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31031130102 = 2377314936779
BaseRepresentation
bin11100111001100110…
…010111011111110110
32222002121112201221220
4130321212113133312
51002022432130402
622131104451210
72145660153030
oct347146273766
988077481856
1031031130102
111218429a375
126020319b06
132c06bb175b
14170537ac50
15c19408dbc
hex7399977f6

31031130102 has 64 divisors (see below), whose sum is σ = 71958689280. Its totient is φ = 8737438464.

The previous prime is 31031130083. The next prime is 31031130121. The reversal of 31031130102 is 20103113013.

It is an interprime number because it is at equal distance from previous prime (31031130083) and next prime (31031130121).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4574149 + ... + 4580927.

It is an arithmetic number, because the mean of its divisors is an integer number (1124354520).

Almost surely, 231031130102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31031130102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35979344640).

31031130102 is an abundant number, since it is smaller than the sum of its proper divisors (40927559178).

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

31031130102 is a wasteful number, since it uses less digits than its factorization.

31031130102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31031130102 its reverse (20103113013), we get a palindrome (51134243115).

The spelling of 31031130102 in words is "thirty-one billion, thirty-one million, one hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1493 1533 2986 3066 4479 6779 8958 10451 13558 20337 20902 31353 40674 47453 62706 94906 108989 142359 217978 284718 326967 494867 653934 762923 989734 1484601 1525846 2288769 2969202 3464069 4577538 6928138 10121047 10392207 20242094 20784414 30363141 60726282 70847329 141694658 212541987 425083974 738836431 1477672862 2216509293 4433018586 5171855017 10343710034 15515565051 31031130102