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100120001211 = 3340959315289
BaseRepresentation
bin101110100111110011…
…1011111101010111011
3100120102112110000222000
41131033213133222323
53120021210014321
6113554451032043
710143031653156
oct1351747375273
9316375400860
10100120001211
113950814885a
12174a1b9b623
139597637089
144bbad7ac9d
15290ea40826
hex174f9dfabb

100120001211 has 32 divisors (see below), whose sum is σ = 148949064000. Its totient is φ = 66466842624.

The previous prime is 100120001183. The next prime is 100120001237. The reversal of 100120001211 is 112100021001.

It is a happy number.

It is not a de Polignac number, because 100120001211 - 213 = 100119993019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100120001193 and 100120001202.

It is not an unprimeable number, because it can be changed into a prime (100120001011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6540855 + ... + 6556143.

It is an arithmetic number, because the mean of its divisors is an integer number (4654658250).

Almost surely, 2100120001211 is an apocalyptic number.

100120001211 is a deficient number, since it is larger than the sum of its proper divisors (48829062789).

100120001211 is a wasteful number, since it uses less digits than its factorization.

100120001211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16300 (or 16294 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100120001211 its reverse (112100021001), we get a palindrome (212220022212).

The spelling of 100120001211 in words is "one hundred billion, one hundred twenty million, one thousand, two hundred eleven".

Divisors: 1 3 9 27 409 593 1227 1779 3681 5337 11043 15289 16011 45867 137601 242537 412803 727611 2182833 6253201 6548499 9066377 18759603 27199131 56278809 81597393 168836427 244792179 3708148193 11124444579 33373333737 100120001211