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31300142112 = 2532237166553
BaseRepresentation
bin11101001001101000…
…100100010000100000
32222210100201222001200
4131021220210100200
51003100314021422
622213514401200
72155434550431
oct351150442040
988710658050
1031300142112
1112302129048
126096430200
132c4a84c965
14172cda5488
15c32d462ac
hex749a24420

31300142112 has 144 divisors (see below), whose sum is σ = 94189350528. Its totient is φ = 9839047680.

The previous prime is 31300142101. The next prime is 31300142113. The reversal of 31300142112 is 21124100313.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (31300142113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437028 + ... + 503580.

It is an arithmetic number, because the mean of its divisors is an integer number (654092712).

Almost surely, 231300142112 is an apocalyptic number.

31300142112 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 31300142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47094675264).

31300142112 is an abundant number, since it is smaller than the sum of its proper divisors (62889208416).

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

31300142112 is a wasteful number, since it uses less digits than its factorization.

31300142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66663 (or 66652 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31300142112 its reverse (21124100313), we get a palindrome (52424242425).

The spelling of 31300142112 in words is "thirty-one billion, three hundred million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 71 72 92 96 138 142 144 184 207 213 276 284 288 368 414 426 552 568 639 736 828 852 1104 1136 1278 1633 1656 1704 2208 2272 2556 3266 3312 3408 4899 5112 6532 6624 6816 9798 10224 13064 14697 19596 20448 26128 29394 39192 52256 58788 66553 78384 117576 133106 156768 199659 235152 266212 399318 470304 532424 598977 798636 1064848 1197954 1530719 1597272 2129696 2395908 3061438 3194544 4592157 4725263 4791816 6122876 6389088 9184314 9450526 9583632 12245752 13776471 14175789 18368628 18901052 19167264 24491504 27552942 28351578 36737256 37802104 42527367 48983008 55105884 56703156 73474512 75604208 85054734 108681049 110211768 113406312 146949024 151208416 170109468 217362098 220423536 226812624 326043147 340218936 434724196 440847072 453625248 652086294 680437872 869448392 978129441 1304172588 1360875744 1738896784 1956258882 2608345176 3477793568 3912517764 5216690352 7825035528 10433380704 15650071056 31300142112