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105319236078 = 2327835866953
BaseRepresentation
bin110001000010110000…
…1000000000111101110
3101001211212201112101100
41202011201000013232
53211143211023303
6120214420423530
710415623510260
oct1420541000756
9331755645340
10105319236078
1140735a65981
12184b3247ba6
139c15842904
1451516a1b30
152b161ee8a3
hex18858401ee

105319236078 has 24 divisors (see below), whose sum is σ = 260790489648. Its totient is φ = 30091210272.

The previous prime is 105319236019. The next prime is 105319236119. The reversal of 105319236078 is 870632913501.

105319236078 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 19 + 23 + 607 + 8 = 666.

It is a super-2 number, since 2×1053192360782 (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 11 ways as a sum of consecutive naturals, for example, 417933351 + ... + 417933602.

It is an arithmetic number, because the mean of its divisors is an integer number (10866270402).

Almost surely, 2105319236078 is an apocalyptic number.

105319236078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105319236078 is an abundant number, since it is smaller than the sum of its proper divisors (155471253570).

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

105319236078 is a wasteful number, since it uses less digits than its factorization.

105319236078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835866968 (or 835866965 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 105319236078 in words is "one hundred five billion, three hundred nineteen million, two hundred thirty-six thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 835866953 1671733906 2507600859 5015201718 5851068671 7522802577 11702137342 15045605154 17553206013 35106412026 52659618039 105319236078