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2013131131110 = 2325119091223679
BaseRepresentation
bin11101010010110111111…
…101110100100011100110
321010110020120101102111100
4131102313331310203212
5230440343032143420
64140453014420530
7265305160164111
oct35226775644346
97113216342440
102013131131110
1170684504aa60
122861a9661746
13117ab6b59638
146d6167d1578
1537575bd3190
hex1d4b7f748e6

2013131131110 has 96 divisors (see below), whose sum is σ = 5710625556480. Its totient is φ = 487975924800.

The previous prime is 2013131131073. The next prime is 2013131131127. The reversal of 2013131131110 is 111311313102.

2013131131110 is a `hidden beast` number, since 2 + 0 + 1 + 31 + 311 + 311 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8888251 + ... + 9111929.

It is an arithmetic number, because the mean of its divisors is an integer number (59485682880).

Almost surely, 22013131131110 is an apocalyptic number.

2013131131110 is an abundant number, since it is smaller than the sum of its proper divisors (3697494425370).

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

2013131131110 is a wasteful number, since it uses less digits than its factorization.

2013131131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232794 (or 232791 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 2013131131110 its reverse (111311313102), we get a palindrome (2124442444212).

The spelling of 2013131131110 in words is "two trillion, thirteen billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 9091 18182 27273 45455 54546 81819 90910 100001 136365 163638 200002 223679 272730 300003 409095 447358 500005 600006 671037 818190 900009 1000010 1118395 1342074 1500015 1800018 2013111 2236790 2460469 3000030 3355185 4026222 4500045 4920938 6710370 7381407 9000090 10065555 12302345 14762814 20131110 22144221 24604690 36907035 44288442 73814070 110721105 221442210 2033465789 4066931578 6100397367 10167328945 12200794734 18301192101 20334657890 22368123679 30501986835 36602384202 44736247358 61003973670 67104371037 91505960505 111840618395 134208742074 183011921010 201313113111 223681236790 335521855185 402626226222 671043710370 1006565565555 2013131131110