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31223143120401 = 35499257495593
BaseRepresentation
bin1110001100101101101000…
…10110101011111000010001
311002112220101112021012100000
413012112310112223320101
513043024444114323101
6150223414113120213
76401540410356411
oct706266426537021
9132486345235300
1031223143120401
119a4872a340031
123603307559069
13145643964682b
1479d2cb3ba641
153922bb645486
hex1c65b45abe11

31223143120401 has 24 divisors (see below), whose sum is σ = 46864198108000. Its totient is φ = 20773714380192.

The previous prime is 31223143120399. The next prime is 31223143120439. The reversal of 31223143120401 is 10402134132213.

31223143120401 is a `hidden beast` number, since 3 + 1 + 2 + 23 + 1 + 431 + 204 + 0 + 1 = 666.

It is not a de Polignac number, because 31223143120401 - 21 = 31223143120399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31223143120471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128626540 + ... + 128869053.

Almost surely, 231223143120401 is an apocalyptic number.

It is an amenable number.

31223143120401 is a deficient number, since it is larger than the sum of its proper divisors (15641054987599).

31223143120401 is an equidigital number, since it uses as much as digits as its factorization.

31223143120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257496107 (or 257496095 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31223143120401 its reverse (10402134132213), we get a palindrome (41625277252614).

The spelling of 31223143120401 in words is "thirty-one trillion, two hundred twenty-three billion, one hundred forty-three million, one hundred twenty thousand, four hundred one".

Divisors: 1 3 9 27 81 243 499 1497 4491 13473 40419 121257 257495593 772486779 2317460337 6952381011 20857143033 62571429099 128490300907 385470902721 1156412708163 3469238124489 10407714373467 31223143120401