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101986111904 = 254177733317
BaseRepresentation
bin101111011111011011…
…0001001000110100000
3100202020120212021120212
41132332312021012200
53132331421040104
6114503552153252
710240211435135
oct1367666110640
9322216767525
10101986111904
113a2855573a6
1217922b38828
1398041335a1
144d16b4258c
1529bd7a736e
hex17bed891a0

101986111904 has 24 divisors (see below), whose sum is σ = 205682359428. Its totient is φ = 49749322240.

The previous prime is 101986111883. The next prime is 101986111907. The reversal of 101986111904 is 409111689101.

It can be written as a sum of positive squares in 2 ways, for example, as 72656124304 + 29329987600 = 269548^2 + 171260^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (101986111907) 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 3 ways as a sum of consecutive naturals, for example, 38865347 + ... + 38867970.

Almost surely, 2101986111904 is an apocalyptic number.

It is an amenable number.

101986111904 is an abundant number, since it is smaller than the sum of its proper divisors (103696247524).

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

101986111904 is an equidigital number, since it uses as much as digits as its factorization.

101986111904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77733368 (or 77733360 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 41.

The spelling of 101986111904 in words is "one hundred one billion, nine hundred eighty-six million, one hundred eleven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 77733317 155466634 310933268 621866536 1243733072 2487466144 3187065997 6374131994 12748263988 25496527976 50993055952 101986111904