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123015355204240 = 2451537691940053
BaseRepresentation
bin11011111110000110111110…
…100011001000001010010000
3121010120011010121120111200201
4123332012332203020022100
5112110440421413013430
61113344250215424544
734624365115421452
oct3376067643101220
9533504117514621
10123015355204240
1136218579011124
1211969249685154
1353843b5261835
142253d914102d2
15e34da1e748ca
hex6fe1be8c8290

123015355204240 has 20 divisors (see below), whose sum is σ = 286010700850044. Its totient is φ = 49206142081664.

The previous prime is 123015355204229. The next prime is 123015355204241. The reversal of 123015355204240 is 42402553510321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80606710559376 + 42408644644864 = 8978124^2 + 6512192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1230153552042402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123015355204240.

It is not an unprimeable number, because it can be changed into a prime (123015355204241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 768845969947 + ... + 768845970106.

Almost surely, 2123015355204240 is an apocalyptic number.

123015355204240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123015355204240 is an abundant number, since it is smaller than the sum of its proper divisors (162995345645804).

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

123015355204240 is a wasteful number, since it uses less digits than its factorization.

123015355204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537691940066 (or 1537691940060 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 123015355204240 in words is "one hundred twenty-three trillion, fifteen billion, three hundred fifty-five million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1537691940053 3075383880106 6150767760212 7688459700265 12301535520424 15376919400530 24603071040848 30753838801060 61507677602120 123015355204240