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13437117101 = 172332133893
BaseRepresentation
bin11001000001110101…
…00010001010101101
31021200110022021101202
430200322202022231
5210004400221401
610101204015245
7653661416342
oct144072421255
937613267352
1013437117101
1157759a1a61
122730091525
131361b0a885
149168327c9
155399e806b
hex320ea22ad

13437117101 has 8 divisors (see below), whose sum is σ = 14228565624. Its totient is φ = 12645783040.

The previous prime is 13437117097. The next prime is 13437117119. The reversal of 13437117101 is 10171173431.

It can be written as a sum of positive squares in 4 ways, for example, as 5008959076 + 8428158025 = 70774^2 + 91805^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13437117101 - 22 = 13437117097 is a prime.

It is a super-2 number, since 2×134371171012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13437117131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379511 + ... + 413403.

It is an arithmetic number, because the mean of its divisors is an integer number (1778570703).

Almost surely, 213437117101 is an apocalyptic number.

It is an amenable number.

13437117101 is a deficient number, since it is larger than the sum of its proper divisors (791448523).

13437117101 is a wasteful number, since it uses less digits than its factorization.

13437117101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57231.

The product of its (nonzero) digits is 1764, while the sum is 29.

The spelling of 13437117101 in words is "thirteen billion, four hundred thirty-seven million, one hundred seventeen thousand, one hundred one".

Divisors: 1 17 23321 33893 396457 576181 790418653 13437117101