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10038278130 = 2358319121107
BaseRepresentation
bin10010101100101001…
…11111011111110010
3221220120210100211220
421112110333133302
5131024244400010
64340031045510
7503520645666
oct112624773762
927816710756
1010038278130
114291389a31
121b41970896
13c3c90035a
146b32888a6
153db41e970
hex25653f7f2

10038278130 has 64 divisors (see below), whose sum is σ = 24510947328. Its totient is φ = 2630651840.

The previous prime is 10038278123. The next prime is 10038278137. The reversal of 10038278130 is 3187283001.

It is an interprime number because it is at equal distance from previous prime (10038278123) and next prime (10038278137).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10038278091 and 10038278100.

It is not an unprimeable number, because it can be changed into a prime (10038278137) 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, 465037 + ... + 486143.

It is an arithmetic number, because the mean of its divisors is an integer number (382983552).

Almost surely, 210038278130 is an apocalyptic number.

10038278130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10038278130 is an abundant number, since it is smaller than the sum of its proper divisors (14472669198).

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

10038278130 is a wasteful number, since it uses less digits than its factorization.

10038278130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21391.

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 10038278130 in words is "ten billion, thirty-eight million, two hundred seventy-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 83 166 191 249 382 415 498 573 830 955 1146 1245 1910 2490 2865 5730 15853 21107 31706 42214 47559 63321 79265 95118 105535 126642 158530 211070 237795 316605 475590 633210 1751881 3503762 4031437 5255643 8062874 8759405 10511286 12094311 17518810 20157185 24188622 26278215 40314370 52556430 60471555 120943110 334609271 669218542 1003827813 1673046355 2007655626 3346092710 5019139065 10038278130