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123152203010430 = 23451179011749373
BaseRepresentation
bin11100000000000110011011…
…010100000101000101111110
3121011001020100202212100110000
4130000012123110011011332
5112120211202432313210
61113531201355055130
734640311252530366
oct3400063324050576
9534036322770400
10123152203010430
1136270613034410
121198b87b7414a6
135394283a52999
14225a8541399a6
15e3871108cac0
hex70019b50517e

123152203010430 has 160 divisors (see below), whose sum is σ = 361292390303328. Its totient is φ = 29851283808000.

The previous prime is 123152203010429. The next prime is 123152203010449. The reversal of 123152203010430 is 34010302251321.

123152203010430 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 5 + 220 + 3 + 0 + 1 + 0 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123152203010394 and 123152203010403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69523224 + ... + 71272596.

Almost surely, 2123152203010430 is an apocalyptic number.

123152203010430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123152203010430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180646195151664).

123152203010430 is an abundant number, since it is smaller than the sum of its proper divisors (238140187292898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123152203010430 is a wasteful number, since it uses less digits than its factorization.

123152203010430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757304 (or 1757295 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 123152203010430 its reverse (34010302251321), we get a palindrome (157162505261751).

The spelling of 123152203010430 in words is "one hundred twenty-three trillion, one hundred fifty-two billion, two hundred three million, ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 7901 8910 15802 23703 39505 47406 71109 79010 86911 118515 142218 173822 213327 237030 260733 355545 426654 434555 521466 639981 711090 782199 869110 1066635 1279962 1303665 1564398 1749373 2133270 2346597 2607330 3199905 3498746 3910995 4693194 5248119 6399810 7039791 7821990 8746865 10496238 11732985 14079582 15744357 17493730 19243103 23465970 26240595 31488714 35198955 38486206 47233071 52481190 57729309 70397910 78721785 94466142 96215515 115458618 141699213 157443570 173187927 192431030 236165355 283398426 288646545 346375854 472330710 519563781 577293090 708496065 865939635 1039127562 1416992130 1558691343 1731879270 2597818905 3117382686 5195637810 7793456715 13821796073 15586913430 27643592146 41465388219 69108980365 82930776438 124396164657 138217960730 152039756803 207326941095 248792329314 304079513606 373188493971 414653882190 456119270409 621980823285 746376987942 760198784015 912238540818 1119565481913 1243961646570 1368357811227 1520397568030 1865942469855 2239130963826 2280596352045 2736715622454 3731884939710 4105073433681 4561192704090 5597827409565 6841789056135 8210146867362 11195654819130 12315220301043 13683578112270 20525367168405 24630440602086 41050734336810 61576101505215 123152203010430