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100222022102220 = 223253789433390491
BaseRepresentation
bin10110110010011011000010…
…000001101010110011001100
3111010212010120001001220210200
4112302123002001222303030
5101114014200124232340
6553053210014533500
730052542064651014
oct2662330201526314
9433763501056720
10100222022102220
1129a2aa1476a757
12b2a7848507290
1343bcb85a55325
141aa6ab3988c44
15b8c01128b330
hex5b26c206accc

100222022102220 has 288 divisors, whose sum is σ = 316461308304960. Its totient is φ = 25651931627520.

The previous prime is 100222022102197. The next prime is 100222022102221. The reversal of 100222022102220 is 22201220222001.

100222022102220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 220 + 221 + 0 + 2 + 220 = 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 = 100222022102193 and 100222022102202.

It is not an unprimeable number, because it can be changed into a prime (100222022102221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256461175 + ... + 256851665.

It is an arithmetic number, because the mean of its divisors is an integer number (1098823987170).

Almost surely, 2100222022102220 is an apocalyptic number.

100222022102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222022102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158230654152480).

100222022102220 is an abundant number, since it is smaller than the sum of its proper divisors (216239286202740).

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

100222022102220 is a wasteful number, since it uses less digits than its factorization.

100222022102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391065 (or 391060 counting only the distinct ones).

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

Adding to 100222022102220 its reverse (22201220222001), we get a palindrome (122423242324221).

The spelling of 100222022102220 in words is "one hundred trillion, two hundred twenty-two billion, twenty-two million, one hundred two thousand, two hundred twenty".