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11312401102240 = 255710100358127
BaseRepresentation
bin1010010010011101111110…
…1001100011010110100000
31111001110021200102222020111
42210213133221203112200
52440320244140232430
640020502331221104
72245202562555010
oct244473751432640
944043250388214
1011312401102240
113671620565937
1213285042a7794
136409a7523684
142b17476a5c40
151493dc918c2a
hexa49dfa635a0

11312401102240 has 48 divisors (see below), whose sum is σ = 30543482979072. Its totient is φ = 3878537520384.

The previous prime is 11312401102237. The next prime is 11312401102271. The reversal of 11312401102240 is 4220110421311.

11312401102240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5050177944 + ... + 5050180183.

It is an arithmetic number, because the mean of its divisors is an integer number (636322562064).

Almost surely, 211312401102240 is an apocalyptic number.

11312401102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312401102240 is an abundant number, since it is smaller than the sum of its proper divisors (19231081876832).

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

11312401102240 is a wasteful number, since it uses less digits than its factorization.

11312401102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100358149 (or 10100358141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 11312401102240 its reverse (4220110421311), we get a palindrome (15532511523551).

The spelling of 11312401102240 in words is "eleven trillion, three hundred twelve billion, four hundred one million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10100358127 20200716254 40401432508 50501790635 70702506889 80802865016 101003581270 141405013778 161605730032 202007162540 282810027556 323211460064 353512534445 404014325080 565620055112 707025068890 808028650160 1131240110224 1414050137780 1616057300320 2262480220448 2828100275560 5656200551120 11312401102240