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100222211001220 = 225711260924944177
BaseRepresentation
bin10110110010011011001101…
…010010010000101110000100
3111010212011001012111222111221
4112302123031102100232010
5101114020042004014340
6553053240443410124
730052546550401660
oct2662331522205604
9433764035458457
10100222211001220
1129a30001360330
12b2a789b823944
1343bcbb5c23899
141aa6ad0abb8a0
15b8c022b5144a
hex5b26cd490b84

100222211001220 has 96 divisors (see below), whose sum is σ = 262500556066560. Its totient is φ = 31226117283840.

The previous prime is 100222211001203. The next prime is 100222211001287. The reversal of 100222211001220 is 22100112222001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100222211001194 and 100222211001203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8454229 + ... + 16489948.

It is an arithmetic number, because the mean of its divisors is an integer number (2734380792360).

Almost surely, 2100222211001220 is an apocalyptic number.

100222211001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222211001220 is an abundant number, since it is smaller than the sum of its proper divisors (162278345065340).

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

100222211001220 is a wasteful number, since it uses less digits than its factorization.

100222211001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24946813 (or 24946811 counting only the distinct ones).

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

Adding to 100222211001220 its reverse (22100112222001), we get a palindrome (122322323223221).

The spelling of 100222211001220 in words is "one hundred trillion, two hundred twenty-two billion, two hundred eleven million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2609 5218 10436 13045 18263 26090 28699 36526 52180 57398 73052 91315 114796 143495 182630 200893 286990 365260 401786 573980 803572 1004465 2008930 4017860 24944177 49888354 99776708 124720885 174609239 249441770 274385947 349218478 498883540 548771894 698436956 873046195 1097543788 1371929735 1746092390 1920701629 2743859470 3492184780 3841403258 5487718940 7682806516 9603508145 19207016290 38414032580 65079357793 130158715586 260317431172 325396788965 455555504551 650793577930 715872935723 911111009102 1301587155860 1431745871446 1822222018204 2277777522755 2863491742892 3579364678615 4555555045510 5011110550061 7158729357230 9111110091020 10022221100122 14317458714460 20044442200244 25055552750305 50111105500610 100222211001220