Search a number
-
+
100333031202012 = 22371637327857961
BaseRepresentation
bin10110110100000010011010…
…101011110001110011011100
3111011020202002110021110212010
4112310002122223301303130
5101122324021441431022
6553220205213111220
730063552021512250
oct2664023253616334
9434222073243763
10100333031202012
1129a72aaa489434
12b305269188510
1343ca4973272ab
141aac204ba8260
15b8ed5bc6150c
hex5b409aaf1cdc

100333031202012 has 48 divisors (see below), whose sum is σ = 269196190092032. Its totient is φ = 28490711748480.

The previous prime is 100333031201999. The next prime is 100333031202013. The reversal of 100333031202012 is 210202130333001.

100333031202012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100333031202012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100333031202013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3663915289 + ... + 3663942672.

Almost surely, 2100333031202012 is an apocalyptic number.

100333031202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100333031202012 is an abundant number, since it is smaller than the sum of its proper divisors (168863158890020).

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

100333031202012 is a wasteful number, since it uses less digits than its factorization.

100333031202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327858138 (or 7327858136 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100333031202012 its reverse (210202130333001), we get a palindrome (310535161535013).

The spelling of 100333031202012 in words is "one hundred trillion, three hundred thirty-three billion, thirty-one million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1956 2282 3423 4564 6846 13692 7327857961 14655715922 21983573883 29311431844 43967147766 51295005727 87934295532 102590011454 153885017181 205180022908 307770034362 615540068724 1194440847643 2388881695286 3583322542929 4777763390572 7166645085858 8361085933501 14333290171716 16722171867002 25083257800503 33444343734004 50166515601006 100333031202012