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213130122312 = 233371237194027
BaseRepresentation
bin1100011001111110001…
…0111001010001001000
3202101010101221000012210
43012133202321101020
511442442302403222
6241524410105120
721253364101662
oct3063742712110
9671111830183
10213130122312
118242a441458
1235380a1b1a0
1317137650213
14a45bc3d532
15582602ad0c
hex319f8b9448

213130122312 has 64 divisors (see below), whose sum is σ = 547671193920. Its totient is φ = 69067047168.

The previous prime is 213130122277. The next prime is 213130122319. The reversal of 213130122312 is 213221031312.

It is not an unprimeable number, because it can be changed into a prime (213130122319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001443 + ... + 1195469.

It is an arithmetic number, because the mean of its divisors is an integer number (8557362405).

Almost surely, 2213130122312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213130122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273835596960).

213130122312 is an abundant number, since it is smaller than the sum of its proper divisors (334541071608).

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

213130122312 is a wasteful number, since it uses less digits than its factorization.

213130122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195310 (or 195306 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213130122312 its reverse (213221031312), we get a palindrome (426351153624).

The spelling of 213130122312 in words is "two hundred thirteen billion, one hundred thirty million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1237 2474 3711 4948 7422 9896 14844 29688 45769 91538 137307 183076 194027 274614 366152 388054 549228 582081 776108 1098456 1164162 1552216 2328324 4656648 7178999 14357998 21536997 28715996 43073994 57431992 86147988 172295976 240011399 480022798 720034197 960045596 1440068394 1920091192 2880136788 5760273576 8880421763 17760843526 26641265289 35521687052 53282530578 71043374104 106565061156 213130122312