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12102434130 = 2351776131183
BaseRepresentation
bin10110100010101110…
…00111110101010010
31011020102212100120010
423101113013311102
5144241210343010
65320525055350
7605623664343
oct132127076522
934212770503
1012102434130
115150565986
1224190b7556
1311ab44b237
1482b4840ca
154ac756620
hex2d15c7d52

12102434130 has 64 divisors (see below), whose sum is σ = 30795821568. Its totient is φ = 3033384960.

The previous prime is 12102434087. The next prime is 12102434159. The reversal of 12102434130 is 3143420121.

It is a junction number, because it is equal to n+sod(n) for n = 12102434097 and 12102434106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372519 + ... + 403701.

It is an arithmetic number, because the mean of its divisors is an integer number (481184712).

Almost surely, 212102434130 is an apocalyptic number.

12102434130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102434130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397910784).

12102434130 is an abundant number, since it is smaller than the sum of its proper divisors (18693387438).

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

12102434130 is a wasteful number, since it uses less digits than its factorization.

12102434130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31971.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12102434130 its reverse (3143420121), we get a palindrome (15245854251).

The spelling of 12102434130 in words is "twelve billion, one hundred two million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 761 1522 2283 3805 4566 7610 11415 12937 22830 25874 31183 38811 62366 64685 77622 93549 129370 155915 187098 194055 311830 388110 467745 530111 935490 1060222 1590333 2650555 3180666 5301110 7951665 15903330 23730263 47460526 71190789 118651315 142381578 237302630 355953945 403414471 711907890 806828942 1210243413 2017072355 2420486826 4034144710 6051217065 12102434130