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10402232412 = 22311137976733
BaseRepresentation
bin10011011000000010…
…10111100001011100
3222211221122011021010
421230001113201130
5132300432414122
64440111535220
7515530342125
oct115401274134
928757564233
1010402232412
1144588751a0
12202382a510
13c9a130c10
1470974904c
1540d362e0c
hex26c05785c

10402232412 has 96 divisors (see below), whose sum is σ = 28876538880. Its totient is φ = 2872846080.

The previous prime is 10402232411. The next prime is 10402232419. The reversal of 10402232412 is 21423220401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402232411) 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, 97198 + ... + 173930.

It is an arithmetic number, because the mean of its divisors is an integer number (300797280).

Almost surely, 210402232412 is an apocalyptic number.

10402232412 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 10402232412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438269440).

10402232412 is an abundant number, since it is smaller than the sum of its proper divisors (18474306468).

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

10402232412 is a wasteful number, since it uses less digits than its factorization.

10402232412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76843 (or 76841 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10402232412 its reverse (21423220401), we get a palindrome (31825452813).

The spelling of 10402232412 in words is "ten billion, four hundred two million, two hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 79 132 143 156 158 237 286 316 429 474 572 858 869 948 1027 1716 1738 2054 2607 3081 3476 4108 5214 6162 10428 11297 12324 22594 33891 45188 67782 76733 135564 153466 230199 306932 460398 844063 920796 997529 1688126 1995058 2532189 2992587 3376252 3990116 5064378 5985174 6061907 10128756 10972819 11970348 12123814 18185721 21945638 24247628 32918457 36371442 43891276 65836914 66680977 72742884 78804791 131673828 133361954 157609582 200042931 236414373 266723908 315219164 400085862 472828746 800171724 866852701 945657492 1733705402 2600558103 3467410804 5201116206 10402232412