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101110010100100 = 22521049963870449
BaseRepresentation
bin10110111111010110000010…
…001111000011100110000100
3111021000000121110011001212121
4112333112002033003212010
5101223041300041200400
6555013144123255324
730203646210256141
oct2677260217034604
9437000543131777
10101110010100100
112a242572850571
12b40b96997a544
13445582ca36971
141ad7a7190b3c8
15ba5183e7621a
hex5bf5823c3984

101110010100100 has 36 divisors (see below), whose sum is σ = 219617882032500. Its totient is φ = 40405449180160.

The previous prime is 101110010100083. The next prime is 101110010100119. The reversal of 101110010100100 is 1001010011101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2718172121344 + 98391837978756 = 1648688^2 + 9919266^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 481830325 + ... + 482040124.

It is an arithmetic number, because the mean of its divisors is an integer number (6100496723125).

Almost surely, 2101110010100100 is an apocalyptic number.

101110010100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110010100100 is an abundant number, since it is smaller than the sum of its proper divisors (118507871932400).

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

101110010100100 is a wasteful number, since it uses less digits than its factorization.

101110010100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963871512 (or 963871505 counting only the distinct ones).

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

Adding to 101110010100100 its reverse (1001010011101), we get a palindrome (102111020111201).

The spelling of 101110010100100 in words is "one hundred one trillion, one hundred ten billion, ten million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1049 2098 4196 5245 10490 20980 26225 52450 104900 963870449 1927740898 3855481796 4819352245 9638704490 19277408980 24096761225 48193522450 96387044900 1011100101001 2022200202002 4044400404004 5055500505005 10111001010010 20222002020020 25277502525025 50555005050050 101110010100100