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31332230112 = 2532946124413
BaseRepresentation
bin11101001011100010…
…111110001111100000
32222212121010012112010
4131023202332033200
51003132022330422
622221022232520
72156304363441
oct351342761740
988777105463
1031332230112
1112319255257
1260a5125740
132c543a6141
1417333592c8
15c35a83b0c
hex74b8be3e0

31332230112 has 96 divisors (see below), whose sum is σ = 85271266080. Its totient is φ = 10061649920.

The previous prime is 31332230107. The next prime is 31332230123. The reversal of 31332230112 is 21103223313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1271218 + ... + 1295630.

It is an arithmetic number, because the mean of its divisors is an integer number (888242355).

Almost surely, 231332230112 is an apocalyptic number.

31332230112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31332230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42635633040).

31332230112 is an abundant number, since it is smaller than the sum of its proper divisors (53939035968).

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

31332230112 is a wasteful number, since it uses less digits than its factorization.

31332230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24916 (or 24908 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31332230112 its reverse (21103223313), we get a palindrome (52435453425).

The spelling of 31332230112 in words is "thirty-one billion, three hundred thirty-two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 461 464 696 922 928 1383 1392 1844 2766 2784 3688 5532 7376 11064 13369 14752 22128 24413 26738 40107 44256 48826 53476 73239 80214 97652 106952 146478 160428 195304 213904 292956 320856 390608 427808 585912 641712 707977 781216 1171824 1283424 1415954 2123931 2343648 2831908 4247862 5663816 8495724 11254393 11327632 16991448 22508786 22655264 33763179 33982896 45017572 67526358 67965792 90035144 135052716 180070288 270105432 326377397 360140576 540210864 652754794 979132191 1080421728 1305509588 1958264382 2611019176 3916528764 5222038352 7833057528 10444076704 15666115056 31332230112