Search a number
-
+
100121221131021 = 3324115386694503
BaseRepresentation
bin10110110000111101001001…
…110100011110101100001101
3111010111111101001021000122000
4112300331021310132230031
5101110341230102143041
6552535015400142513
730042343123562346
oct2660751164365415
9433444331230560
10100121221131021
11299a11981a0092
12b2901b6467a39
1343b351031293c
141aa1c703c90cd
15b895b1a86bb6
hex5b0f49d1eb0d

100121221131021 has 16 divisors (see below), whose sum is σ = 148943202798720. Its totient is φ = 66470520248640.

The previous prime is 100121221130971. The next prime is 100121221131037. The reversal of 100121221131021 is 120131122121001.

It is a happy number.

100121221131021 is a `hidden beast` number, since 1 + 0 + 0 + 121 + 2 + 211 + 310 + 21 = 666.

It is not a de Polignac number, because 100121221131021 - 29 = 100121221130509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100121221130985 and 100121221131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121221132021) 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, 7693340745 + ... + 7693353758.

It is an arithmetic number, because the mean of its divisors is an integer number (9308950174920).

Almost surely, 2100121221131021 is an apocalyptic number.

It is an amenable number.

100121221131021 is a deficient number, since it is larger than the sum of its proper divisors (48821981667699).

100121221131021 is a wasteful number, since it uses less digits than its factorization.

100121221131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15386694753 (or 15386694747 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100121221131021 its reverse (120131122121001), we get a palindrome (220252343252022).

The spelling of 100121221131021 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 27 241 723 2169 6507 15386694503 46160083509 138480250527 415440751581 3708193375223 11124580125669 33373740377007 100121221131021