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100222211112 = 23331134707273
BaseRepresentation
bin101110101010110110…
…1011001010000101000
3100120200122202211120220
41131111231121100220
53120223341223422
6114012541450040
710145412511212
oct1352555312050
9316618684526
10100222211112
113955a909651
1217510270920
1395b28726ca
144bca7855b2
1529189cee5c
hex1755b59428

100222211112 has 32 divisors (see below), whose sum is σ = 258637966080. Its totient is φ = 32329745280.

The previous prime is 100222211069. The next prime is 100222211149. The reversal of 100222211112 is 211112222001.

It is a junction number, because it is equal to n+sod(n) for n = 100222211091 and 100222211100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67352893 + ... + 67354380.

It is an arithmetic number, because the mean of its divisors is an integer number (8082436440).

Almost surely, 2100222211112 is an apocalyptic number.

100222211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222211112 is an abundant number, since it is smaller than the sum of its proper divisors (158415754968).

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

100222211112 is a wasteful number, since it uses less digits than its factorization.

100222211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134707313 (or 134707309 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100222211112 its reverse (211112222001), we get a palindrome (311334433113).

The spelling of 100222211112 in words is "one hundred billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 134707273 269414546 404121819 538829092 808243638 1077658184 1616487276 3232974552 4175925463 8351850926 12527776389 16703701852 25055552778 33407403704 50111105556 100222211112