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100210021122 = 23194871180463
BaseRepresentation
bin101110101010011111…
…0111001001100000010
3100120122210211112001210
41131110332321030002
53120212231133442
6114011424310550
710145204060661
oct1352476711402
9316583745053
10100210021122
1139553a43082
1217508172456
1395b01950b3
144bc8cd0dd8
1529178c319c
hex1754fb9302

100210021122 has 32 divisors (see below), whose sum is σ = 211012945920. Its totient is φ = 31638597840.

The previous prime is 100210021069. The next prime is 100210021139. The reversal of 100210021122 is 221120012001.

It is a super-2 number, since 2×1002100211222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210021098 and 100210021107.

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 15 ways as a sum of consecutive naturals, for example, 465063 + ... + 645525.

It is an arithmetic number, because the mean of its divisors is an integer number (6594154560).

Almost surely, 2100210021122 is an apocalyptic number.

100210021122 is an abundant number, since it is smaller than the sum of its proper divisors (110802924798).

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

100210021122 is a wasteful number, since it uses less digits than its factorization.

100210021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185358.

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

Adding to 100210021122 its reverse (221120012001), we get a palindrome (321330033123).

The spelling of 100210021122 in words is "one hundred billion, two hundred ten million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 114 4871 9742 14613 29226 92549 180463 185098 277647 360926 541389 555294 1082778 3428797 6857594 10286391 20572782 879035273 1758070546 2637105819 5274211638 16701670187 33403340374 50105010561 100210021122