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100220210122122 = 23273320323812391
BaseRepresentation
bin10110110010011001010110…
…000001100000110110001010
3111010211221212202111210101200
4112302121112001200312022
5101114001442242401442
6553052310125525030
730052446143246136
oct2662312601406612
9433757782453350
10100220210122122
1129a2a174973242
12b2a7421713776
1343bc95752c35c
141aa69810743c6
15b8be5716834c
hex5b2656060d8a

100220210122122 has 48 divisors (see below), whose sum is σ = 220187092851648. Its totient is φ = 32938821840960.

The previous prime is 100220210122103. The next prime is 100220210122129. The reversal of 100220210122122 is 221221012022001.

It is a happy number.

100220210122122 is a `hidden beast` number, since 10 + 0 + 220 + 210 + 1 + 221 + 2 + 2 = 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 = 100220210122095 and 100220210122104.

It is not an unprimeable number, because it can be changed into a prime (100220210122129) 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, 7697454 + ... + 16114937.

It is an arithmetic number, because the mean of its divisors is an integer number (4587231101076).

Almost surely, 2100220210122122 is an apocalyptic number.

100220210122122 is an abundant number, since it is smaller than the sum of its proper divisors (119966882729526).

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

100220210122122 is a wasteful number, since it uses less digits than its factorization.

100220210122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23815675 (or 23815672 counting only the distinct ones).

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

Adding to 100220210122122 its reverse (221221012022001), we get a palindrome (321441222144123).

The spelling of 100220210122122 in words is "one hundred trillion, two hundred twenty billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 3203 6406 9609 19218 28827 57654 233819 467638 701457 1402914 2104371 4208742 23812391 47624782 71437173 142874346 214311519 428623038 1738304543 3476609086 5214913629 10429827258 15644740887 31289481774 76271088373 152542176746 228813265119 457626530238 686439795357 1372879590714 5567789451229 11135578902458 16703368353687 33406736707374 50110105061061 100220210122122