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100221012012 = 22311759250091
BaseRepresentation
bin101110101010110100…
…0110100100000101100
3100120200120111220201210
41131111220310200230
53120223034341022
6114012500034420
710145366355252
oct1352550644054
9316616456653
10100221012012
113955a16a760
121750b992a10
1395b2542994
144bca5525d2
152918844a0c
hex1755a3482c

100221012012 has 24 divisors (see below), whose sum is σ = 255108030912. Its totient is φ = 30370003600.

The previous prime is 100221011993. The next prime is 100221012079. The reversal of 100221012012 is 210210122001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379624914 + ... + 379625177.

It is an arithmetic number, because the mean of its divisors is an integer number (10629501288).

Almost surely, 2100221012012 is an apocalyptic number.

100221012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221012012 is an abundant number, since it is smaller than the sum of its proper divisors (154887018900).

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

100221012012 is a wasteful number, since it uses less digits than its factorization.

100221012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759250109 (or 759250107 counting only the distinct ones).

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

Adding to 100221012012 its reverse (210210122001), we get a palindrome (310431134013).

The spelling of 100221012012 in words is "one hundred billion, two hundred twenty-one million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 759250091 1518500182 2277750273 3037000364 4555500546 8351751001 9111001092 16703502002 25055253003 33407004004 50110506006 100221012012