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1002221222220 = 2232519377920193
BaseRepresentation
bin11101001010110010000…
…10100011100101001100
310112210220112001012112200
432211121002203211030
5112410022113102340
62044225235001500
7132256655554401
oct16453102434514
93483815035480
101002221222220
11357048830039
121422a1a39290
137368051aa0a
143671744a2a8
151b10b776330
hexe9590a394c

1002221222220 has 144 divisors (see below), whose sum is σ = 3286563702240. Its totient is φ = 246349651968.

The previous prime is 1002221222117. The next prime is 1002221222269. The reversal of 1002221222220 is 222221222001.

1002221222220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 221 + 222 + 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 = 1002221222193 and 1002221222202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3833557 + ... + 4086636.

Almost surely, 21002221222220 is an apocalyptic number.

1002221222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002221222220 is an abundant number, since it is smaller than the sum of its proper divisors (2284342480020).

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

1002221222220 is a wasteful number, since it uses less digits than its factorization.

1002221222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920264 (or 7920259 counting only the distinct ones).

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

Adding to 1002221222220 its reverse (222221222001), we get a palindrome (1224442444221).

The spelling of 1002221222220 in words is "one trillion, two billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2812 3330 3420 3515 4218 6327 6660 7030 8436 10545 12654 14060 21090 25308 31635 42180 63270 126540 7920193 15840386 23760579 31680772 39600965 47521158 71281737 79201930 95042316 118802895 142563474 150483667 158403860 237605790 285126948 293047141 300967334 356408685 451451001 475211580 586094282 601934668 712817370 752418335 879141423 902902002 1172188564 1354353003 1425634740 1465235705 1504836670 1758282846 1805804004 2257255005 2637424269 2708706006 2930471410 3009673340 3516565692 4395707115 4514510010 5274848538 5417412012 5567895679 5860942820 6771765015 8791414230 9029020020 10549697076 11135791358 13187121345 13543530030 16703687037 17582828460 22271582716 26374242690 27087060060 27839478395 33407374074 50111061111 52748485380 55678956790 66814748148 83518435185 100222122222 111357913580 167036870370 200444244444 250555305555 334073740740 501110611110 1002221222220