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101100010100 = 22521011000101
BaseRepresentation
bin101111000101000000…
…1111011101001110100
3100122221211111122102112
41132022001323221310
53124023100310400
6114240020030152
710206231623015
oct1361201735164
9318854448375
10101100010100
1139970357a61
1217716232358
1396c2694bab
144c711a300c
15296aac3835
hex178a07ba74

101100010100 has 18 divisors (see below), whose sum is σ = 219387022134. Its totient is φ = 40440004000.

The previous prime is 101100010079. The next prime is 101100010103. The reversal of 101100010100 is 1010001101.

It can be written as a sum of positive squares in 3 ways, for example, as 175615504 + 100924394596 = 13252^2 + 317686^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505499951 + ... + 505500150.

Almost surely, 2101100010100 is an apocalyptic number.

101100010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100010100 is an abundant number, since it is smaller than the sum of its proper divisors (118287012034).

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

101100010100 is a wasteful number, since it uses less digits than its factorization.

101100010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011000115 (or 1011000108 counting only the distinct ones).

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

Adding to 101100010100 its reverse (1010001101), we get a palindrome (102110011201).

The spelling of 101100010100 in words is "one hundred one billion, one hundred million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1011000101 2022000202 4044000404 5055000505 10110001010 20220002020 25275002525 50550005050 101100010100