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214125106130 = 251329345712301
BaseRepresentation
bin1100011101101011011…
…0011101001111010010
3202110200202011102102022
43013122312131033102
512002012011344010
6242211232051442
721320135241305
oct3073266351722
9673622142368
10214125106130
11828a0049531
12355ba093b82
1317265822140
14a514042b3c
15588356ad55
hex31dad9d3d2

214125106130 has 64 divisors (see below), whose sum is σ = 417435203808. Its totient is φ = 78612940800.

The previous prime is 214125106127. The next prime is 214125106183. The reversal of 214125106130 is 31601521412.

It can be written as a sum of positive squares in 16 ways, for example, as 55009480681 + 159115625449 = 234541^2 + 398893^2 .

It is a super-2 number, since 2×2141251061302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 214125106130.

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, 17400980 + ... + 17413280.

Almost surely, 2214125106130 is an apocalyptic number.

214125106130 is a deficient number, since it is larger than the sum of its proper divisors (203310097678).

214125106130 is a wasteful number, since it uses less digits than its factorization.

214125106130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13071.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 214125106130 its reverse (31601521412), we get a palindrome (245726627542).

The spelling of 214125106130 in words is "two hundred fourteen billion, one hundred twenty-five million, one hundred six thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 293 457 586 914 1465 2285 2930 3809 4570 5941 7618 11882 12301 19045 24602 29705 38090 59410 61505 123010 133901 159913 267802 319826 669505 799565 1339010 1599130 1740713 3481426 3604193 5621557 7208386 8703565 11243114 17407130 18020965 28107785 36041930 46854509 56215570 73080241 93709018 146160482 234272545 365401205 468545090 730802410 1647116201 3294232402 8235581005 16471162010 21412510613 42825021226 107062553065 214125106130