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131213014224 = 24316716368889
BaseRepresentation
bin111101000110011100…
…1111011010011010000
3110112200110102202022120
41322030321323103100
54122211012423344
6140140050134240
712323403134655
oct1721471732320
9415613382276
10131213014224
1150713364726
122151ab81380
13c4b12a4826
1464ca625c2c
15362e5c0219
hex1e8ce7b4d0

131213014224 has 40 divisors (see below), whose sum is σ = 340996716480. Its totient is φ = 43475766528.

The previous prime is 131213014193. The next prime is 131213014279. The reversal of 131213014224 is 422410312131.

131213014224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131213014194 and 131213014203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8176429 + ... + 8192460.

It is an arithmetic number, because the mean of its divisors is an integer number (8524917912).

Almost surely, 2131213014224 is an apocalyptic number.

It is an amenable number.

131213014224 is an abundant number, since it is smaller than the sum of its proper divisors (209783702256).

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

131213014224 is a wasteful number, since it uses less digits than its factorization.

131213014224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16369067 (or 16369061 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131213014224 its reverse (422410312131), we get a palindrome (553623326355).

The spelling of 131213014224 in words is "one hundred thirty-one billion, two hundred thirteen million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 2004 2672 4008 8016 16368889 32737778 49106667 65475556 98213334 130951112 196426668 261902224 392853336 785706672 2733604463 5467208926 8200813389 10934417852 16401626778 21868835704 32803253556 43737671408 65606507112 131213014224