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31610442138 = 231137113114553
BaseRepresentation
bin11101011100001000…
…010001000110011010
310000120222121211200020
4131130020101012122
51004214233122023
622304401251310
72166223216302
oct353410210632
9100528554606
1031610442138
11124512a8050
126162333b36
132c99c15a42
14175c29a602
15c501dbde3
hex75c21119a

31610442138 has 64 divisors (see below), whose sum is σ = 71459701632. Its totient is φ = 9237473280.

The previous prime is 31610442137. The next prime is 31610442179. The reversal of 31610442138 is 83124401613.

It is a super-2 number, since 2×316104421382 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 31610442099 and 31610442108.

It is not an unprimeable number, because it can be changed into a prime (31610442131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218670 + ... + 333222.

It is an arithmetic number, because the mean of its divisors is an integer number (1116557838).

Almost surely, 231610442138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31610442138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35729850816).

31610442138 is an abundant number, since it is smaller than the sum of its proper divisors (39849259494).

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

31610442138 is a wasteful number, since it uses less digits than its factorization.

31610442138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114719.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 31610442138 in words is "thirty-one billion, six hundred ten million, four hundred forty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 113 222 226 339 407 678 814 1221 1243 2442 2486 3729 4181 7458 8362 12543 25086 45991 91982 114553 137973 229106 275946 343659 687318 1260083 2520166 3780249 4238461 7560498 8476922 12715383 12944489 25430766 25888978 38833467 46623071 77666934 93246142 139869213 142389379 279738426 284778758 427168137 478946093 854336274 957892186 1436838279 2873676558 5268407023 10536814046 15805221069 31610442138