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31401000252 = 223231131214787
BaseRepresentation
bin11101001111101001…
…010011110100111100
310000001101112002102100
4131033221103310330
51003302124002002
622231520225100
72161101045456
oct351751236474
9100041462370
1031401000252
1112354056286
12610416b190
132c65703c2b
14173c53b2d6
15c3bb1a11c
hex74fa53d3c

31401000252 has 72 divisors (see below), whose sum is σ = 82561070592. Its totient is φ = 10051984800.

The previous prime is 31401000233. The next prime is 31401000269. The reversal of 31401000252 is 25200010413.

31401000252 is a `hidden beast` number, since 314 + 0 + 100 + 0 + 252 = 666.

It is a super-2 number, since 2×314010002522 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38803 + ... + 253589.

It is an arithmetic number, because the mean of its divisors is an integer number (1146681536).

Almost surely, 231401000252 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 31401000252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41280535296).

31401000252 is an abundant number, since it is smaller than the sum of its proper divisors (51160070340).

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

31401000252 is a wasteful number, since it uses less digits than its factorization.

31401000252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214959 (or 214954 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 31401000252 its reverse (25200010413), we get a palindrome (56601010665).

The spelling of 31401000252 in words is "thirty-one billion, four hundred one million, two hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 131 186 262 279 372 393 524 558 786 1116 1179 1572 2358 4061 4716 8122 12183 16244 24366 36549 48732 73098 146196 214787 429574 644361 859148 1288722 1933083 2577444 3866166 6658397 7732332 13316794 19975191 26633588 28137097 39950382 56274194 59925573 79900764 84411291 112548388 119851146 168822582 239702292 253233873 337645164 506467746 872250007 1012935492 1744500014 2616750021 3489000028 5233500042 7850250063 10467000084 15700500126 31401000252