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100120220200011 = 31131101969002257
BaseRepresentation
bin10110110000111100001110…
…001010001110110001001011
3111010111101210021211110102010
4112300330032022032301023
5101110332202332400021
6552534332202511003
730042306251033214
oct2660741612166113
9433441707743363
10100120220200011
11299a08241a0880
12b28bb77205463
1343b33b0b3aa7b
141aa1bb74b840b
15b89553c6e976
hex5b0f0e28ec4b

100120220200011 has 32 divisors (see below), whose sum is σ = 151815521765376. Its totient is φ = 58140135360000.

The previous prime is 100120220199983. The next prime is 100120220200027. The reversal of 100120220200011 is 110002022021001.

It is not a de Polignac number, because 100120220200011 - 225 = 100120186645579 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100120220200011.

It is not an unprimeable number, because it can be changed into a prime (100120220200051) 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 31 ways as a sum of consecutive naturals, for example, 484397806 + ... + 484604451.

It is an arithmetic number, because the mean of its divisors is an integer number (4744235055168).

Almost surely, 2100120220200011 is an apocalyptic number.

100120220200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100120220200011 is a deficient number, since it is larger than the sum of its proper divisors (51695301565365).

100120220200011 is a wasteful number, since it uses less digits than its factorization.

100120220200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969002403.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120220200011 its reverse (110002022021001), we get a palindrome (210122242221012).

The spelling of 100120220200011 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty million, two hundred thousand, eleven".

Divisors: 1 3 11 31 33 93 101 303 341 1023 1111 3131 3333 9393 34441 103323 969002257 2907006771 10659024827 30039069967 31977074481 90117209901 97869227957 293607683871 330429769637 991289308911 1076561507527 3033946066667 3229684522581 9101838200001 33373406733337 100120220200011