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213323322203131 = 721916724142113523
BaseRepresentation
bin110000100000010000110100…
…110101111001101111111011
31000222022111210002220021210011
4300200100310311321233323
5210430042130441000011
62033411214211002351
762635046534424100
oct6040206465715773
91028274702807704
10213323322203131
1161a75a05068788
121bb135a4b993b7
1392053c2807c9a
143a96c9238caa7
15199e06863c621
hexc20434d79bfb

213323322203131 has 96 divisors (see below), whose sum is σ = 264513055403520. Its totient is φ = 171053256729600.

The previous prime is 213323322203087. The next prime is 213323322203141. The reversal of 213323322203131 is 131302223323312.

It is not a de Polignac number, because 213323322203131 - 227 = 213323187985403 is a prime.

It is a super-2 number, since 2×2133233222031312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213323322203093 and 213323322203102.

It is not an unprimeable number, because it can be changed into a prime (213323322203141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15774845136 + ... + 15774858658.

It is an arithmetic number, because the mean of its divisors is an integer number (2755344327120).

Almost surely, 2213323322203131 is an apocalyptic number.

213323322203131 is a deficient number, since it is larger than the sum of its proper divisors (51189733200389).

213323322203131 is a wasteful number, since it uses less digits than its factorization.

213323322203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14385 (or 14378 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 213323322203131 its reverse (131302223323312), we get a palindrome (344625545526443).

The spelling of 213323322203131 in words is "two hundred thirteen trillion, three hundred twenty-three billion, three hundred twenty-two million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 7 19 49 133 167 241 421 931 1169 1687 2947 3173 4579 7999 8183 11809 13523 20629 22211 32053 40247 55993 70307 94661 101461 155477 224371 256937 281729 391951 492149 662627 710227 764693 1335833 1798559 1927759 1972103 2258341 3259043 3445043 4971589 5352851 5693183 9350831 12589913 13494313 15808387 16943987 22813301 37469957 39852281 42908479 61921817 65455817 94460191 108170477 110658709 118607909 159693107 278965967 300359353 321935753 433452719 544260181 757193339 830255363 950761561 1372057103 2102515471 2253550271 3034169033 3809821267 5300353373 6655330927 9604399721 10340943439 15774851897 18064469659 26069084957 26668748869 46587316489 67230798047 72386604073 126451287613 182483594699 229133536201 506706228511 885159013291 1277385162893 1603934753407 4353537187819 11227543273849 30474760314733 213323322203131