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100221120102 = 231761109314737
BaseRepresentation
bin101110101010110100…
…1001110111001100110
3100120200120201102000010
41131111221032321212
53120223101320402
6114012502231050
710145400315345
oct1352551167146
9316616642003
10100221120102
113955a233994
121750ba25486
1395b257cc3c
144bca57db5c
152918866a6c
hex1755a4ee66

100221120102 has 64 divisors (see below), whose sum is σ = 215924197824. Its totient is φ = 30896087040.

The previous prime is 100221120061. The next prime is 100221120107. The reversal of 100221120102 is 201021122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221120107) 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, 6793278 + ... + 6808014.

It is an arithmetic number, because the mean of its divisors is an integer number (3373815591).

Almost surely, 2100221120102 is an apocalyptic number.

100221120102 is an abundant number, since it is smaller than the sum of its proper divisors (115703077722).

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

100221120102 is a wasteful number, since it uses less digits than its factorization.

100221120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15913.

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

Adding to 100221120102 its reverse (201021122001), we get a palindrome (301242242103).

The spelling of 100221120102 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 17 34 51 61 102 122 183 366 1037 1093 2074 2186 3111 3279 6222 6558 14737 18581 29474 37162 44211 55743 66673 88422 111486 133346 200019 250529 400038 501058 751587 898957 1133441 1503174 1797914 2266882 2696871 3400323 5393742 6800646 15282269 16107541 30564538 32215082 45846807 48322623 91693614 96645246 273828197 547656394 821484591 982560001 1642969182 1965120002 2947680003 5895360006 16703520017 33407040034 50110560051 100221120102