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10111110000100 = 2252101111100001
BaseRepresentation
bin1001001100100010110100…
…0111101010110111100100
31022210121112122022002002021
42103020231013222313210
52311130023130000400
633300551345552524
72062334505640534
oct223105507526744
938717478262067
1010111110000100
113249108aa968a
121173726345744
135846205c7a05
1426d5478d54c4
1512802e6e971a
hex9322d1eade4

10111110000100 has 18 divisors (see below), whose sum is σ = 21941108700434. Its totient is φ = 4044444000000.

The previous prime is 10111110000097. The next prime is 10111110000133. The reversal of 10111110000100 is 100001111101.

It is a happy number.

10111110000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 599165787364 + 9511944212736 = 774058^2 + 3084144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50555549901 + ... + 50555550100.

Almost surely, 210111110000100 is an apocalyptic number.

10111110000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111110000100 is an abundant number, since it is smaller than the sum of its proper divisors (11829998700334).

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

10111110000100 is a wasteful number, since it uses less digits than its factorization.

10111110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101111100015 (or 101111100008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10111110000100 its reverse (100001111101), we get a palindrome (10211111111201).

The spelling of 10111110000100 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 101111100001 202222200002 404444400004 505555500005 1011111000010 2022222000020 2527777500025 5055555000050 10111110000100