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31444413300102 = 23111925075289713
BaseRepresentation
bin1110010011001001110010…
…00101011011110110000110
311010100001112020010222001210
413021210321011123312012
513110141124301100402
6150513210345032250
76423532606021215
oct711447105336606
9133301466128053
1031444413300102
11a023556610040
12363a17a485686
13147127053734a
147a9cbc34107c
15397e1c0d506c
hex1c993915bd86

31444413300102 has 32 divisors (see below), whose sum is σ = 72216834376320. Its totient is φ = 9027104296320.

The previous prime is 31444413300101. The next prime is 31444413300109. The reversal of 31444413300102 is 20100331444413.

It is a super-2 number, since 2×314444133001022 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31444413300102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444413300101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12537643603 + ... + 12537646110.

It is an arithmetic number, because the mean of its divisors is an integer number (2256776074260).

Almost surely, 231444413300102 is an apocalyptic number.

31444413300102 is an abundant number, since it is smaller than the sum of its proper divisors (40772421076218).

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

31444413300102 is a wasteful number, since it uses less digits than its factorization.

31444413300102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25075289748.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 31444413300102 its reverse (20100331444413), we get a palindrome (51544744744515).

The spelling of 31444413300102 in words is "thirty-one trillion, four hundred forty-four billion, four hundred thirteen million, three hundred thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 25075289713 50150579426 75225869139 150451738278 275828186843 476430504547 551656373686 827484560529 952861009094 1429291513641 1654969121058 2858583027282 5240735550017 10481471100034 15722206650051 31444413300102