Search a number
-
+
100103302003212 = 223210127531161167
BaseRepresentation
bin10110110000101100011101…
…110000011011101000001100
3111010102210010020021000101200
4112300230131300123220030
5101110043030303100322
6552522453323105500
730041140066525254
oct2660543560335014
9433383106230350
10100103302003212
1129994632325152
12b288835372290
1343b1915a89731
141aa1050610964
15b88db38558ac
hex5b0b1dc1ba0c

100103302003212 has 36 divisors (see below), whose sum is σ = 255544237961376. Its totient is φ = 33037393399200.

The previous prime is 100103302003171. The next prime is 100103302003247. The reversal of 100103302003212 is 212300203301001.

100103302003212 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 330 + 2 + 0 + 0 + 321 + 2 = 666.

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

It is a super-2 number, since 2×1001033020032122 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13765576948 + ... + 13765584219.

Almost surely, 2100103302003212 is an apocalyptic number.

100103302003212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100103302003212 is an abundant number, since it is smaller than the sum of its proper divisors (155440935958164).

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

100103302003212 is a wasteful number, since it uses less digits than its factorization.

100103302003212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27531161278 (or 27531161273 counting only the distinct ones).

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

Adding to 100103302003212 its reverse (212300203301001), we get a palindrome (312403505304213).

The spelling of 100103302003212 in words is "one hundred trillion, one hundred three billion, three hundred two million, three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 27531161167 55062322334 82593483501 110124644668 165186967002 247780450503 330373934004 495560901006 991121802012 2780647277867 5561294555734 8341941833601 11122589111468 16683883667202 25025825500803 33367767334404 50051651001606 100103302003212