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123110103440 = 2452774955457
BaseRepresentation
bin111001010100111101…
…1110001100110010000
3102202202202101020100202
41302221323301212100
54004112141302230
6132320032434332
711615532420242
oct1625173614620
9382682336322
10123110103440
1148235497945
121ba393a89a8
13b7bc63c06c
145d5c410092
153308047a45
hex1ca9ef1990

123110103440 has 40 divisors (see below), whose sum is σ = 286246467000. Its totient is φ = 49241378816.

The previous prime is 123110103433. The next prime is 123110103499. The reversal of 123110103440 is 44301011321.

It can be written as a sum of positive squares in 4 ways, for example, as 3855913216 + 119254190224 = 62096^2 + 345332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2192192 + ... + 2247648.

It is an arithmetic number, because the mean of its divisors is an integer number (7156161675).

Almost surely, 2123110103440 is an apocalyptic number.

123110103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123110103440 is an abundant number, since it is smaller than the sum of its proper divisors (163136363560).

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

123110103440 is a wasteful number, since it uses less digits than its factorization.

123110103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83219 (or 83213 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123110103440 its reverse (44301011321), we get a palindrome (167411114761).

The spelling of 123110103440 in words is "one hundred twenty-three billion, one hundred ten million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27749 55457 55498 110914 110996 138745 221828 221992 277285 277490 443656 443984 554570 554980 887312 1109140 1109960 2218280 2219920 4436560 1538876293 3077752586 6155505172 7694381465 12311010344 15388762930 24622020688 30777525860 61555051720 123110103440