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100122202120 = 2353137996981
BaseRepresentation
bin101110100111110111…
…1111001000000001000
3100120102200120212001011
41131033233321000020
53120022240431440
6113555010133304
710143056450623
oct1351757710010
9316380525034
10100122202120
1139509411396
12174a2881234
139597c27aa5
144bbb390dba
15290ed279ea
hex174fbf9008

100122202120 has 32 divisors (see below), whose sum is σ = 225994711320. Its totient is φ = 39920924160.

The previous prime is 100122202111. The next prime is 100122202123. The reversal of 100122202120 is 21202221001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30423034084 + 69699168036 = 174422^2 + 264006^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100122202120.

It is not an unprimeable number, because it can be changed into a prime (100122202123) 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 7 ways as a sum of consecutive naturals, for example, 3985971 + ... + 4011010.

Almost surely, 2100122202120 is an apocalyptic number.

100122202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122202120 is an abundant number, since it is smaller than the sum of its proper divisors (125872509200).

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

100122202120 is a wasteful number, since it uses less digits than its factorization.

100122202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997305 (or 7997301 counting only the distinct ones).

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

Adding to 100122202120 its reverse (21202221001), we get a palindrome (121324423121).

The spelling of 100122202120 in words is "one hundred billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 3130 6260 12520 7996981 15993962 31987924 39984905 63975848 79969810 159939620 319879240 2503055053 5006110106 10012220212 12515275265 20024440424 25030550530 50061101060 100122202120