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211331122134 = 231123598328429
BaseRepresentation
bin1100010011010001010…
…0010000001111010110
3202012111000210022220120
43010310110100033112
511430301231402014
6241030103212410
721160660620336
oct3046424201726
9665430708816
10211331122134
11816969aaa50
1234b5a447106
1316c0ba20282
14a32ad470c6
15576d11dba9
hex31345103d6

211331122134 has 128 divisors (see below), whose sum is σ = 495200563200. Its totient is φ = 59489569920.

The previous prime is 211331122127. The next prime is 211331122159. The reversal of 211331122134 is 431221133112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7419432 + ... + 7447860.

It is an arithmetic number, because the mean of its divisors is an integer number (3868754400).

Almost surely, 2211331122134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211331122134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247600281600).

211331122134 is an abundant number, since it is smaller than the sum of its proper divisors (283869441066).

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

211331122134 is a wasteful number, since it uses less digits than its factorization.

211331122134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28610.

The product of its digits is 864, while the sum is 24.

Adding to 211331122134 its reverse (431221133112), we get a palindrome (642552255246).

The spelling of 211331122134 in words is "two hundred eleven billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 59 66 69 83 118 138 166 177 249 253 354 498 506 649 759 913 1298 1357 1518 1826 1909 1947 2714 2739 3818 3894 4071 4897 5478 5727 8142 9794 11454 14691 14927 20999 28429 29382 29854 41998 44781 53867 56858 62997 85287 89562 107734 112631 125994 161601 170574 225262 312719 323202 337893 625438 653867 675786 938157 1238941 1307734 1677311 1876314 1961601 2359607 2477882 3354622 3716823 3923202 4719214 5031933 7078821 7192537 7433646 10063866 14157642 14385074 18450421 21577611 25955677 36900842 38578153 43155222 51911354 54270961 55351263 77156306 77867031 108541922 110702526 115734459 139216813 155734062 162812883 231468918 278433626 325625766 417650439 424359683 596980571 835300878 848719366 1193961142 1273079049 1531384943 1790941713 2546158098 3062769886 3201986699 3581883426 4594154829 6403973398 9188309658 9605960097 19211920194 35221853689 70443707378 105665561067 211331122134