Search a number
-
+
100112220221022 = 2351988910357093
BaseRepresentation
bin10110110000110100110001…
…010100101110111001011110
3111010110122010202110102100000
4112300310301110232321132
5101110214311334033042
6552530530303315130
730041604100241262
oct2660646124567136
9433418122412300
10100112220221022
1129998399438199
12b28a503babaa6
1343b27076043a9
141aa1658c180a2
15b8923677a74c
hex5b0d3152ee5e

100112220221022 has 48 divisors (see below), whose sum is σ = 224954838828720. Its totient is φ = 33369059002752.

The previous prime is 100112220221003. The next prime is 100112220221029. The reversal of 100112220221022 is 220122022211001.

It is a happy number.

100112220221022 is a `hidden beast` number, since 100 + 112 + 220 + 2 + 210 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100112220220986 and 100112220221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112220221029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4487508 + ... + 14844600.

It is an arithmetic number, because the mean of its divisors is an integer number (4686559142265).

Almost surely, 2100112220221022 is an apocalyptic number.

100112220221022 is an abundant number, since it is smaller than the sum of its proper divisors (124842618607698).

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

100112220221022 is a wasteful number, since it uses less digits than its factorization.

100112220221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376999 (or 10376987 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100112220221022 its reverse (220122022211001), we get a palindrome (320234242432023).

The spelling of 100112220221022 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 19889 39778 59667 119334 179001 358002 537003 1074006 1611009 3222018 4833027 9666054 10357093 20714186 31071279 62142558 93213837 186427674 279641511 559283022 838924533 1677849066 2516773599 5033547198 205992222677 411984445354 617976668031 1235953336062 1853930004093 3707860008186 5561790012279 11123580024558 16685370036837 33370740073674 50056110110511 100112220221022