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2121180936 = 233714998423
BaseRepresentation
bin111111001101110…
…1010011100001000
312110211101011012220
41332123222130020
513321010242221
6550252134040
7103364511660
oct17633523410
95424334186
102121180936
119993956a6
124b2467320
1327a5c5964
14161a011a0
15c634d0c6
hex7e6ea708

2121180936 has 64 divisors (see below), whose sum is σ = 6065280000. Its totient is φ = 605575488.

The previous prime is 2121180931. The next prime is 2121180949. The reversal of 2121180936 is 6390811212.

It is a junction number, because it is equal to n+sod(n) for n = 2121180897 and 2121180906.

It is not an unprimeable number, because it can be changed into a prime (2121180931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247621 + ... + 256043.

It is an arithmetic number, because the mean of its divisors is an integer number (94770000).

Almost surely, 22121180936 is an apocalyptic number.

It is an amenable number.

2121180936 is an abundant number, since it is smaller than the sum of its proper divisors (3944099064).

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

2121180936 is a wasteful number, since it uses less digits than its factorization.

2121180936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2121180936 is about 46056.2800929472. The cubic root of 2121180936 is about 1284.8701461035.

The spelling of 2121180936 in words is "two billion, one hundred twenty-one million, one hundred eighty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1499 2998 4497 5996 8423 8994 10493 11992 16846 17988 20986 25269 31479 33692 35976 41972 50538 58961 62958 67384 83944 101076 117922 125916 176883 202152 235844 251832 353766 471688 707532 1415064 12626077 25252154 37878231 50504308 75756462 88382539 101008616 151512924 176765078 265147617 303025848 353530156 530295234 707060312 1060590468 2121180936