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120021121355013 = 322341113277451799
BaseRepresentation
bin11011010010100010011000…
…010011011100110100000101
3120201221220111022100001002100
4123102202120103130310011
5111212411224031330023
61103132535244502313
734165145162555514
oct3322423023346405
9521856438301070
10120021121355013
113527374307390a
1211564a9284a999
1351c7c35221388
14218d0a625267b
15dd2058a74c43
hex6d28984dcd05

120021121355013 has 96 divisors (see below), whose sum is σ = 187628911142400. Its totient is φ = 73740373217280.

The previous prime is 120021121355011. The next prime is 120021121355041. The reversal of 120021121355013 is 310553121120021.

120021121355013 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 1 + 121 + 35 + 501 + 3 = 666.

It is not a de Polignac number, because 120021121355013 - 21 = 120021121355011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021121355011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265425688 + ... + 265877486.

It is an arithmetic number, because the mean of its divisors is an integer number (1954467824400).

Almost surely, 2120021121355013 is an apocalyptic number.

It is an amenable number.

120021121355013 is a deficient number, since it is larger than the sum of its proper divisors (67607789787387).

120021121355013 is a wasteful number, since it uses less digits than its factorization.

120021121355013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452259 (or 452256 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 120021121355013 its reverse (310553121120021), we get a palindrome (430574242475034).

The spelling of 120021121355013 in words is "one hundred twenty trillion, twenty-one billion, one hundred twenty-one million, three hundred fifty-five thousand, thirteen".

Divisors: 1 3 9 23 41 69 113 123 207 277 339 369 831 943 1017 2493 2599 2829 4633 6371 7797 8487 11357 13899 19113 23391 31301 34071 41697 57339 93903 102213 106559 261211 281709 319677 451799 719923 783633 959031 1283341 1355397 2159769 2350899 3850023 4066191 6479307 10391377 11550069 18523759 29516843 31174131 51053287 55571277 88550529 93522393 125148323 153159861 166713831 265651587 375444969 426046457 459479583 1126334907 1174225601 1278139371 2093184767 2878411429 3522676803 3834418113 5131081243 6279554301 8635234287 10568030409 14141760499 15393243729 18838662903 25905702861 42425281497 46179731187 48143249641 118014868589 127275844491 144429748923 325260491477 354044605767 433289246769 579812180459 975781474431 1062133817301 1739436541377 2927344423293 5218309624131 13335680150557 40007040451671 120021121355013