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100232302120 = 2352986407157
BaseRepresentation
bin101110101011001001…
…1111000111000101000
3100120201100202111211221
41131112103320320220
53120233432131440
6114013542031424
710145564340106
oct1352623707050
9316640674757
10100232302120
1139565581125
1217513718574
1395b4996812
144bcbc50c76
152919824d4a
hex17564f8e28

100232302120 has 32 divisors (see below), whose sum is σ = 233299326600. Its totient is φ = 38710405888.

The previous prime is 100232302111. The next prime is 100232302127. The reversal of 100232302120 is 21203232001.

It can be written as a sum of positive squares in 4 ways, for example, as 67094468676 + 33137833444 = 259026^2 + 182038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100232302094 and 100232302103.

It is not an unprimeable number, because it can be changed into a prime (100232302127) 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, 43202419 + ... + 43204738.

Almost surely, 2100232302120 is an apocalyptic number.

100232302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100232302120 is an abundant number, since it is smaller than the sum of its proper divisors (133067024480).

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

100232302120 is a wasteful number, since it uses less digits than its factorization.

100232302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86407197 (or 86407193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100232302120 its reverse (21203232001), we get a palindrome (121435534121).

The spelling of 100232302120 in words is "one hundred billion, two hundred thirty-two million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 86407157 172814314 345628628 432035785 691257256 864071570 1728143140 2505807553 3456286280 5011615106 10023230212 12529037765 20046460424 25058075530 50116151060 100232302120