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11312401120 = 255174158971
BaseRepresentation
bin10101000100100010…
…11000101011100000
31002012101021112000021
422202101120223200
5141131433313440
65110304003224
7550221552166
oct124221305340
932171245007
1011312401120
114885612439
122238600514
1310b3877b97
14794591236
154631ec84a
hex2a2458ae0

11312401120 has 48 divisors (see below), whose sum is σ = 28297645488. Its totient is φ = 4258785280.

The previous prime is 11312401109. The next prime is 11312401147. The reversal of 11312401120 is 2110421311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11312401094 and 11312401103.

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, 2076766 + ... + 2082205.

It is an arithmetic number, because the mean of its divisors is an integer number (589534281).

Almost surely, 211312401120 is an apocalyptic number.

11312401120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312401120 is an abundant number, since it is smaller than the sum of its proper divisors (16985244368).

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

11312401120 is a wasteful number, since it uses less digits than its factorization.

11312401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159003 (or 4158995 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11312401120 its reverse (2110421311), we get a palindrome (13422822431).

The spelling of 11312401120 in words is "eleven billion, three hundred twelve million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 4158971 8317942 16635884 20794855 33271768 41589710 66543536 70702507 83179420 133087072 141405014 166358840 282810028 332717680 353512535 565620056 665435360 707025070 1131240112 1414050140 2262480224 2828100280 5656200560 11312401120