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13214222130 = 2353117979379
BaseRepresentation
bin11000100111010000…
…10000011100110010
31021002220220000222110
430103220100130302
5204030320102010
610023122350150
7645314014644
oct142350203462
937086800873
1013214222130
1156710a173a
1226894bb356
131327898565
148d4db0894
1552516a120
hex313a10732

13214222130 has 64 divisors (see below), whose sum is σ = 32920473600. Its totient is φ = 3391028160.

The previous prime is 13214222123. The next prime is 13214222167. The reversal of 13214222130 is 3122241231.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13214222097 and 13214222106.

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, 126781 + ... + 206159.

It is an arithmetic number, because the mean of its divisors is an integer number (514382400).

Almost surely, 213214222130 is an apocalyptic number.

13214222130 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 13214222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16460236800).

13214222130 is an abundant number, since it is smaller than the sum of its proper divisors (19706251470).

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

13214222130 is a wasteful number, since it uses less digits than its factorization.

13214222130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79599.

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

Adding to 13214222130 its reverse (3122241231), we get a palindrome (16336463361).

The spelling of 13214222130 in words is "thirteen billion, two hundred fourteen million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 179 186 310 358 465 537 895 930 1074 1790 2685 5370 5549 11098 16647 27745 33294 55490 79379 83235 158758 166470 238137 396895 476274 793790 1190685 2381370 2460749 4921498 7382247 12303745 14208841 14764494 24607490 28417682 36911235 42626523 71044205 73822470 85253046 142088410 213132615 426265230 440474071 880948142 1321422213 2202370355 2642844426 4404740710 6607111065 13214222130