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10141037320 = 2351149122063
BaseRepresentation
bin10010111000111001…
…11111001100001000
3222011202011001221211
421130130333030020
5131232101143240
64354141342504
7506206252321
oct113434771410
928152131854
1010141037320
114334395487
121b70267a34
13c57c9b9cb
146c2b97448
153e546bbea
hex25c73f308

10141037320 has 32 divisors (see below), whose sum is σ = 22820353920. Its totient is φ = 4055878080.

The previous prime is 10141037227. The next prime is 10141037327. The reversal of 10141037320 is 2373014101.

10141037320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10141037291 and 10141037300.

It is not an unprimeable number, because it can be changed into a prime (10141037327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448609 + ... + 470671.

It is an arithmetic number, because the mean of its divisors is an integer number (713136060).

Almost surely, 210141037320 is an apocalyptic number.

10141037320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141037320 is an abundant number, since it is smaller than the sum of its proper divisors (12679316600).

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

10141037320 is a wasteful number, since it uses less digits than its factorization.

10141037320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33565 (or 33561 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The spelling of 10141037320 in words is "ten billion, one hundred forty-one million, thirty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 11491 22063 22982 44126 45964 57455 88252 91928 110315 114910 176504 220630 229820 441260 459640 882520 253525933 507051866 1014103732 1267629665 2028207464 2535259330 5070518660 10141037320