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2002312213112 = 2323293124150227
BaseRepresentation
bin11101001000110011000…
…110111011001001111000
321002102022120200110001202
4131020303012323021320
5230301213411304422
64131503255433332
7264443106664121
oct35106306731170
97072276613052
102002312213112
117021a3053812
1228408a385848
13116a815c4503
146ccab9bb048
1537140eb2b92
hex1d2331bb278

2002312213112 has 128 divisors (see below), whose sum is σ = 4200828825600. Its totient is φ = 891049420800.

The previous prime is 2002312213051. The next prime is 2002312213117. The reversal of 2002312213112 is 2113122132002.

It is a super-3 number, since 3×20023122131123 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002312213117) 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, 39840143 + ... + 39890369.

It is an arithmetic number, because the mean of its divisors is an integer number (32818975200).

Almost surely, 22002312213112 is an apocalyptic number.

It is an amenable number.

2002312213112 is an abundant number, since it is smaller than the sum of its proper divisors (2198516612488).

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

2002312213112 is a wasteful number, since it uses less digits than its factorization.

2002312213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50557 (or 50553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2002312213112 its reverse (2113122132002), we get a palindrome (4115434345114).

The spelling of 2002312213112 in words is "two trillion, two billion, three hundred twelve million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 23 29 31 46 58 62 92 116 124 184 232 241 248 482 667 713 899 964 1334 1426 1798 1928 2668 2852 3596 5336 5543 5704 6989 7192 7471 11086 13978 14942 20677 22172 27956 29884 41354 44344 50227 55912 59768 82708 100454 160747 165416 171833 200908 216659 321494 343666 401816 433318 642988 687332 866636 1155221 1285976 1374664 1456583 1557037 1733272 2310442 2913166 3114074 4620884 4983157 5826332 6228148 9241768 9966314 11652664 12104707 12456296 19932628 24209414 33501409 35811851 39865256 45154073 48418828 67002818 71623702 90308146 96837656 134005636 143247404 180616292 268011272 278408261 286494808 351036503 361232584 375245917 556816522 702073006 750491834 1038543679 1113633044 1404146012 1500983668 2077087358 2227266088 2808292024 3001967336 4154174716 8073839569 8308349432 8630656091 10882131593 16147679138 17261312182 21764263186 32295358276 34522624364 43528526372 64590716552 69045248728 87057052744 250289026639 500578053278 1001156106556 2002312213112