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100332230220 = 22325557401279
BaseRepresentation
bin101110101110001000…
…1000101011001001100
3100120222022210101102200
41131130101011121030
53120440022331340
6114031511521500
710151216612505
oct1353421053114
9316868711380
10100332230220
1139606a23632
1217541089290
1395cc5b3681
144bdb223bac
1529234b3330
hex175c44564c

100332230220 has 36 divisors (see below), whose sum is σ = 304341098880. Its totient is φ = 26755261344.

The previous prime is 100332230209. The next prime is 100332230221. The reversal of 100332230220 is 22032233001.

It is a happy number.

100332230220 is a `hidden beast` number, since 10 + 0 + 332 + 2 + 302 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100332230193 and 100332230202.

It is not an unprimeable number, because it can be changed into a prime (100332230221) 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 11 ways as a sum of consecutive naturals, for example, 278700460 + ... + 278700819.

Almost surely, 2100332230220 is an apocalyptic number.

100332230220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100332230220 is an abundant number, since it is smaller than the sum of its proper divisors (204008868660).

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

100332230220 is a wasteful number, since it uses less digits than its factorization.

100332230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557401294 (or 557401289 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100332230220 its reverse (22032233001), we get a palindrome (122364463221).

The spelling of 100332230220 in words is "one hundred billion, three hundred thirty-two million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 557401279 1114802558 1672203837 2229605116 2787006395 3344407674 5016611511 5574012790 6688815348 8361019185 10033223022 11148025580 16722038370 20066446044 25083057555 33444076740 50166115110 100332230220