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12902105190 = 23513149222029
BaseRepresentation
bin11000000010000011…
…01000000001100110
31020022011120212000210
430001001220001212
5202410414331230
65532132520250
7634504041012
oct140101500146
936264525023
1012902105190
1155209a1657
122600a80086
1312a8017490
148a5765542
15507a65eb0
hex301068066

12902105190 has 64 divisors (see below), whose sum is σ = 33570936000. Its totient is φ = 3154573824.

The previous prime is 12902105159. The next prime is 12902105197. The reversal of 12902105190 is 9150120921.

12902105190 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129021051902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12902105197) 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, 52905 + ... + 169124.

It is an arithmetic number, because the mean of its divisors is an integer number (524545875).

Almost surely, 212902105190 is an apocalyptic number.

12902105190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12902105190 is an abundant number, since it is smaller than the sum of its proper divisors (20668830810).

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

12902105190 is a wasteful number, since it uses less digits than its factorization.

12902105190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222201.

The product of its (nonzero) digits is 1620, while the sum is 30.

The spelling of 12902105190 in words is "twelve billion, nine hundred two million, one hundred five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 149 195 298 390 447 745 894 1490 1937 2235 3874 4470 5811 9685 11622 19370 29055 58110 222029 444058 666087 1110145 1332174 2220290 2886377 3330435 5772754 6660870 8659131 14431885 17318262 28863770 33082321 43295655 66164642 86591310 99246963 165411605 198493926 330823210 430070173 496234815 860140346 992469630 1290210519 2150350865 2580421038 4300701730 6451052595 12902105190