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123417300372 = 223194639071289
BaseRepresentation
bin111001011110000111…
…1101000110110010100
3102210120011102110022220
41302330033220312110
54010224312102442
6132410325022340
711626252513152
oct1627417506624
9383504373286
10123417300372
1148382937503
121bb042549b0
13b83b1898b2
145d8b1383d2
153324ec8eec
hex1cbc3e8d94

123417300372 has 96 divisors (see below), whose sum is σ = 304355788800. Its totient is φ = 38816692992.

The previous prime is 123417300367. The next prime is 123417300389. The reversal of 123417300372 is 273003714321.

123417300372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1234173003722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95745904 + ... + 95747192.

It is an arithmetic number, because the mean of its divisors is an integer number (3170372800).

Almost surely, 2123417300372 is an apocalyptic number.

123417300372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123417300372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152177894400).

123417300372 is an abundant number, since it is smaller than the sum of its proper divisors (180938488428).

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

123417300372 is a wasteful number, since it uses less digits than its factorization.

123417300372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 123417300372 in words is "one hundred twenty-three billion, four hundred seventeen million, three hundred thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 463 907 926 1289 1389 1814 1852 2578 2721 2778 3628 3867 5156 5442 5556 7734 8797 10884 15468 17233 17594 24491 26391 34466 35188 48982 51699 52782 68932 73473 97964 103398 105564 146946 206796 293892 419941 596807 839882 1169123 1193614 1259823 1679764 1790421 2338246 2387228 2519646 3507369 3580842 4676492 5039292 7014738 7161684 7978879 11339333 14029476 15957758 22213337 22678666 23936637 31915516 34017999 44426674 45357332 47873274 66640011 68035998 88853348 95746548 133280022 136071996 266560044 541303949 1082607898 1623911847 2165215796 3247823694 6495647388 10284775031 20569550062 30854325093 41139100124 61708650186 123417300372