Search a number
-
+
31300021312 = 267683102293
BaseRepresentation
bin11101001001101000…
…000110110001000000
32222210100111211100121
4131021220012301000
51003100301140222
622213512030024
72155433535310
oct351150066100
988710454317
1031300021312
111230205630a
126096392314
132c4a809991
14172cd73440
15c32d205c7
hex749a06c40

31300021312 has 56 divisors (see below), whose sum is σ = 71088601536. Its totient is φ = 13394523648.

The previous prime is 31300021309. The next prime is 31300021327. The reversal of 31300021312 is 21312000313.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254838 + ... + 357130.

Almost surely, 231300021312 is an apocalyptic number.

31300021312 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 31300021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35544300768).

31300021312 is an abundant number, since it is smaller than the sum of its proper divisors (39788580224).

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

31300021312 is a wasteful number, since it uses less digits than its factorization.

31300021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102995 (or 102985 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31300021312 its reverse (21312000313), we get a palindrome (52612021625).

The spelling of 31300021312 in words is "thirty-one billion, three hundred million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 683 1366 2732 4781 5464 9562 10928 19124 21856 38248 43712 76496 102293 152992 204586 305984 409172 716051 818344 1432102 1636688 2864204 3273376 5728408 6546752 11456816 22913632 45827264 69866119 139732238 279464476 489062833 558928952 978125666 1117857904 1956251332 2235715808 3912502664 4471431616 7825005328 15650010656 31300021312