Search a number
-
+
100100222022222 = 23237150300633667
BaseRepresentation
bin10110110000101001100110…
…001011001111001001001110
3111010102111011120201202202200
4112300221212023033021032
5101110020223314202342
6552521223540302330
730041000550235662
oct2660514613171116
9433374146652680
10100100222022222
11299932a17a6914
12b2881159a19a6
1343b1544950686
141aa0c3b5488a2
15b88c8326394c
hex5b0a662cf24e

100100222022222 has 24 divisors (see below), whose sum is σ = 222745539095976. Its totient is φ = 32464936871856.

The previous prime is 100100222022181. The next prime is 100100222022277. The reversal of 100100222022222 is 222220222001001.

100100222022222 is a `hidden beast` number, since 100 + 100 + 2 + 220 + 22 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100100222022195 and 100100222022204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75150316168 + ... + 75150317499.

It is an arithmetic number, because the mean of its divisors is an integer number (9281064128999).

Almost surely, 2100100222022222 is an apocalyptic number.

100100222022222 is an abundant number, since it is smaller than the sum of its proper divisors (122645317073754).

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

100100222022222 is a wasteful number, since it uses less digits than its factorization.

100100222022222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150300633712 (or 150300633709 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100100222022222 its reverse (222220222001001), we get a palindrome (322320444023223).

The spelling of 100100222022222 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 150300633667 300601267334 450901901001 901803802002 1352705703003 2705411406006 5561123445679 11122246891358 16683370337037 33366740674074 50050111011111 100100222022222