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31451031051012 = 22322017433138201
BaseRepresentation
bin1110010011010110000111…
…00010001001101100000100
311010100200121102121112200100
413021223003202021230010
513110243202422113022
6150520223150244100
76424155603666516
oct711530342115404
9133320542545610
1031451031051012
11a026342113271
12363b5067b6630
131471a865a54a1
147aa3491d7bb6
153981a80951ac
hex1c9ac3889b04

31451031051012 has 36 divisors (see below), whose sum is σ = 79540633138876. Its totient is φ = 10478479334400.

The previous prime is 31451031051007. The next prime is 31451031051059. The reversal of 31451031051012 is 21015013015413.

31451031051012 is a `hidden beast` number, since 3 + 1 + 45 + 103 + 1 + 0 + 510 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17182401167556 + 14268629883456 = 4145166^2 + 3777384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×314510310510123 (a number of 41 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 216496489 + ... + 216641712.

Almost surely, 231451031051012 is an apocalyptic number.

It is an amenable number.

31451031051012 is an abundant number, since it is smaller than the sum of its proper divisors (48089602087864).

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

31451031051012 is a wasteful number, since it uses less digits than its factorization.

31451031051012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433140228 (or 433140223 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 31451031051012 its reverse (21015013015413), we get a palindrome (52466044066425).

The spelling of 31451031051012 in words is "thirty-one trillion, four hundred fifty-one billion, thirty-one million, fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2017 4034 6051 8068 12102 18153 24204 36306 72612 433138201 866276402 1299414603 1732552804 2598829206 3898243809 5197658412 7796487618 15592975236 873639751417 1747279502834 2620919254251 3494559005668 5241838508502 7862757762753 10483677017004 15725515525506 31451031051012