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131223013120 = 285601170579
BaseRepresentation
bin111101000110110000…
…0000100011100000000
3110112201011020202020001
41322031200010130000
54122221042404440
6140141044325344
712323554131163
oct1721540043400
9415634222201
10131223013120
1150718a73a81
12215223a3854
13c4b3395a34
1464cbaa9ada
1536303e7b9a
hex1e8d804700

131223013120 has 72 divisors (see below), whose sum is σ = 314844964560. Its totient is φ = 52401561600.

The previous prime is 131223013111. The next prime is 131223013147. The reversal of 131223013120 is 21310322131.

It is a congruent number.

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, 683991 + ... + 854569.

It is an arithmetic number, because the mean of its divisors is an integer number (4372846730).

Almost surely, 2131223013120 is an apocalyptic number.

131223013120 is a gapful number since it is divisible by the number (10) 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 131223013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157422482280).

131223013120 is an abundant number, since it is smaller than the sum of its proper divisors (183621951440).

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

131223013120 is an equidigital number, since it uses as much as digits as its factorization.

131223013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171201 (or 171187 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131223013120 its reverse (21310322131), we get a palindrome (152533335251).

The spelling of 131223013120 in words is "one hundred thirty-one billion, two hundred twenty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 601 640 1202 1280 2404 3005 4808 6010 9616 12020 19232 24040 38464 48080 76928 96160 153856 170579 192320 341158 384640 682316 769280 852895 1364632 1705790 2729264 3411580 5458528 6823160 10917056 13646320 21834112 27292640 43668224 54585280 102517979 109170560 205035958 218341120 410071916 512589895 820143832 1025179790 1640287664 2050359580 3280575328 4100719160 6561150656 8201438320 13122301312 16402876640 26244602624 32805753280 65611506560 131223013120