Search a number
-
+
100220021222022 = 23213439960248581
BaseRepresentation
bin10110110010011001001010…
…110000111010101010000110
3111010211221101121001200011200
4112302121022300322222012
5101114001100413101042
6553052235301043330
730052441360522032
oct2662311260725206
9433757347050150
10100220021222022
1129a2a088281859
12b2a738a3b6546
1343bc927360450
141aa6963d411c2
15b8be457a2c4c
hex5b264ac3aa86

100220021222022 has 48 divisors (see below), whose sum is σ = 239285011933968. Its totient is φ = 30119791705920.

The previous prime is 100220021221981. The next prime is 100220021222039. The reversal of 100220021222022 is 220222120022001.

100220021222022 is a `hidden beast` number, since 10 + 0 + 2 + 200 + 212 + 220 + 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 = 100220021221986 and 100220021222004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4980114229 + ... + 4980134352.

It is an arithmetic number, because the mean of its divisors is an integer number (4985104415291).

Almost surely, 2100220021222022 is an apocalyptic number.

100220021222022 is an abundant number, since it is smaller than the sum of its proper divisors (139064990711946).

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

100220021222022 is a wasteful number, since it uses less digits than its factorization.

100220021222022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960248645 (or 9960248642 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100220021222022 its reverse (220222120022001), we get a palindrome (320442141244023).

The spelling of 100220021222022 in words is "one hundred trillion, two hundred twenty billion, twenty-one million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 10062 9960248581 19920497162 29880745743 59761491486 89642237229 129483231553 179284474458 258966463106 388449694659 428290688983 776899389318 856581377966 1165349083977 1284872066949 2330698167954 2569744133898 3854616200847 5567778956779 7709232401694 11135557913558 16703336870337 33406673740674 50110010611011 100220021222022