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211040233001010 = 23257533362813519
BaseRepresentation
bin101111111111000010100010…
…000111110001000000110010
31000200020020201200202221200100
4233333002202013301000302
5210130140344122013020
62024502313345533230
762311103465414160
oct5777024207610062
91020206650687610
10211040233001010
11612757297a3416
121b805017044216
13909b015b056ba
143a1858a69a230
15195e992907a90
hexbff0a21f1032

211040233001010 has 96 divisors (see below), whose sum is σ = 627208574952960. Its totient is φ = 48228721628544.

The previous prime is 211040233000967. The next prime is 211040233001053. The reversal of 211040233001010 is 10100332040112.

211040233001010 is a `hidden beast` number, since 211 + 0 + 402 + 3 + 30 + 0 + 10 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (211040233000967) and next prime (211040233001053).

It is a super-2 number, since 2×2110402330010102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28046970 + ... + 34766549.

It is an arithmetic number, because the mean of its divisors is an integer number (6533422655760).

Almost surely, 2211040233001010 is an apocalyptic number.

211040233001010 is an abundant number, since it is smaller than the sum of its proper divisors (416168341951950).

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

211040233001010 is a wasteful number, since it uses less digits than its factorization.

211040233001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62818872 (or 62818869 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211040233001010 its reverse (10100332040112), we get a palindrome (221140565041122).

The spelling of 211040233001010 in words is "two hundred eleven trillion, forty billion, two hundred thirty-three million, one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 5333 10666 15999 26665 31998 37331 47997 53330 74662 79995 95994 111993 159990 186655 223986 239985 335979 373310 479970 559965 671958 1119930 1679895 3359790 62813519 125627038 188440557 314067595 376881114 439694633 565321671 628135190 879389266 942202785 1130643342 1319083899 1884405570 2198473165 2638167798 2826608355 3957251697 4396946330 5653216710 6595419495 7914503394 13190838990 19786258485 39572516970 334984496827 669968993654 1004953490481 1674922484135 2009906980962 2344891477789 3014860471443 3349844968270 4689782955578 5024767452405 6029720942886 7034674433367 10049534904810 11724457388945 14069348866734 15074302357215 21104023300101 23448914777890 30148604714430 35173372166835 42208046600202 70346744333670 105520116500505 211040233001010