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31124214020 = 225131115110321
BaseRepresentation
bin11100111111001001…
…011101000100000100
32222100002200220002102
4130333021131010010
51002220244322040
622144231531232
72151200311514
oct347711350404
988302626072
1031124214020
1112221897729
126047529b18
132c202732b3
14171388b844
15c22694515
hex73f25d104

31124214020 has 48 divisors (see below), whose sum is σ = 65923393536. Its totient is φ = 12342720000.

The previous prime is 31124214007. The next prime is 31124214041. The reversal of 31124214020 is 2041242113.

It is a super-3 number, since 3×311242140203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31124213983 and 31124214001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3010460 + ... + 3020780.

It is an arithmetic number, because the mean of its divisors is an integer number (1373404032).

Almost surely, 231124214020 is an apocalyptic number.

It is an amenable number.

31124214020 is an abundant number, since it is smaller than the sum of its proper divisors (34799179516).

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

31124214020 is a wasteful number, since it uses less digits than its factorization.

31124214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11612 (or 11610 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31124214020 its reverse (2041242113), we get a palindrome (33165456133).

The spelling of 31124214020 in words is "thirty-one billion, one hundred twenty-four million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1151 1310 2302 2620 4604 5755 10321 11510 20642 23020 41284 51605 103210 150781 206420 301562 603124 753905 1352051 1507810 2704102 3015620 5408204 6760255 11879471 13520510 23758942 27041020 47517884 59397355 118794710 237589420 1556210701 3112421402 6224842804 7781053505 15562107010 31124214020