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10052531120 = 245177391567
BaseRepresentation
bin10010101110010110…
…10111001110110000
3221221120121111021102
421113023113032300
5131041421443440
64341300343532
7504053050622
oct112713271660
927846544242
1010052531120
114299434465
121b466a4ba8
13c42850988
146b5118c12
153dc7d7b15
hex2572d73b0

10052531120 has 40 divisors (see below), whose sum is σ = 24746969664. Its totient is φ = 3784481792.

The previous prime is 10052531101. The next prime is 10052531129. The reversal of 10052531120 is 2113525001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10052531092 and 10052531101.

It is not an unprimeable number, because it can be changed into a prime (10052531129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3694424 + ... + 3697143.

Almost surely, 210052531120 is an apocalyptic number.

10052531120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10052531120 is an abundant number, since it is smaller than the sum of its proper divisors (14694438544).

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

10052531120 is a wasteful number, since it uses less digits than its factorization.

10052531120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7391597 (or 7391591 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 10052531120 in words is "ten billion, fifty-two million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 7391567 14783134 29566268 36957835 59132536 73915670 118265072 125656639 147831340 251313278 295662680 502626556 591325360 628283195 1005253112 1256566390 2010506224 2513132780 5026265560 10052531120