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100012111122 = 237111012143331
BaseRepresentation
bin101110100100100101…
…1111011010100010010
3100120011000102122120210
41131021023323110102
53114311100023442
6113540034344550
710140251626620
oct1351113732422
9316130378523
10100012111122
11394622583a0
1217471a2b156
13957b1901a1
144baa8d4510
15290532d19c
hex17492fb512

100012111122 has 64 divisors (see below), whose sum is σ = 251850083328. Its totient is φ = 25719960000.

The previous prime is 100012111097. The next prime is 100012111151. The reversal of 100012111122 is 221111210001.

It is a junction number, because it is equal to n+sod(n) for n = 100012111098 and 100012111107.

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 31 ways as a sum of consecutive naturals, for example, 1025004 + ... + 1118327.

It is an arithmetic number, because the mean of its divisors is an integer number (3935157552).

Almost surely, 2100012111122 is an apocalyptic number.

100012111122 is an abundant number, since it is smaller than the sum of its proper divisors (151837972206).

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

100012111122 is a wasteful number, since it uses less digits than its factorization.

100012111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143455.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100012111122 its reverse (221111210001), we get a palindrome (321123321123).

The spelling of 100012111122 in words is "one hundred billion, twelve million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 606 707 1111 1414 2121 2222 3333 4242 6666 7777 15554 23331 46662 2143331 4286662 6429993 12859986 15003317 23576641 30006634 45009951 47153282 70729923 90019902 141459846 165036487 216476431 330072974 432952862 495109461 649429293 990218922 1298858586 1515335017 2381240741 3030670034 4546005051 4762481482 7143722223 9092010102 14287444446 16668685187 33337370374 50006055561 100012111122