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100222222221220 = 225114121649513239
BaseRepresentation
bin10110110010011011001101…
…111101000011111110100100
3111010212011001222122000110111
4112302123031331003332210
5101114020102342034340
6553053241524102404
730052550044642231
oct2662331575037644
9433764058560414
10100222222221220
1129a30007724060
12b2a78a3534a04
1343bcbb8351838
141aa6ad239c788
15b8c023b1aaea
hex5b26cdf43fa4

100222222221220 has 96 divisors (see below), whose sum is σ = 235211322528000. Its totient is φ = 35553843916800.

The previous prime is 100222222221169. The next prime is 100222222221229. The reversal of 100222222221220 is 22122222222001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100222222221191 and 100222222221200.

It is not an unprimeable number, because it can be changed into a prime (100222222221229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195017361 + ... + 195530599.

It is an arithmetic number, because the mean of its divisors is an integer number (2450117943000).

Almost surely, 2100222222221220 is an apocalyptic number.

100222222221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222222221220 is an abundant number, since it is smaller than the sum of its proper divisors (134989100306780).

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

100222222221220 is a wasteful number, since it uses less digits than its factorization.

100222222221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534949 (or 534947 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 100222222221220 its reverse (22122222222001), we get a palindrome (122344444443221).

It can be divided in two parts, 1002 and 22222221220, that added together give a palindrome (22222222222).

The spelling of 100222222221220 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 21649 43298 86596 108245 216490 238139 432980 476278 513239 887609 952556 1026478 1190695 1775218 2052956 2381390 2566195 3550436 4438045 4762780 5132390 5645629 8876090 9763699 10264780 11291258 17752180 19527398 21042799 22582516 28228145 39054796 42085598 48818495 56456290 84171196 97636990 105213995 112912580 195273980 210427990 231470789 420855980 462941578 925883156 1157353945 2314707890 4629415780 11111111111 22222222222 44444444444 55555555555 111111111110 122222222221 222222222220 244444444442 455555555551 488888888884 611111111105 911111111102 1222222222210 1822222222204 2277777777755 2444444444420 4555555555510 5011111111061 9111111111020 10022222222122 20044444444244 25055555555305 50111111110610 100222222221220