Search a number
-
+
12947102322 = 2373111931971
BaseRepresentation
bin11000000111011010…
…10001101001110010
31020102022020221111020
430003231101221302
5203003424233242
65540421200310
7635561361000
oct140355215162
936368227436
1012947102322
115544335670
122613b60096
1312b44406bb
148ab719a70
1550b9a36ec
hex303b51a72

12947102322 has 256 divisors, whose sum is σ = 35831808000. Its totient is φ = 3079944000.

The previous prime is 12947102321. The next prime is 12947102383. The reversal of 12947102322 is 22320174921.

It is a super-3 number, since 3×129471023223 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12947102321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13333297 + ... + 13334267.

It is an arithmetic number, because the mean of its divisors is an integer number (139968000).

Almost surely, 212947102322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12947102322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915904000).

12947102322 is an abundant number, since it is smaller than the sum of its proper divisors (22884705678).

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

12947102322 is a wasteful number, since it uses less digits than its factorization.

12947102322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 12947102322 in words is "twelve billion, nine hundred forty-seven million, one hundred two thousand, three hundred twenty-two".