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10102334240 = 255531191313
BaseRepresentation
bin10010110100010010…
…10110001100100000
3222002001022202022102
421122021112030200
5131142144143430
64350240025532
7505226265335
oct113211261440
928061282272
1010102334240
114314560269
121b5b3022a8
13c4cc6a58b
146bb9a098c
153e1d74345
hex25a256320

10102334240 has 48 divisors (see below), whose sum is σ = 24317101368. Its totient is φ = 3964686336.

The previous prime is 10102334239. The next prime is 10102334243. The reversal of 10102334240 is 4243320101.

It can be written as a sum of positive squares in 4 ways, for example, as 10088997136 + 13337104 = 100444^2 + 3652^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10102334243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587177 + ... + 604136.

Almost surely, 210102334240 is an apocalyptic number.

10102334240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102334240 is an abundant number, since it is smaller than the sum of its proper divisors (14214767128).

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

10102334240 is a wasteful number, since it uses less digits than its factorization.

10102334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191381 (or 1191373 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10102334240 its reverse (4243320101), we get a palindrome (14345654341).

The spelling of 10102334240 in words is "ten billion, one hundred two million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 1191313 2382626 4765252 5956565 9530504 11913130 19061008 23826260 38122016 47652520 63139589 95305040 126279178 190610080 252558356 315697945 505116712 631395890 1010233424 1262791780 2020466848 2525583560 5051167120 10102334240