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10129002 = 2313315971
BaseRepresentation
bin100110101000…
…111001101010
3201001121101020
4212220321222
510043112002
61001033310
7152044422
oct46507152
921047336
1010129002
115799084
123485836
1321384c0
1414b9482
15d512bc
hex9a8e6a

10129002 has 64 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 2923200.

The previous prime is 10128997. The next prime is 10129003. The reversal of 10129002 is 20092101.

It is a happy number.

10129002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10129003) 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, 142627 + ... + 142697.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 210129002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10129002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

10129002 is an abundant number, since it is smaller than the sum of its proper divisors (13095318).

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

10129002 is a wasteful number, since it uses less digits than its factorization.

10129002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10129002 is about 3182.6093068424. The cubic root of 10129002 is about 216.3659349164.

The spelling of 10129002 in words is "ten million, one hundred twenty-nine thousand, two".

Divisors: 1 2 3 6 13 26 31 39 59 62 71 78 93 118 142 177 186 213 354 403 426 767 806 923 1209 1534 1829 1846 2201 2301 2418 2769 3658 4189 4402 4602 5487 5538 6603 8378 10974 12567 13206 23777 25134 28613 47554 54457 57226 71331 85839 108914 129859 142662 163371 171678 259718 326742 389577 779154 1688167 3376334 5064501 10129002