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101111110099968 = 2103193251679433
BaseRepresentation
bin10110111111010111000011…
…110011001110010000000000
3111021000010110002222212000110
4112333113003303032100000
5101223101023141144333
6555013445220151320
730204015365151633
oct2677270363162000
9437003402885013
10101111110099968
112a242a87765771
12b410016238540
1344559768b7567
141ad7b37a49c1a
15ba51ea80c063
hex5bf5c3cce400

101111110099968 has 176 divisors, whose sum is σ = 271973994981696. Its totient is φ = 33395441664000.

The previous prime is 101111110099913. The next prime is 101111110099969. The reversal of 101111110099968 is 869990011111101.

It is a super-3 number, since 3×1011111100999683 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (101111110099969) 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 15 ways as a sum of consecutive naturals, for example, 148477180 + ... + 149156612.

Almost surely, 2101111110099968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111110099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135986997490848).

101111110099968 is an abundant number, since it is smaller than the sum of its proper divisors (170862884881728).

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

101111110099968 is a wasteful number, since it uses less digits than its factorization.

101111110099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679900 (or 679882 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 48.

The spelling of 101111110099968 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, ninety-nine thousand, nine hundred sixty-eight".