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100221111132 = 223139487123377
BaseRepresentation
bin101110101010110100…
…1001100101101011100
3100120200120200221200220
41131111221030231130
53120223101024012
6114012502121340
710145400250242
oct1352551145534
9316616627626
10100221111132
113955a22817a
121750ba20250
1395b2578b2c
144bca57a792
15291886408c
hex1755a4cb5c

100221111132 has 48 divisors (see below), whose sum is σ = 236017178880. Its totient is φ = 33098326272.

The previous prime is 100221111131. The next prime is 100221111163. The reversal of 100221111132 is 231111122001.

It is a super-2 number, since 2×1002211111322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221111131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750628 + ... + 874004.

It is an arithmetic number, because the mean of its divisors is an integer number (4917024560).

Almost surely, 2100221111132 is an apocalyptic number.

100221111132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221111132 is an abundant number, since it is smaller than the sum of its proper divisors (135796067748).

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

100221111132 is a wasteful number, since it uses less digits than its factorization.

100221111132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124010 (or 124008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100221111132 its reverse (231111122001), we get a palindrome (331332233133).

The spelling of 100221111132 in words is "one hundred billion, two hundred twenty-one million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 139 278 417 487 556 834 974 1461 1668 1948 2922 5844 67693 123377 135386 203079 246754 270772 370131 406158 493508 740262 812316 1480524 17149403 34298806 51448209 60084599 68597612 102896418 120169198 180253797 205792836 240338396 360507594 721015188 8351759261 16703518522 25055277783 33407037044 50110555566 100221111132