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100220022120010 = 2513977947662341
BaseRepresentation
bin10110110010011001001010…
…110100010101111001001010
3111010211221101122202021222111
4112302121022310111321022
5101114001101130320020
6553052235332212534
730052441401252052
oct2662311264257112
9433757348667874
10100220022120010
1129a2a0888354a1
12b2a738a76a14a
1343bc9275b60c0
141aa69640d6562
15b8be458cdd5a
hex5b264ad15e4a

100220022120010 has 32 divisors (see below), whose sum is σ = 196275469198032. Its totient is φ = 36622828062720.

The previous prime is 100220022119999. The next prime is 100220022120013. The reversal of 100220022120010 is 10021220022001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7958983241889 + 92261038878121 = 2821167^2 + 9605261^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100220022120013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3973818561 + ... + 3973843780.

Almost surely, 2100220022120010 is an apocalyptic number.

100220022120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100220022120010 is a deficient number, since it is larger than the sum of its proper divisors (96055447078022).

100220022120010 is a wasteful number, since it uses less digits than its factorization.

100220022120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947662458.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100220022120010 its reverse (10021220022001), we get a palindrome (110241242142011).

The spelling of 100220022120010 in words is "one hundred trillion, two hundred twenty billion, twenty-two million, one hundred twenty thousand, ten".

Divisors: 1 2 5 10 13 26 65 97 130 194 485 970 1261 2522 6305 12610 7947662341 15895324682 39738311705 79476623410 103319610433 206639220866 516598052165 770923247077 1033196104330 1541846494154 3854616235385 7709232470770 10022002212001 20044004424002 50110011060005 100220022120010