Search a number
-
+
12121676415310 = 2571115742436903
BaseRepresentation
bin1011000001100100110000…
…1101111000000101001110
31120220211011110201102202211
42300121030031320011032
53042100143130242220
641440342105541034
72360522304331060
oct260311415700516
946824143642684
1012121676415310
113953857363620
121439318aa477a
1369c0b8cb6577
142dc99982b730
151604a516bb5a
hexb064c37814e

12121676415310 has 32 divisors (see below), whose sum is σ = 27202930970112. Its totient is φ = 3778184856480.

The previous prime is 12121676415281. The next prime is 12121676415353. The reversal of 12121676415310 is 1351467612121.

It is a super-2 number, since 2×121216764153102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7871217682 + ... + 7871219221.

It is an arithmetic number, because the mean of its divisors is an integer number (850091592816).

Almost surely, 212121676415310 is an apocalyptic number.

12121676415310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121676415310 is an abundant number, since it is smaller than the sum of its proper divisors (15081254554802).

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

12121676415310 is a wasteful number, since it uses less digits than its factorization.

12121676415310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15742436928.

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 12121676415310 in words is "twelve trillion, one hundred twenty-one billion, six hundred seventy-six million, four hundred fifteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 15742436903 31484873806 78712184515 110197058321 157424369030 173166805933 220394116642 346333611866 550985291605 865834029665 1101970583210 1212167641531 1731668059330 2424335283062 6060838207655 12121676415310