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100321330212 = 223226976113613
BaseRepresentation
bin101110101101110011…
…1100000010000100100
3100120221120021121102200
41131123213200100210
53120424230031322
6114030442134500
710151025144165
oct1353347402044
9316846247380
10100321330212
1139600859264
12175394b1430
1395ca26826c
144bd99c776c
15292255d8ac
hex175b9e0424

100321330212 has 72 divisors (see below), whose sum is σ = 254885936760. Its totient is φ = 33269905920.

The previous prime is 100321330183. The next prime is 100321330237. The reversal of 100321330212 is 212033123001.

100321330212 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 330 + 2 + 12 = 666.

100321330212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34248684096 + 66072646116 = 185064^2 + 257046^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 7362718 + ... + 7376330.

It is an arithmetic number, because the mean of its divisors is an integer number (3540082455).

Almost surely, 2100321330212 is an apocalyptic number.

100321330212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100321330212 is an abundant number, since it is smaller than the sum of its proper divisors (154564606548).

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

100321330212 is a wasteful number, since it uses less digits than its factorization.

100321330212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14653 (or 14648 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100321330212 its reverse (212033123001), we get a palindrome (312354453213).

The spelling of 100321330212 in words is "one hundred billion, three hundred twenty-one million, three hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 761 807 1076 1522 1614 2283 2421 3044 3228 4566 4842 6849 9132 9684 13613 13698 27226 27396 40839 54452 81678 122517 163356 204709 245034 409418 490068 614127 818836 1228254 1842381 2456508 3661897 3684762 7323794 7369524 10359493 10985691 14647588 20718986 21971382 31078479 32957073 41437972 43942764 62156958 65914146 93235437 124313916 131828292 186470874 372941748 2786703617 5573407234 8360110851 11146814468 16720221702 25080332553 33440443404 50160665106 100321330212