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112713829741 = 2572857153509
BaseRepresentation
bin110100011111001000…
…1001000110101101101
3101202221012221210220201
41220332101020311231
53321314220022431
6123440252313501
711100103513342
oct1507621106555
9352835853821
10112713829741
1143890022607
1219a17772891
13a823816416
1456537b67c9
152dea4b0461
hex1a3e448d6d

112713829741 has 8 divisors (see below), whose sum is σ = 113192747640. Its totient is φ = 112235225088.

The previous prime is 112713829729. The next prime is 112713829763. The reversal of 112713829741 is 147928317211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52996644100 + 59717185641 = 230210^2 + 244371^2 .

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 112713829741 - 29 = 112713829229 is a prime.

It is a super-2 number, since 2×1127138297412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112713829691 and 112713829700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112713820741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657495 + ... + 811003.

It is an arithmetic number, because the mean of its divisors is an integer number (14149093455).

Almost surely, 2112713829741 is an apocalyptic number.

It is an amenable number.

112713829741 is a deficient number, since it is larger than the sum of its proper divisors (478917899).

112713829741 is a wasteful number, since it uses less digits than its factorization.

112713829741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156623.

The product of its digits is 169344, while the sum is 46.

The spelling of 112713829741 in words is "one hundred twelve billion, seven hundred thirteen million, eight hundred twenty-nine thousand, seven hundred forty-one".

Divisors: 1 257 2857 153509 734249 39451813 438575213 112713829741