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121303033002 = 23319230720269
BaseRepresentation
bin111000011111000111…
…0010110010010101010
3102121002211001112202000
41300332032112102222
53441412034024002
6131420440551430
711523000524304
oct1607616262252
9377084045660
10121303033002
11474984440a8
121b614182576
13b592144a08
145c2a416974
15324e59461c
hex1c3e3964aa

121303033002 has 96 divisors (see below), whose sum is σ = 285437275200. Its totient is φ = 38179561248.

The previous prime is 121303032979. The next prime is 121303033009. The reversal of 121303033002 is 200330303121.

It is a super-2 number, since 2×1213030330022 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121303033009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5974524 + ... + 5994792.

It is an arithmetic number, because the mean of its divisors is an integer number (2973304950).

Almost surely, 2121303033002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121303033002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142718637600).

121303033002 is an abundant number, since it is smaller than the sum of its proper divisors (164134242198).

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

121303033002 is a wasteful number, since it uses less digits than its factorization.

121303033002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20625 (or 20600 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 121303033002 its reverse (200330303121), we get a palindrome (321633336123).

The spelling of 121303033002 in words is "one hundred twenty-one billion, three hundred three million, thirty-three thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 307 342 361 513 614 722 921 1026 1083 1842 2166 2763 3249 5526 5833 6498 8289 9747 11666 16578 17499 19494 20269 34998 40538 52497 60807 104994 110827 121614 157491 182421 221654 314982 332481 364842 385111 547263 664962 770222 997443 1094526 1155333 1994886 2310666 2992329 3465999 5984658 6222583 6931998 7317109 10397997 12445166 14634218 18667749 20795994 21951327 37335498 43902654 56003247 65853981 112006494 118229077 131707962 168009741 197561943 236458154 336019482 354687231 395123886 709374462 1064061693 2128123386 2246352463 3192185079 4492704926 6384370158 6739057389 13478114778 20217172167 40434344334 60651516501 121303033002