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101000011110100 = 22521010000111101
BaseRepresentation
bin10110111101101111100101…
…110010001101011011010100
3111020121111200102122101221221
4112331233211302031123110
5101214241010321010400
6554450433051220124
730163003300263244
oct2675574562153324
9436544612571857
10101000011110100
112a1aa956230273
12b3b258b447644
13444834c8016bb
141ad25d890bb24
15ba2396eccc1a
hex5bdbe5c8d6d4

101000011110100 has 18 divisors (see below), whose sum is σ = 219170024109134. Its totient is φ = 40400004444000.

The previous prime is 101000011110073. The next prime is 101000011110139. The reversal of 101000011110100 is 1011110000101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 147280947984 + 100852730162116 = 383772^2 + 10042546^2 .

It is a congruent number.

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, 505000055451 + ... + 505000055650.

Almost surely, 2101000011110100 is an apocalyptic number.

101000011110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000011110100 is an abundant number, since it is smaller than the sum of its proper divisors (118170012999034).

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

101000011110100 is a wasteful number, since it uses less digits than its factorization.

101000011110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010000111115 (or 1010000111108 counting only the distinct ones).

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

Adding to 101000011110100 its reverse (1011110000101), we get a palindrome (102011121110201).

The spelling of 101000011110100 in words is "one hundred one trillion, eleven million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1010000111101 2020000222202 4040000444404 5050000555505 10100001111010 20200002222020 25250002777525 50500005555050 101000011110100