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31201113112 = 2313191011271231
BaseRepresentation
bin11101000011101110…
…110011010000011000
32222112110101202210221
4131003232303100120
51002344441104422
622200020045424
72153123041231
oct350356632030
988473352727
1031201113112
11122612400a4
126069233874
132c33189110
14171db88088
15c292d43c7
hex743bb3418

31201113112 has 128 divisors (see below), whose sum is σ = 67556966400. Its totient is φ = 13390272000.

The previous prime is 31201113101. The next prime is 31201113179. The reversal of 31201113112 is 21131110213.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 25345537 + ... + 25346767.

It is an arithmetic number, because the mean of its divisors is an integer number (527788800).

Almost surely, 231201113112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31201113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33778483200).

31201113112 is an abundant number, since it is smaller than the sum of its proper divisors (36355853288).

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

31201113112 is a wasteful number, since it uses less digits than its factorization.

31201113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 31201113112 its reverse (21131110213), we get a palindrome (52332223325).

The spelling of 31201113112 in words is "thirty-one billion, two hundred one million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 76 101 104 127 152 202 247 254 404 494 508 808 988 1016 1231 1313 1651 1919 1976 2413 2462 2626 3302 3838 4826 4924 5252 6604 7676 9652 9848 10504 12827 13208 15352 16003 19304 23389 24947 25654 31369 32006 46778 49894 51308 62738 64012 93556 99788 102616 124331 125476 128024 156337 166751 187112 199576 243713 248662 250952 304057 312674 333502 487426 497324 608114 625348 667004 974852 994648 1216228 1250696 1334008 1616303 1949704 2032381 2362289 2432456 2970403 3168269 3232606 4064762 4724578 5940806 6336538 6465212 8129524 9449156 11881612 12673076 12930424 15790037 16259048 18898312 23763224 25346152 30709757 31580074 38615239 61419514 63160148 77230478 122839028 126320296 154460956 205270481 245678056 300010703 308921912 410540962 600021406 821081924 1200042812 1642163848 2400085624 3900139139 7800278278 15600556556 31201113112