Search a number
-
+
100021110102012 = 223111017502333491
BaseRepresentation
bin10110101111011111111010…
…101111001101011111111100
3111010010220222010200211012210
4112233133322233031133330
5101102221213141231022
6552421021425300420
730032200231065201
oct2657377257153774
9433126863624183
10100021110102012
1129962795120280
12b274917494710
1343a6c477ca678
141a9b094705ca8
15b86ba2c19a0c
hex5af7fabcd7fc

100021110102012 has 48 divisors (see below), whose sum is σ = 257119973437824. Its totient is φ = 30009333960000.

The previous prime is 100021110101999. The next prime is 100021110102019. The reversal of 100021110102012 is 210201011120001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021110102019) 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, 3751153414 + ... + 3751180077.

It is an arithmetic number, because the mean of its divisors is an integer number (5356666113288).

Almost surely, 2100021110102012 is an apocalyptic number.

100021110102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021110102012 is an abundant number, since it is smaller than the sum of its proper divisors (157098863335812).

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

100021110102012 is a wasteful number, since it uses less digits than its factorization.

100021110102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502333610 (or 7502333608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100021110102012 its reverse (210201011120001), we get a palindrome (310222121222013).

The spelling of 100021110102012 in words is "one hundred trillion, twenty-one billion, one hundred ten million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 7502333491 15004666982 22507000473 30009333964 45014000946 82525668401 90028001892 165051336802 247577005203 330102673604 495154010406 757735682591 990308020812 1515471365182 2273207047773 3030942730364 4546414095546 8335092508501 9092828191092 16670185017002 25005277525503 33340370034004 50010555051006 100021110102012