Search a number
-
+
12002012000233 = 37109137139915527
BaseRepresentation
bin1010111010100110111110…
…1010010110111111101001
31120111101021212000022020121
42232221233222112333221
53033120110033001413
641305352002123241
72346055021514263
oct256515752267751
946441255008217
1012002012000233
11390802a978412
12141a0a1650521
13690a284a9078
142d6c86cbcb33
1515c2ee8a3b8d
hexaea6fa96fe9

12002012000233 has 32 divisors (see below), whose sum is σ = 12540040128000. Its totient is φ = 11477093451264.

The previous prime is 12002012000203. The next prime is 12002012000311. The reversal of 12002012000233 is 33200021020021.

It is a cyclic number.

It is not a de Polignac number, because 12002012000233 - 225 = 12001978445801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002012000203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772969116 + ... + 772984642.

It is an arithmetic number, because the mean of its divisors is an integer number (391876254000).

Almost surely, 212002012000233 is an apocalyptic number.

It is an amenable number.

12002012000233 is a deficient number, since it is larger than the sum of its proper divisors (538028127767).

12002012000233 is a wasteful number, since it uses less digits than its factorization.

12002012000233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17209.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12002012000233 its reverse (33200021020021), we get a palindrome (45202033020254).

The spelling of 12002012000233 in words is "twelve trillion, two billion, twelve million, two hundred thirty-three", and thus it is an aban number.

Divisors: 1 37 109 137 1399 4033 5069 14933 15527 51763 152491 191663 552521 574499 1692443 2127199 5642167 7091531 20891267 21722273 62620391 78706363 231864691 772976879 803724101 2367727757 2975951401 8578993567 87605927009 110110201837 324378702709 12002012000233