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100433230342134 = 23471783199745489
BaseRepresentation
bin10110110101011111101111…
…000001001010011111110110
3111011121022201111122011222220
4112311133233001022133312
5101130444223431422014
6553334220012303210
730104030034244224
oct2665375701123766
9434538644564886
10100433230342134
112a00154826a448
12b320771771b06
134406a7517c811
141ab2dcc465b14
15b927736d56a9
hex5b57ef04a7f6

100433230342134 has 32 divisors (see below), whose sum is σ = 205255269596160. Its totient is φ = 32747074284672.

The previous prime is 100433230342127. The next prime is 100433230342139. The reversal of 100433230342134 is 431243032334001.

It is a happy number.

It is a super-2 number, since 2×1004332303421342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100433230342095 and 100433230342104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100433230342139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99369939 + ... + 100375550.

It is an arithmetic number, because the mean of its divisors is an integer number (6414227174880).

Almost surely, 2100433230342134 is an apocalyptic number.

100433230342134 is an abundant number, since it is smaller than the sum of its proper divisors (104822039254026).

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

100433230342134 is a wasteful number, since it uses less digits than its factorization.

100433230342134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199747324.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 100433230342134 its reverse (431243032334001), we get a palindrome (531676262676135).

The spelling of 100433230342134 in words is "one hundred trillion, four hundred thirty-three billion, two hundred thirty million, three hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 47 94 141 282 1783 3566 5349 10698 83801 167602 251403 502806 199745489 399490978 599236467 1198472934 9388037983 18776075966 28164113949 56328227898 356146206887 712292413774 1068438620661 2136877241322 16738871723689 33477743447378 50216615171067 100433230342134