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100222121001220 = 22573107641544751
BaseRepresentation
bin10110110010011011000111…
…111010111100000100000100
3111010212010210221011111201121
4112302123013322330010010
5101114014400434014340
6553053223510403324
730052544405406211
oct2662330772740404
9433763727144647
10100222121001220
1129a2aa65579a69
12b2a7875660544
1343bcba03a194a
141aa6ac2b70b08
15b8c019cc494a
hex5b26c7ebc104

100222121001220 has 48 divisors (see below), whose sum is σ = 215343477635328. Its totient is φ = 39170156256000.

The previous prime is 100222121001181. The next prime is 100222121001241. The reversal of 100222121001220 is 22100121222001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100222121001194 and 100222121001203.

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 15 ways as a sum of consecutive naturals, for example, 320616156 + ... + 320928595.

It is an arithmetic number, because the mean of its divisors is an integer number (4486322450736).

Almost surely, 2100222121001220 is an apocalyptic number.

100222121001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222121001220 is an abundant number, since it is smaller than the sum of its proper divisors (115121356634108).

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

100222121001220 is a wasteful number, since it uses less digits than its factorization.

100222121001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641544940 (or 641544938 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222121001220 its reverse (22100121222001), we get a palindrome (122322242223221).

The spelling of 100222121001220 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 107 146 214 292 365 428 535 730 1070 1460 2140 7811 15622 31244 39055 78110 156220 641544751 1283089502 2566179004 3207723755 6415447510 12830895020 46832766823 68645288357 93665533646 137290576714 187331067292 234163834115 274581153428 343226441785 468327668230 686452883570 936655336460 1372905767140 5011106050061 10022212100122 20044424200244 25055530250305 50111060500610 100222121001220