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31112202202016 = 2513682910951669
BaseRepresentation
bin1110001001011110111111…
…10000101010101110100000
311002011022000212100121120212
413010233133300222232200
513034220242230431031
6150100425352153252
76360532242205565
oct704573760525640
9132138025317525
1031112202202016
119a0567a060021
1235a5905698828
131448b392276b0
14797ba526886c
1538e476b3c12b
hex1c4bdfc2aba0

31112202202016 has 48 divisors (see below), whose sum is σ = 65973517180200. Its totient is φ = 14357373907968.

The previous prime is 31112202201953. The next prime is 31112202202019. The reversal of 31112202202016 is 61020220221113.

It can be written as a sum of positive squares in 4 ways, for example, as 14830170192016 + 16282032010000 = 3850996^2 + 4035100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31112202201982 and 31112202202000.

It is not an unprimeable number, because it can be changed into a prime (31112202202019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2634971 + ... + 8316698.

Almost surely, 231112202202016 is an apocalyptic number.

It is an amenable number.

31112202202016 is an abundant number, since it is smaller than the sum of its proper divisors (34861314978184).

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

31112202202016 is a wasteful number, since it uses less digits than its factorization.

31112202202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10958521 (or 10958513 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 31112202202016 its reverse (61020220221113), we get a palindrome (92132422423129).

The spelling of 31112202202016 in words is "thirty-one trillion, one hundred twelve billion, two hundred two million, two hundred two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 6829 13658 27316 54632 88777 109264 177554 218528 355108 710216 1420432 2840864 10951669 21903338 43806676 87613352 142371697 175226704 284743394 350453408 569486788 1138973576 2277947152 4555894304 74788947601 149577895202 299155790404 598311580808 972256318813 1196623161616 1944512637626 2393246323232 3889025275252 7778050550504 15556101101008 31112202202016