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102023780157918 = 23211149435083657
BaseRepresentation
bin10111001100101001000011…
…001011001100100111011110
3111101020101012122201120022100
4113030221003023030213132
5101333024200210023133
61000553024431025530
730326655244512633
oct2714510313144736
9441211178646270
10102023780157918
112a565051165633
12b538a8566b2a6
1344c0a55292a78
141b29d97a3218a
15bbdd15314e13
hex5cca432cc9de

102023780157918 has 24 divisors (see below), whose sum is σ = 221051765420928. Its totient is φ = 34007889527712.

The previous prime is 102023780157917. The next prime is 102023780157979. The reversal of 102023780157918 is 819751087320201.

102023780157918 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 37 + 8 + 0 + 1 + 579 + 18 = 666.

It is a super-2 number, since 2×1020237801579182 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102023780157917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17527146 + ... + 22610802.

It is an arithmetic number, because the mean of its divisors is an integer number (9210490225872).

Almost surely, 2102023780157918 is an apocalyptic number.

102023780157918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102023780157918 is an abundant number, since it is smaller than the sum of its proper divisors (119027985263010).

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

102023780157918 is a wasteful number, since it uses less digits than its factorization.

102023780157918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198608 (or 6198605 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 102023780157918 in words is "one hundred two trillion, twenty-three billion, seven hundred eighty million, one hundred fifty-seven thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 1114943 2229886 3344829 5083657 6689658 10034487 10167314 15250971 20068974 30501942 45752913 91505826 5667987786551 11335975573102 17003963359653 34007926719306 51011890078959 102023780157918