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211045002013312 = 27172931107883863
BaseRepresentation
bin101111111111000110111110…
…011000000110101010000000
31000200020201001001111212200121
4233333012332120012222000
5210130230131003411222
62024504422510230024
762311332614353135
oct5777067630065200
91020221031455617
10211045002013312
11612777567829a5
121b805b281b5314
13909b5c5b4a57c
143a188bdbd058c
15195eb714335c7
hexbff1be606a80

211045002013312 has 128 divisors (see below), whose sum is σ = 475379458329600. Its totient is φ = 92797382737920.

The previous prime is 211045002013297. The next prime is 211045002013357. The reversal of 211045002013312 is 213310200540112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2110450020133122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51985708 + ... + 55898155.

It is an arithmetic number, because the mean of its divisors is an integer number (3713902018200).

Almost surely, 2211045002013312 is an apocalyptic number.

It is an amenable number.

211045002013312 is an abundant number, since it is smaller than the sum of its proper divisors (264334456316288).

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

211045002013312 is a wasteful number, since it uses less digits than its factorization.

211045002013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107883954 (or 107883942 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 211045002013312 its reverse (213310200540112), we get a palindrome (424355202553424).

The spelling of 211045002013312 in words is "two hundred eleven trillion, forty-five billion, two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 64 68 116 124 128 136 232 248 272 464 493 496 527 544 899 928 986 992 1054 1088 1798 1856 1972 1984 2108 2176 3596 3712 3944 3968 4216 7192 7888 8432 14384 15283 15776 16864 28768 30566 31552 33728 57536 61132 63104 67456 115072 122264 244528 489056 978112 1956224 107883863 215767726 431535452 863070904 1726141808 1834025671 3128632027 3344399753 3452283616 3668051342 6257264054 6688799506 6904567232 7336102684 12514528108 13377599012 13809134464 14672205368 25029056216 26755198024 29344410736 50058112432 53186744459 53510396048 56854795801 58688821472 96987592837 100116224864 106373488918 107020792096 113709591602 117377642944 193975185674 200232449728 212746977836 214041584192 227419183204 234755285888 387950371348 400464899456 425493955672 428083168384 454838366408 775900742696 850987911344 909676732816 1551801485392 1648789078229 1701975822688 1819353465632 3103602970784 3297578156458 3403951645376 3638706931264 6207205941568 6595156312916 6807903290752 7277413862528 12414411883136 13190312625832 26380625251664 52761250503328 105522501006656 211045002013312