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1023053432120 = 235193759616639
BaseRepresentation
bin11101110001100101011…
…11001000010100111000
310121210200100112010011022
432320302233020110320
5113230203134311440
62101552333322012
7133625134456256
oct16706257102470
93553610463138
101023053432120
11364968a9a735
12146336636308
1375620445335
14377320835d6
151b92a5cccb5
hexee32bc8538

1023053432120 has 128 divisors (see below), whose sum is σ = 2530690560000. Its totient is φ = 370811561472.

The previous prime is 1023053432041. The next prime is 1023053432123. The reversal of 1023053432120 is 212343503201.

It is a happy number.

1023053432120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10230534321202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1023053432120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023053432123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350761 + ... + 1967399.

It is an arithmetic number, because the mean of its divisors is an integer number (19771020000).

Almost surely, 21023053432120 is an apocalyptic number.

1023053432120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023053432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265345280000).

1023053432120 is an abundant number, since it is smaller than the sum of its proper divisors (1507637127880).

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

1023053432120 is a wasteful number, since it uses less digits than its factorization.

1023053432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616765 (or 616761 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 1023053432120 its reverse (212343503201), we get a palindrome (1235396935321).

The spelling of 1023053432120 in words is "one trillion, twenty-three billion, fifty-three million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 59 74 76 95 118 148 152 185 190 236 295 296 370 380 472 590 703 740 760 1121 1180 1406 1480 2183 2242 2360 2812 3515 4366 4484 5605 5624 7030 8732 8968 10915 11210 14060 17464 21830 22420 28120 41477 43660 44840 82954 87320 165908 207385 331816 414770 616639 829540 1233278 1659080 2466556 3083195 4933112 6166390 11716141 12332780 22815643 23432282 24665560 36381701 45631286 46864564 58580705 72763402 91262572 93729128 114078215 117161410 145526804 181908505 182525144 228156430 234322820 291053608 363817010 433497217 456312860 468645640 691252319 727634020 866994434 912625720 1346122937 1382504638 1455268040 1733988868 2167486085 2692245874 2765009276 3456261595 3467977736 4334972170 5384491748 5530018552 6730614685 6912523190 8669944340 10768983496 13461229370 13825046380 17339888680 25576335803 26922458740 27650092760 51152671606 53844917480 102305343212 127881679015 204610686424 255763358030 511526716060 1023053432120