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100012022121 = 3115951367243
BaseRepresentation
bin101110100100100101…
…1100101100101101001
3100120011000021010111110
41131021023211211221
53114311034201441
6113540032420533
710140251106264
oct1351113454551
9316130233443
10100012022121
11394621a7540
12174719a7749
13957b15b81b
144baa8adcdb
152905311b16
hex17492e5969

100012022121 has 16 divisors (see below), whose sum is σ = 147937662720. Its totient is φ = 59586000720.

The previous prime is 100012022111. The next prime is 100012022129. The reversal of 100012022121 is 121220210001.

It is not a de Polignac number, because 100012022121 - 210 = 100012021097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100012022097 and 100012022106.

It is not an unprimeable number, because it can be changed into a prime (100012022129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25681675 + ... + 25685568.

It is an arithmetic number, because the mean of its divisors is an integer number (9246103920).

Almost surely, 2100012022121 is an apocalyptic number.

100012022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012022121 is a deficient number, since it is larger than the sum of its proper divisors (47925640599).

100012022121 is a wasteful number, since it uses less digits than its factorization.

100012022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51367316.

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

Adding to 100012022121 its reverse (121220210001), we get a palindrome (221232232122).

The spelling of 100012022121 in words is "one hundred billion, twelve million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 33 59 177 649 1947 51367243 154101729 565039673 1695119019 3030667337 9092002011 33337340707 100012022121