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100220022202311 = 32111012323456589
BaseRepresentation
bin10110110010011001001010…
…110100101001111111000111
3111010211221101122220110212200
4112302121022310221333013
5101114001101140433221
6553052235334045543
730052441402044024
oct2662311264517707
9433757348813780
10100220022202311
1129a2a088891310
12b2a738a7a98b3
1343bc9276146bb
141aa696411854b
15b8be458e8426
hex5b264ad29fc7

100220022202311 has 12 divisors (see below), whose sum is σ = 157922459228040. Its totient is φ = 60739407395280.

The previous prime is 100220022202301. The next prime is 100220022202337. The reversal of 100220022202311 is 113202220022001.

100220022202311 is a `hidden beast` number, since 10 + 0 + 2 + 200 + 2 + 220 + 231 + 1 = 666.

It is not a de Polignac number, because 100220022202311 - 239 = 99670266388423 is a prime.

It is a super-2 number, since 2×1002200222023112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220022202301) 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, 506161728196 + ... + 506161728393.

It is an arithmetic number, because the mean of its divisors is an integer number (13160204935670).

Almost surely, 2100220022202311 is an apocalyptic number.

100220022202311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100220022202311 is a deficient number, since it is larger than the sum of its proper divisors (57702437025729).

100220022202311 is a wasteful number, since it uses less digits than its factorization.

100220022202311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012323456606 (or 1012323456603 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100220022202311 its reverse (113202220022001), we get a palindrome (213422242224312).

The spelling of 100220022202311 in words is "one hundred trillion, two hundred twenty billion, twenty-two million, two hundred two thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 1012323456589 3036970369767 9110911109301 11135558022479 33406674067437 100220022202311