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101110100000000 = 285871341271
BaseRepresentation
bin10110111111010110000111…
…100101111111110100000000
3111021000000211201022110100112
4112333112013211333310000
5101223041441100000000
6555013201054210452
730203651351354030
oct2677260745776400
9437000751273315
10101110100000000
112a242609573703
12b40b993ab3a28
134455845552180
141ad7a7d82d8c0
15ba518bcd3235
hex5bf58797fd00

101110100000000 has 1296 divisors, whose sum is σ = 319247086545408. Its totient is φ = 31104000000000.

The previous prime is 101110099999999. The next prime is 101110100000081. The reversal of 101110100000000 is 1011101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a self number, because there is not a number n which added to its sum of digits gives 101110100000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 373099999865 + ... + 373100000135.

Almost surely, 2101110100000000 is an apocalyptic number.

101110100000000 is a gapful number since it is divisible by the number (10) 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 101110100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159623543272704).

101110100000000 is an abundant number, since it is smaller than the sum of its proper divisors (218136986545408).

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

101110100000000 is an frugal number, since it uses more digits than its factorization.

101110100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101110100000000 its reverse (1011101), we get a palindrome (101110101011101).

101110100000000 divided by its reverse (1011101) gives a 8-th power (100000000 = 108).

The spelling of 101110100000000 in words is "one hundred one trillion, one hundred ten billion, one hundred million", and thus it is an aban number.