Search a number
-
+
2121200033300 = 2252170912411937
BaseRepresentation
bin11110110111100001010…
…111111101111000010100
321111210012002002110200022
4132313201113331320110
5234223204202031200
64302244342204312
7306152212534565
oct36674127757024
97453162073608
102121200033300
11748661134767
122a3129723698
1312504a2550ca
147494933416c
153a29d4c8885
hex1ede15fde14

2121200033300 has 36 divisors (see below), whose sum is σ = 4605697833660. Its totient is φ = 847983467520.

The previous prime is 2121200033279. The next prime is 2121200033371. The reversal of 2121200033300 is 33300021212.

It can be written as a sum of positive squares in 6 ways, for example, as 631789701904 + 1489410331396 = 794852^2 + 1220414^2 .

It is a super-2 number, since 2×21212000333002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6035069 + ... + 6376868.

It is an arithmetic number, because the mean of its divisors is an integer number (127936050935).

Almost surely, 22121200033300 is an apocalyptic number.

2121200033300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121200033300 is an abundant number, since it is smaller than the sum of its proper divisors (2484497800360).

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

2121200033300 is a wasteful number, since it uses less digits than its factorization.

2121200033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12413660 (or 12413653 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2121200033300 its reverse (33300021212), we get a palindrome (2154500054512).

The spelling of 2121200033300 in words is "two trillion, one hundred twenty-one billion, two hundred million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1709 3418 6836 8545 17090 34180 42725 85450 170900 12411937 24823874 49647748 62059685 124119370 248238740 310298425 620596850 1241193700 21212000333 42424000666 84848001332 106060001665 212120003330 424240006660 530300008325 1060600016650 2121200033300