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211264334121144 = 23317517804740493
BaseRepresentation
bin110000000010010011001111…
…100101101100100010111000
31000201000200011200120101121210
4300002103033211230202320
5210142323324013334034
62025153254550403120
762333226100460433
oct6002231745544270
91021020150511553
10211264334121144
1161351778a63917
121b84053a0604a0
1390b61ab3674b5
143a253695ba81a
15196570bb948e9
hexc024cf96c8b8

211264334121144 has 32 divisors (see below), whose sum is σ = 559229119733520. Its totient is φ = 66279006782976.

The previous prime is 211264334121131. The next prime is 211264334121187. The reversal of 211264334121144 is 441121433462112.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258902369839 + ... + 258902370654.

Almost surely, 2211264334121144 is an apocalyptic number.

211264334121144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211264334121144 is an abundant number, since it is smaller than the sum of its proper divisors (347964785612376).

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

211264334121144 is a wasteful number, since it uses less digits than its factorization.

211264334121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517804740519 (or 517804740515 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

Adding to 211264334121144 its reverse (441121433462112), we get a palindrome (652385767583256).

The spelling of 211264334121144 in words is "two hundred eleven trillion, two hundred sixty-four billion, three hundred thirty-four million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 517804740493 1035609480986 1553414221479 2071218961972 3106828442958 4142437923944 6213656885916 8802680588381 12427313771832 17605361176762 26408041765143 35210722353524 52816083530286 70421444707048 105632167060572 211264334121144