Search a number
-
+
100332330012 = 22321927720247
BaseRepresentation
bin101110101110001000…
…1011101110000011100
3100120222022222110022200
41131130101131300130
53120440034030022
6114031514011500
710151220506445
oct1353421356034
9316868873280
10100332330012
1139606a91602
1217541116b90
1395cc619c15
144bdb24c2cc
1529234d2bac
hex175c45dc1c

100332330012 has 54 divisors (see below), whose sum is σ = 267668718408. Its totient is φ = 31683889584.

The previous prime is 100332330011. The next prime is 100332330013. The reversal of 100332330012 is 210033233001.

100332330012 is a `hidden beast` number, since 1 + 0 + 0 + 332 + 330 + 0 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100332330011) and next prime (100332330013).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332330011) 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 17 ways as a sum of consecutive naturals, for example, 3847128 + ... + 3873119.

Almost surely, 2100332330012 is an apocalyptic number.

100332330012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100332330012 is an abundant number, since it is smaller than the sum of its proper divisors (167336388396).

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

100332330012 is a wasteful number, since it uses less digits than its factorization.

100332330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720295 (or 7720271 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100332330012 its reverse (210033233001), we get a palindrome (310365563013).

It can be divided in two parts, 10033233001 and 2, that multiplied together give a palindrome (20066466002).

The spelling of 100332330012 in words is "one hundred billion, three hundred thirty-two million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 7720247 15440494 23160741 30880988 46321482 69482223 92642964 138964446 146684693 277928892 293369386 440054079 586738772 880108158 1320162237 1760216316 2640324474 2787009167 5280648948 5574018334 8361027501 11148036668 16722055002 25083082503 33444110004 50166165006 100332330012