Search a number
-
+
100101120000021 = 3276373249318479
BaseRepresentation
bin10110110000101010011011…
…101100110000000000010101
3111010102120111011102202201200
4112300222123230300000111
5101110024043210000041
6552521453015143113
730041032033023030
oct2660523354600025
9433376434382650
10100101120000021
1129993712677928
12b288326674a99
1343b16589b979a
141aa0cc48da017
15b88cd6ee11b6
hex5b0a9bb30015

100101120000021 has 24 divisors (see below), whose sum is σ = 165272223118080. Its totient is φ = 57191664305376.

The previous prime is 100101120000017. The next prime is 100101120000053. The reversal of 100101120000021 is 120000021101001.

It is a happy number.

It is not a de Polignac number, because 100101120000021 - 22 = 100101120000017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101119999958 and 100101120000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101120004021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124257741 + ... + 125060738.

It is an arithmetic number, because the mean of its divisors is an integer number (6886342629920).

Almost surely, 2100101120000021 is an apocalyptic number.

It is an amenable number.

100101120000021 is a deficient number, since it is larger than the sum of its proper divisors (65171103118059).

100101120000021 is a wasteful number, since it uses less digits than its factorization.

100101120000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249324865 (or 249324862 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101120000021 its reverse (120000021101001), we get a palindrome (220101141101022).

The spelling of 100101120000021 in words is "one hundred trillion, one hundred one billion, one hundred twenty million, twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 6373 19119 44611 57357 133833 401499 249318479 747955437 1745229353 2243866311 5235688059 15707064177 1588906666667 4766720000001 11122346666669 14300160000003 33367040000007 100101120000021