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103332130110 = 23451140128921
BaseRepresentation
bin110000000111100010…
…0110010110100111110
3100212201101122002110000
41200033010302310332
53143111011130420
6115245314055130
710315444420356
oct1401704626476
9325641562400
10103332130110
113a906325840
121803987a4a6
139989c61471
145003801b66
152a4ba37690
hex180f132d3e

103332130110 has 160 divisors (see below), whose sum is σ = 303873967584. Its totient is φ = 24986880000.

The previous prime is 103332130009. The next prime is 103332130123. The reversal of 103332130110 is 11031233301.

It is a happy number.

103332130110 is a `hidden beast` number, since 1 + 0 + 33 + 321 + 301 + 10 = 666.

It is a super-2 number, since 2×1033321301102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3558450 + ... + 3587370.

Almost surely, 2103332130110 is an apocalyptic number.

103332130110 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 103332130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151936983792).

103332130110 is an abundant number, since it is smaller than the sum of its proper divisors (200541837474).

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

103332130110 is a wasteful number, since it uses less digits than its factorization.

103332130110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29352 (or 29343 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103332130110 its reverse (11031233301), we get a palindrome (114363363411).

The spelling of 103332130110 in words is "one hundred three billion, three hundred thirty-two million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 401 405 495 594 802 810 891 990 1203 1485 1782 2005 2406 2970 3609 4010 4411 4455 6015 7218 8822 8910 10827 12030 13233 18045 21654 22055 26466 28921 32481 36090 39699 44110 54135 57842 64962 66165 79398 86763 108270 119097 132330 144605 162405 173526 198495 238194 260289 289210 318131 324810 357291 396990 433815 520578 595485 636262 714582 780867 867630 954393 1190970 1301445 1561734 1590655 1786455 1908786 2342601 2602890 2863179 3181310 3572910 3904335 4685202 4771965 5726358 7808670 8589537 9543930 11597321 11713005 14315895 17179074 23194642 23426010 25768611 28631790 34791963 42947685 51537222 57986605 69583926 85895370 104375889 115973210 127570531 128843055 173959815 208751778 255141062 257686110 313127667 347919630 382711593 521879445 626255334 637852655 765423186 939383001 1043758890 1148134779 1275705310 1565638335 1878766002 1913557965 2296269558 3131276670 3444404337 3827115930 4696915005 5740673895 6888808674 9393830010 10333213011 11481347790 17222021685 20666426022 34444043370 51666065055 103332130110