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31240112000 = 27538592273
BaseRepresentation
bin11101000110000011…
…100100011110000000
32222122011210010020012
4131012003210132000
51002434432041000
622203532004052
72154105366506
oct350603443600
988564703205
1031240112000
1112281257589
12607a300628
132c3b292096
14172501a676
15c2c939735
hex7460e4780

31240112000 has 128 divisors (see below), whose sum is σ = 77795359200. Its totient is φ = 12476006400.

The previous prime is 31240111949. The next prime is 31240112003. The reversal of 31240112000 is 21104213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31240112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13742864 + ... + 13745136.

Almost surely, 231240112000 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 31240112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38897679600).

31240112000 is an abundant number, since it is smaller than the sum of its proper divisors (46555247200).

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

31240112000 is an equidigital number, since it uses as much as digits as its factorization.

31240112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 31240112000 its reverse (21104213), we get a palindrome (31261216213).

The spelling of 31240112000 in words is "thirty-one billion, two hundred forty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 859 1000 1600 1718 2000 2273 3200 3436 4000 4295 4546 6872 8000 8590 9092 11365 13744 16000 17180 18184 21475 22730 27488 34360 36368 42950 45460 54976 56825 68720 72736 85900 90920 107375 109952 113650 137440 145472 171800 181840 214750 227300 274880 284125 290944 343600 363680 429500 454600 549760 568250 687200 727360 859000 909200 1136500 1374400 1454720 1718000 1818400 1952507 2273000 2748800 3436000 3636800 3905014 4546000 6872000 7273600 7810028 9092000 9762535 13744000 15620056 18184000 19525070 31240112 36368000 39050140 48812675 62480224 78100280 97625350 124960448 156200560 195250700 244063375 249920896 312401120 390501400 488126750 624802240 781002800 976253500 1249604480 1562005600 1952507000 3124011200 3905014000 6248022400 7810028000 15620056000 31240112000