Search a number
-
+
211221523203132 = 2231329101462268393
BaseRepresentation
bin110000000001101011010111…
…110111000000010000111100
31000200212120200010021102111210
4300001223113313000100330
5210141123134420000012
62025121454520044420
762330152151616411
oct6001532767002074
91020776603242453
10211221523203132
11613355aa350542
121b834190903710
1390b2147b34350
143a23267986108
15196455351823c
hexc01ad7dc043c

211221523203132 has 96 divisors (see below), whose sum is σ = 554500183970880. Its totient is φ = 62128871884800.

The previous prime is 211221523203079. The next prime is 211221523203133. The reversal of 211221523203132 is 231302325122112.

It is a super-2 number, since 2×2112215232031322 (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 211221523203132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221523203133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230677273 + ... + 231591120.

It is an arithmetic number, because the mean of its divisors is an integer number (5776043583030).

Almost surely, 2211221523203132 is an apocalyptic number.

It is an amenable number.

211221523203132 is an abundant number, since it is smaller than the sum of its proper divisors (343278660767748).

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

211221523203132 is a wasteful number, since it uses less digits than its factorization.

211221523203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462268543 (or 462268541 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 211221523203132 its reverse (231302325122112), we get a palindrome (442523848325244).

The spelling of 211221523203132 in words is "two hundred eleven trillion, two hundred twenty-one billion, five hundred twenty-three million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 101 116 156 174 202 303 348 377 404 606 754 1131 1212 1313 1508 2262 2626 2929 3939 4524 5252 5858 7878 8787 11716 15756 17574 35148 38077 76154 114231 152308 228462 456924 462268393 924536786 1386805179 1849073572 2773610358 5547220716 6009489109 12018978218 13405783397 18028467327 24037956436 26811566794 36056934654 40217350191 46689107693 53623133588 72113869308 80434700382 93378215386 140067323079 160869400764 174275184161 186756430772 280134646158 348550368322 522825552483 560269292316 606958400009 697100736644 1045651104966 1213916800018 1353984123097 1820875200027 2091302209932 2427833600036 2707968246194 3641750400054 4061952369291 5415936492388 7283500800108 8123904738582 16247809477164 17601793600261 35203587200522 52805380800783 70407174401044 105610761601566 211221523203132