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100022211102 = 231179148112953
BaseRepresentation
bin101110100100111001…
…0011101001000011110
3100120011201102210011010
41131021302131020132
53114321141223402
6113541035040050
710140433523622
oct1351162351036
9316151383133
10100022211102
1139467a26690
12174752a0026
1395802b83c8
144babda3182
152906175a6c
hex1749c9d21e

100022211102 has 64 divisors (see below), whose sum is σ = 221158978560. Its totient is φ = 29903577600.

The previous prime is 100022211083. The next prime is 100022211137. The reversal of 100022211102 is 201112220001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7715458 + ... + 7728410.

It is an arithmetic number, because the mean of its divisors is an integer number (3455609040).

Almost surely, 2100022211102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110579489280).

100022211102 is an abundant number, since it is smaller than the sum of its proper divisors (121136767458).

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

100022211102 is a wasteful number, since it uses less digits than its factorization.

100022211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14529.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100022211102 its reverse (201112220001), we get a palindrome (301134431103).

The spelling of 100022211102 in words is "one hundred billion, twenty-two million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1481 1738 2607 2962 4443 5214 8886 12953 16291 25906 32582 38859 48873 77718 97746 116999 142483 233998 284966 350997 427449 701994 854898 1023287 1286989 2046574 2573978 3069861 3860967 6139722 7721934 11256157 19183393 22512314 33768471 38366786 57550179 67536942 115100358 211017323 422034646 633051969 1266103938 1515488047 3030976094 4546464141 9092928282 16670368517 33340737034 50011105551 100022211102