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211268712836097 = 327167149913396043
BaseRepresentation
bin110000000010010111010100…
…100101001010110000000001
31000201001002110211220011022200
4300002113110211022300001
5210142411310441223342
62025155301245423413
762333442440105310
oct6002272445126001
91021032424804280
10211268712836097
11613536156a5204
121b84136056ab69
1390b67285871a7
143a25662d54277
1519658b62c694c
hexc025d494ac01

211268712836097 has 48 divisors (see below), whose sum is σ = 351083521152000. Its totient is φ = 119922010994016.

The previous prime is 211268712836059. The next prime is 211268712836123. The reversal of 211268712836097 is 790638217862112.

211268712836097 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 6 + 8 + 7 + 12 + 8 + 3 + 609 + 7 = 666.

It is not a de Polignac number, because 211268712836097 - 28 = 211268712835841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (211268712834097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9072958 + ... + 22469000.

It is an arithmetic number, because the mean of its divisors is an integer number (7314240024000).

Almost surely, 2211268712836097 is an apocalyptic number.

It is an amenable number.

211268712836097 is a deficient number, since it is larger than the sum of its proper divisors (139814808315903).

211268712836097 is a wasteful number, since it uses less digits than its factorization.

211268712836097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13397722 (or 13397719 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 211268712836097 in words is "two hundred eleven trillion, two hundred sixty-eight billion, seven hundred twelve million, eight hundred thirty-six thousand, ninety-seven".

Divisors: 1 3 7 9 21 63 167 501 1169 1499 1503 3507 4497 10493 10521 13491 31479 94437 250333 750999 1752331 2252997 5256993 13396043 15770979 40188129 93772301 120564387 281316903 843950709 2237139181 6711417543 15659974267 20080668457 20134252629 46979922801 60242005371 140564679199 140939768403 180726016113 421694037597 1265082112791 3353471632319 10060414896957 23474301426233 30181244690871 70422904278699 211268712836097