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100002222112 = 25131912652103
BaseRepresentation
bin101110100100010011…
…0001101000000100000
3100120010022211020102011
41131020212031000200
53114301032101422
6113535042402304
710140101601652
oct1351046150040
9316108736364
10100002222112
1139457713661
121746a660394
139579109cc0
144ba947c6d2
152904528077
hex174898d020

100002222112 has 48 divisors (see below), whose sum is σ = 223183114560. Its totient is φ = 43725664512.

The previous prime is 100002222109. The next prime is 100002222113. The reversal of 100002222112 is 211222200001.

It is a happy number.

It is a super-5 number, since 5×1000022221125 (a number of 56 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100002222092 and 100002222101.

It is not an unprimeable number, because it can be changed into a prime (100002222113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6318148 + ... + 6333955.

It is an arithmetic number, because the mean of its divisors is an integer number (4649648220).

Almost surely, 2100002222112 is an apocalyptic number.

It is an amenable number.

100002222112 is an abundant number, since it is smaller than the sum of its proper divisors (123180892448).

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

100002222112 is a wasteful number, since it uses less digits than its factorization.

100002222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652145 (or 12652137 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100002222112 its reverse (211222200001), we get a palindrome (311224422113).

The spelling of 100002222112 in words is "one hundred billion, two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 12652103 25304206 50608412 101216824 164477339 202433648 240389957 328954678 404867296 480779914 657909356 961559828 1315818712 1923119656 2631637424 3125069441 3846239312 5263274848 6250138882 7692478624 12500277764 25000555528 50001111056 100002222112