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100220122120 = 2352986396657
BaseRepresentation
bin101110101010110010…
…1011011010000001000
3100120200111211201000211
41131111211123100020
53120222322401440
6114012425010504
710145355660646
oct1352545332010
9316614751024
10100220122120
1139559712108
121750b623a34
1395b22c0911
144bca3a0196
15291871aeea
hex175595b408

100220122120 has 32 divisors (see below), whose sum is σ = 233270976600. Its totient is φ = 38705701888.

The previous prime is 100220122109. The next prime is 100220122127. The reversal of 100220122120 is 21221022001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88616954596 + 11603167524 = 297686^2 + 107718^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100220122120.

It is not an unprimeable number, because it can be changed into a prime (100220122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43197169 + ... + 43199488.

Almost surely, 2100220122120 is an apocalyptic number.

100220122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220122120 is an abundant number, since it is smaller than the sum of its proper divisors (133050854480).

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

100220122120 is a wasteful number, since it uses less digits than its factorization.

100220122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86396697 (or 86396693 counting only the distinct ones).

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

Adding to 100220122120 its reverse (21221022001), we get a palindrome (121441144121).

The spelling of 100220122120 in words is "one hundred billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 86396657 172793314 345586628 431983285 691173256 863966570 1727933140 2505503053 3455866280 5011006106 10022012212 12527515265 20044024424 25055030530 50110061060 100220122120