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100222110221303 = 71011871361720947
BaseRepresentation
bin10110110010011011000111…
…010001110100001111110111
3111010212010210011212211110102
4112302123013101310033313
5101114014340204040203
6553053222443344315
730052544214650660
oct2662330721641767
9433763704784412
10100222110221303
1129a2aa5a486944
12b2a7871b2209b
1343bcb9b0990b5
141aa6ac1566367
15b8c018d95888
hex5b26c74743f7

100222110221303 has 32 divisors (see below), whose sum is σ = 115772958332928. Its totient is φ = 84981105792000.

The previous prime is 100222110221249. The next prime is 100222110221347. The reversal of 100222110221303 is 303122011222001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222110221303 is a prime.

It is a super-2 number, since 2×1002221102213032 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222110221393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4784546276 + ... + 4784567222.

It is an arithmetic number, because the mean of its divisors is an integer number (3617904947904).

Almost surely, 2100222110221303 is an apocalyptic number.

100222110221303 is a deficient number, since it is larger than the sum of its proper divisors (15550848111625).

100222110221303 is a wasteful number, since it uses less digits than its factorization.

100222110221303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26543.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100222110221303 its reverse (303122011222001), we get a palindrome (403344121443304).

The spelling of 100222110221303 in words is "one hundred trillion, two hundred twenty-two billion, one hundred ten million, two hundred twenty-one thousand, three hundred three".

Divisors: 1 7 101 707 1871 3617 13097 20947 25319 146629 188971 365317 1322797 2115647 2557219 6767407 14809529 39191837 47371849 75765299 274342859 530357093 683508107 3958375537 4784556749 7652295199 27708628759 53566066393 141756874429 992298121003 14317444317329 100222110221303