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31000402242 = 2331964147137
BaseRepresentation
bin11100110111110001…
…001001100101000010
32222000110201121021000
4130313301021211002
51001442100332432
622124050112430
72145135033315
oct346761114502
988013647230
1031000402242
1112168a12047
126011b7b716
132c007133a4
14170125c97c
15c1688957c
hex737c49942

31000402242 has 64 divisors (see below), whose sum is σ = 72630230400. Its totient is φ = 9774120960.

The previous prime is 31000402229. The next prime is 31000402243. The reversal of 31000402242 is 24220400013.

It is a super-2 number, since 2×310004022422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31000402243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634098 + ... + 681234.

It is an arithmetic number, because the mean of its divisors is an integer number (1134847350).

Almost surely, 231000402242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31000402242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36315115200).

31000402242 is an abundant number, since it is smaller than the sum of its proper divisors (41629828158).

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

31000402242 is a wasteful number, since it uses less digits than its factorization.

31000402242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47808 (or 47802 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 31000402242 its reverse (24220400013), we get a palindrome (55220802255).

The spelling of 31000402242 in words is "thirty-one billion, four hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 641 1026 1282 1923 3846 5769 11538 12179 17307 24358 34614 36537 47137 73074 94274 109611 141411 219222 282822 328833 424233 657666 848466 895603 1272699 1791206 2545398 2686809 5373618 8060427 16120854 24181281 30214817 48362562 60429634 90644451 181288902 271933353 543866706 574081523 815800059 1148163046 1631600118 1722244569 3444489138 5166733707 10333467414 15500201121 31000402242