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31102515140 = 2253124573541
BaseRepresentation
bin11100111101110110…
…101011011111000100
32222021120212110211012
4130331312223133010
51002144220441030
622142134501352
72150515005464
oct347566533704
988246773735
1031102515140
1112210616a74
126040204858
132c18916818
141710a3dba4
15c2080a095
hex73ddab7c4

31102515140 has 72 divisors (see below), whose sum is σ = 67656974616. Its totient is φ = 12009945600.

The previous prime is 31102515131. The next prime is 31102515149. The reversal of 31102515140 is 4151520113.

It is an interprime number because it is at equal distance from previous prime (31102515131) and next prime (31102515149).

It can be written as a sum of positive squares in 4 ways, for example, as 6769011076 + 24333504064 = 82274^2 + 155992^2 .

It is not an unprimeable number, because it can be changed into a prime (31102515149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8781770 + ... + 8785310.

It is an arithmetic number, because the mean of its divisors is an integer number (939680203).

Almost surely, 231102515140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31102515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33828487308).

31102515140 is an abundant number, since it is smaller than the sum of its proper divisors (36554459476).

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

31102515140 is a wasteful number, since it uses less digits than its factorization.

31102515140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 31102515140 in words is "thirty-one billion, one hundred two million, five hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 457 620 914 961 1828 1922 2285 3541 3844 4570 4805 7082 9140 9610 14164 14167 17705 19220 28334 35410 56668 70820 70835 109771 141670 219542 283340 439084 439177 548855 878354 1097710 1618237 1756708 2195420 2195885 3236474 3402901 4391770 6472948 6805802 8091185 8783540 13611604 16182370 17014505 32364740 34029010 50165347 68058020 100330694 200661388 250826735 501653470 1003306940 1555125757 3110251514 6220503028 7775628785 15551257570 31102515140