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100022111220 = 22351667035187
BaseRepresentation
bin101110100100111001…
…0000100101111110100
3100120011201020201010210
41131021302010233310
53114321130024340
6113541032545420
710140432626463
oct1351162045764
9316151221123
10100022111220
1139467968639
1217475252270
139580281ac5
144babd789da
152906156180
hex1749c84bf4

100022111220 has 24 divisors (see below), whose sum is σ = 280061911584. Its totient is φ = 26672562976.

The previous prime is 100022111219. The next prime is 100022111237. The reversal of 100022111220 is 22111220001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100022111196 and 100022111205.

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 7 ways as a sum of consecutive naturals, for example, 833517534 + ... + 833517653.

It is an arithmetic number, because the mean of its divisors is an integer number (11669246316).

Almost surely, 2100022111220 is an apocalyptic number.

100022111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022111220 is an abundant number, since it is smaller than the sum of its proper divisors (180039800364).

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

100022111220 is a wasteful number, since it uses less digits than its factorization.

100022111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667035199 (or 1667035197 counting only the distinct ones).

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

Adding to 100022111220 its reverse (22111220001), we get a palindrome (122133331221).

The spelling of 100022111220 in words is "one hundred billion, twenty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1667035187 3334070374 5001105561 6668140748 8335175935 10002211122 16670351870 20004422244 25005527805 33340703740 50011055610 100022111220