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100022033112 = 2339257450209
BaseRepresentation
bin101110100100111000…
…1110001101011011000
3100120011201002201222220
41131021301301223120
53114321120024422
6113541031144040
710140432152661
oct1351161615330
9316151081886
10100022033112
1139467914991
1217475215020
1395802553a1
144babd58368
15290613ce5c
hex1749c71ad8

100022033112 has 32 divisors (see below), whose sum is σ = 250082650800. Its totient is φ = 33337001984.

The previous prime is 100022033087. The next prime is 100022033129. The reversal of 100022033112 is 211330220001.

It is a junction number, because it is equal to n+sod(n) for n = 100022033091 and 100022033100.

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, 2937 + ... + 447272.

Almost surely, 2100022033112 is an apocalyptic number.

100022033112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022033112 is an abundant number, since it is smaller than the sum of its proper divisors (150060617688).

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

100022033112 is a wasteful number, since it uses less digits than its factorization.

100022033112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459475 (or 459471 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100022033112 its reverse (211330220001), we get a palindrome (311352253113).

The spelling of 100022033112 in words is "one hundred billion, twenty-two million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 9257 18514 27771 37028 55542 74056 111084 222168 450209 900418 1350627 1800836 2701254 3601672 5402508 10805016 4167584713 8335169426 12502754139 16670338852 25005508278 33340677704 50011016556 100022033112