Search a number
-
+
100201233431211 = 31110130063376367
BaseRepresentation
bin10110110010000111101010…
…111011001011101010101011
3111010210010220020112000022120
4112302013222323023222223
5101113144111224244321
6553035451113322323
730051204655113513
oct2662075273135253
9433703806460276
10100201233431211
1129a22117038510
12b2a38064063a3
1343bac21b63273
141aa5aa0a46843
15b8b6e6184ec6
hex5b21eaecbaab

100201233431211 has 16 divisors (see below), whose sum is σ = 147190290697728. Its totient is φ = 60126752732000.

The previous prime is 100201233431203. The next prime is 100201233431239. The reversal of 100201233431211 is 112134332102001.

It is a cyclic number.

It is not a de Polignac number, because 100201233431211 - 23 = 100201233431203 is a prime.

It is a super-2 number, since 2×1002012334312112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100201233431111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15031684851 + ... + 15031691516.

It is an arithmetic number, because the mean of its divisors is an integer number (9199393168608).

Almost surely, 2100201233431211 is an apocalyptic number.

100201233431211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100201233431211 is a deficient number, since it is larger than the sum of its proper divisors (46989057266517).

100201233431211 is a wasteful number, since it uses less digits than its factorization.

100201233431211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30063376482.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100201233431211 its reverse (112134332102001), we get a palindrome (212335565533212).

The spelling of 100201233431211 in words is "one hundred trillion, two hundred one billion, two hundred thirty-three million, four hundred thirty-one thousand, two hundred eleven".

Divisors: 1 3 11 33 101 303 1111 3333 30063376367 90190129101 330697140037 992091420111 3036401013067 9109203039201 33400411143737 100201233431211