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10141102452 = 223132913011723
BaseRepresentation
bin10010111000111010…
…01111000101110100
3222011202021101022010
421130131033011310
5131232110234302
64354143004220
7506206643235
oct113435170564
928152241263
1010141102452
11433442a408
121b70299670
13c57cc2550
146c2bb308c
153e548116c
hex25c74f174

10141102452 has 96 divisors (see below), whose sum is σ = 26397060480. Its totient is φ = 3008678400.

The previous prime is 10141102409. The next prime is 10141102471. The reversal of 10141102452 is 25420114101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5884863 + ... + 5886585.

It is an arithmetic number, because the mean of its divisors is an integer number (274969380).

Almost surely, 210141102452 is an apocalyptic number.

10141102452 is a gapful number since it is divisible by the number (12) 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 10141102452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198530240).

10141102452 is an abundant number, since it is smaller than the sum of its proper divisors (16255958028).

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

10141102452 is a wasteful number, since it uses less digits than its factorization.

10141102452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 10141102452 its reverse (25420114101), we get a palindrome (35561216553).

The spelling of 10141102452 in words is "ten billion, one hundred forty-one million, one hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1301 1508 1723 2262 2602 3446 3903 4524 5169 5204 6892 7806 10338 15612 16913 20676 22399 33826 37729 44798 49967 50739 67197 67652 75458 89596 99934 101478 113187 134394 149901 150916 199868 202956 226374 268788 299802 452748 490477 599604 649571 980954 1299142 1471431 1948713 1961908 2241623 2598284 2942862 3897426 4483246 5885724 6724869 7794852 8966492 13449738 26899476 29141099 58282198 65007067 87423297 116564396 130014134 174846594 195021201 260028268 349693188 390042402 780084804 845091871 1690183742 2535275613 3380367484 5070551226 10141102452