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211222211202002 = 2711131019421110881
BaseRepresentation
bin110000000001101100000000…
…110111100000101111010010
31000200212122110001212101112102
4300001230000313200233102
5210141131042031431002
62025122051054200402
762330205204535130
oct6001540067405722
91020778401771472
10211222211202002
1161335922743250
121b8343431b3102
1390b2227531080
143a232d10b8750
151964593b19a02
hexc01b00de0bd2

211222211202002 has 128 divisors (see below), whose sum is σ = 429659922617856. Its totient is φ = 75203251200000.

The previous prime is 211222211201987. The next prime is 211222211202017. The reversal of 211222211202002 is 200202112222112.

It is an interprime number because it is at equal distance from previous prime (211222211201987) and next prime (211222211202017).

It is a super-2 number, since 2×2112222112020022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1904889602 + ... + 1905000482.

It is an arithmetic number, because the mean of its divisors is an integer number (3356718145452).

Almost surely, 2211222211202002 is an apocalyptic number.

211222211202002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211222211202002 is an abundant number, since it is smaller than the sum of its proper divisors (218437711415854).

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

211222211202002 is a wasteful number, since it uses less digits than its factorization.

211222211202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120436.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211222211202002 its reverse (200202112222112), we get a palindrome (411424323424114).

The spelling of 211222211202002 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred eleven million, two hundred two thousand, two".

Divisors: 1 2 7 11 13 14 22 26 77 91 101 143 154 182 202 286 707 1001 1111 1313 1414 2002 2222 2626 7777 9191 9421 14443 15554 18382 18842 28886 65947 101101 103631 110881 122473 131894 202202 207262 221762 244946 725417 776167 857311 951521 1219691 1347203 1441453 1450834 1552334 1714622 1903042 2439382 2694406 2882906 6660647 8537837 9430421 10090171 10466731 11198981 12369773 13321294 15855983 17075674 18860842 20180342 20933462 22397962 24739546 31711966 73267117 78392867 86588411 110991881 123188791 136067503 145586753 146534234 156785734 173176822 221983762 246377582 272135006 291173506 862321537 952472521 1019107271 1044609901 1601454283 1724643074 1904945042 2038214542 2089219802 3202908566 7312269307 11210179981 11490708911 13579928713 14624538614 22420359962 22981417822 27159857426 80434962377 95059500991 105505600001 149379215843 160869924754 190119001982 211011200002 298758431686 738539200007 1045654510901 1160561600011 1371572800013 1477078400014 2091309021802 2321123200022 2743145600026 8123931200077 9601009600091 15087300800143 16247862400154 19202019200182 30174601600286 105611105601001 211222211202002