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100332010020 = 223511152018197
BaseRepresentation
bin101110101110001000…
…0001111101000100100
3100120222022101012101010
41131130100033220210
53120434443310040
6114031503102220
710151215004514
oct1353420175044
9316868335333
10100332010020
1139606893150
1217540ba1970
1395cc537388
144bdb1a7844
15292346ce80
hex175c40fa24

100332010020 has 48 divisors (see below), whose sum is σ = 306468687168. Its totient is φ = 24322911360.

The previous prime is 100332010019. The next prime is 100332010057. The reversal of 100332010020 is 20010233001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100332009978 and 100332010005.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76008439 + ... + 76009758.

It is an arithmetic number, because the mean of its divisors is an integer number (6384764316).

Almost surely, 2100332010020 is an apocalyptic number.

100332010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100332010020 is an abundant number, since it is smaller than the sum of its proper divisors (206136677148).

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

100332010020 is a wasteful number, since it uses less digits than its factorization.

100332010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152018220 (or 152018218 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100332010020 its reverse (20010233001), we get a palindrome (120342243021).

It can be divided in two parts, 1003 and 32010020, that added together give a palindrome (32011023).

The spelling of 100332010020 in words is "one hundred billion, three hundred thirty-two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 152018197 304036394 456054591 608072788 760090985 912109182 1520181970 1672200167 1824218364 2280272955 3040363940 3344400334 4560545910 5016600501 6688800668 8361000835 9121091820 10033201002 16722001670 20066402004 25083002505 33444003340 50166005010 100332010020