Search a number
-
+
100107016202100 = 22352333690054007
BaseRepresentation
bin10110110000101111111011…
…001000111110011101110100
3111010110010201002011212102110
4112300233323020332131310
5101110123132121431400
6552524310043211020
730041331116640405
oct2660577310763564
9433403632155373
10100107016202100
1129996168952806
12b2894b1216a70
1343b208841215b
141aa12c3a099ac
15b8902e973e50
hex5b0bfb23e774

100107016202100 has 36 divisors (see below), whose sum is σ = 289642966878944. Its totient is φ = 26695204320480.

The previous prime is 100107016202029. The next prime is 100107016202101. The reversal of 100107016202100 is 1202610701001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100107016202101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166845026704 + ... + 166845027303.

Almost surely, 2100107016202100 is an apocalyptic number.

100107016202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100107016202100 is an abundant number, since it is smaller than the sum of its proper divisors (189535950676844).

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

100107016202100 is a wasteful number, since it uses less digits than its factorization.

100107016202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333690054024 (or 333690054017 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 100107016202100 its reverse (1202610701001), we get a palindrome (101309626903101).

The spelling of 100107016202100 in words is "one hundred trillion, one hundred seven billion, sixteen million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 333690054007 667380108014 1001070162021 1334760216028 1668450270035 2002140324042 3336900540070 4004280648084 5005350810105 6673801080140 8342251350175 10010701620210 16684502700350 20021403240420 25026754050525 33369005400700 50053508101050 100107016202100