Search a number
-
+
100220233123300 = 22522934558701077
BaseRepresentation
bin10110110010011001010111…
…011001010000010111100100
3111010211221221100210101002011
4112302121113121100113210
5101114002014134421200
6553052312310524004
730052446542615023
oct2662312731202744
9433757840711064
10100220233123300
1129a2a186953384
12b2a7429366604
1343bc95c223814
141aa69841408ba
15b8be591ad5ba
hex5b26576505e4

100220233123300 has 36 divisors (see below), whose sum is σ = 224977144017780. Its totient is φ = 38705745205120.

The previous prime is 100220233123279. The next prime is 100220233123357. The reversal of 100220233123300 is 3321332022001.

It can be written as a sum of positive squares in 6 ways, for example, as 7134283736064 + 93085949387236 = 2671008^2 + 9648106^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17279347639 + ... + 17279353438.

It is an arithmetic number, because the mean of its divisors is an integer number (6249365111605).

Almost surely, 2100220233123300 is an apocalyptic number.

100220233123300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220233123300 is an abundant number, since it is smaller than the sum of its proper divisors (124756910894480).

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

100220233123300 is a wasteful number, since it uses less digits than its factorization.

100220233123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34558701120 (or 34558701113 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 100220233123300 its reverse (3321332022001), we get a palindrome (103541565145301).

The spelling of 100220233123300 in words is "one hundred trillion, two hundred twenty billion, two hundred thirty-three million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 34558701077 69117402154 138234804308 172793505385 345587010770 691174021540 863967526925 1002202331233 1727935053850 2004404662466 3455870107700 4008809324932 5011011656165 10022023312330 20044046624660 25055058280825 50110116561650 100220233123300