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122211000130134 = 23194791572490889
BaseRepresentation
bin11011110010011001110111…
…010000000001101001010110
3121000201020221201121002011010
4123302121313100001221112
5112004301112013131014
61111530543002553050
734512311340203406
oct3362316720015126
9530636851532133
10122211000130134
1135a384375a2833
1211859388808786
1353265a8c51b46
142227088906806
15e1dec6670359
hex6f2677401a56

122211000130134 has 64 divisors (see below), whose sum is σ = 262789293542400. Its totient is φ = 37767680794368.

The previous prime is 122211000130123. The next prime is 122211000130139. The reversal of 122211000130134 is 431031000112221.

It is a super-2 number, since 2×1222110001301342 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122211000130134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211000130139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47817762 + ... + 50308650.

It is an arithmetic number, because the mean of its divisors is an integer number (4106082711600).

Almost surely, 2122211000130134 is an apocalyptic number.

122211000130134 is an abundant number, since it is smaller than the sum of its proper divisors (140578293412266).

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

122211000130134 is a wasteful number, since it uses less digits than its factorization.

122211000130134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500117.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122211000130134 its reverse (431031000112221), we get a palindrome (553242000242355).

The spelling of 122211000130134 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 19 38 47 57 94 114 141 282 893 1786 2679 5358 9157 18314 27471 54942 173983 347966 430379 521949 860758 1043898 1291137 2490889 2582274 4981778 7472667 8177201 14945334 16354402 24531603 47326891 49063206 94653782 117071783 141980673 234143566 283961346 351215349 702430698 2224363877 4448727754 6673091631 13346183262 22809070573 45618141146 68427211719 136854423438 433372340887 866744681774 1072026316931 1300117022661 2144052633862 2600234045322 3216078950793 6432157901586 20368500021689 40737000043378 61105500065067 122211000130134