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123103710072 = 23327244253393
BaseRepresentation
bin111001010100110001…
…1011000101101111000
3102202202022100102022100
41302221203120231320
54004104022210242
6132315243423400
711615424161550
oct1625143305570
9382668312270
10123103710072
1148231920472
121ba37224b60
13b7bb210cc5
145d5b628160
1533076d354c
hex1ca98d8b78

123103710072 has 48 divisors (see below), whose sum is σ = 381035294640. Its totient is φ = 35172488448.

The previous prime is 123103710071. The next prime is 123103710073. The reversal of 123103710072 is 270017301321.

It is an interprime number because it is at equal distance from previous prime (123103710071) and next prime (123103710073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123103710071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 122126193 + ... + 122127200.

It is an arithmetic number, because the mean of its divisors is an integer number (7938235305).

Almost surely, 2123103710072 is an apocalyptic number.

123103710072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123103710072 is an abundant number, since it is smaller than the sum of its proper divisors (257931584568).

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

123103710072 is a wasteful number, since it uses less digits than its factorization.

123103710072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244253412 (or 244253405 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 123103710072 in words is "one hundred twenty-three billion, one hundred three million, seven hundred ten thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 244253393 488506786 732760179 977013572 1465520358 1709773751 1954027144 2198280537 2931040716 3419547502 4396561074 5129321253 5862081432 6839095004 8793122148 10258642506 13678190008 15387963759 17586244296 20517285012 30775927518 41034570024 61551855036 123103710072