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10141214232 = 233833739
BaseRepresentation
bin10010111000111011…
…01010011000011000
3222011202111001122010
421130131222120120
5131232122323412
64354145225520
7506210620152
oct113435523030
928152431563
1010141214232
1143344a6396
121b703322a0
13c580313a6
146c2c01ad2
153e54a433c
hex25c76a618

10141214232 has 64 divisors (see below), whose sum is σ = 25696944000. Its totient is φ = 3335157792.

The previous prime is 10141214191. The next prime is 10141214243. The reversal of 10141214232 is 23241214101.

It is a junction number, because it is equal to n+sod(n) for n = 10141214199 and 10141214208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13722519 + ... + 13723257.

It is an arithmetic number, because the mean of its divisors is an integer number (401514750).

Almost surely, 210141214232 is an apocalyptic number.

10141214232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10141214232 is an abundant number, since it is smaller than the sum of its proper divisors (15555729768).

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

10141214232 is an frugal number, since it uses more digits than its factorization.

10141214232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10141214232 its reverse (23241214101), we get a palindrome (33382428333).

The spelling of 10141214232 in words is "ten billion, one hundred forty-one million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 739 996 1478 1992 2217 2956 4434 5912 6889 8868 13778 17736 20667 27556 41334 55112 61337 82668 122674 165336 184011 245348 368022 490696 571787 736044 1143574 1472088 1715361 2287148 3430722 4574296 5090971 6861444 10181942 13722888 15272913 20363884 30545826 40727768 61091652 122183304 422550593 845101186 1267651779 1690202372 2535303558 3380404744 5070607116 10141214232