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213507138411 = 3372191844927
BaseRepresentation
bin1100011011011000000…
…1000110001101101011
3202102002200100102002000
43012312001012031223
511444230311412121
6242030034542043
721265622506200
oct3066601061553
9672080312060
10213507138411
1182603239206
1235467137923
13171977a5178
14a495d3dca7
15584919e526
hex31b604636b

213507138411 has 48 divisors (see below), whose sum is σ = 369875681280. Its totient is φ = 121365170640.

The previous prime is 213507138353. The next prime is 213507138413. The reversal of 213507138411 is 114831705312.

213507138411 is a `hidden beast` number, since 2 + 1 + 3 + 507 + 138 + 4 + 11 = 666.

It is not a de Polignac number, because 213507138411 - 26 = 213507138347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213507138413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169771 + ... + 675156.

It is an arithmetic number, because the mean of its divisors is an integer number (7705743360).

Almost surely, 2213507138411 is an apocalyptic number.

213507138411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213507138411 is a deficient number, since it is larger than the sum of its proper divisors (156368542869).

213507138411 is a wasteful number, since it uses less digits than its factorization.

213507138411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845141 (or 845128 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 213507138411 in words is "two hundred thirteen billion, five hundred seven million, one hundred thirty-eight thousand, four hundred eleven".

Divisors: 1 3 7 9 21 27 49 63 147 189 191 441 573 1323 1337 1719 4011 5157 9359 12033 28077 36099 84231 252693 844927 2534781 5914489 7604343 17743467 22813029 41401423 53230401 124204269 159691203 161381057 372612807 484143171 1117838421 1129667399 1452429513 3389002197 4357288539 7907671793 10167006591 23723015379 30501019773 71169046137 213507138411