Search a number
-
+
3121305146231 = 291071005899177
BaseRepresentation
bin101101011010111100010…
…010001101001101110111
3102001101122010022011222212
4231122330102031031313
5402114413104134411
610345524025444035
7441335564662406
oct55327422151567
912041563264885
103121305146231
11aa3813423548
12424b1a94061b
1319845123473c
14ab1016dd63d
15562d40a468b
hex2d6bc48d377

3121305146231 has 8 divisors (see below), whose sum is σ = 3259113336720. Its totient is φ = 2985508754368.

The previous prime is 3121305146221. The next prime is 3121305146263. The reversal of 3121305146231 is 1326415031213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3121305146231 is a prime.

It is a super-3 number, since 3×31213051462313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121305146221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502946486 + ... + 502952691.

It is an arithmetic number, because the mean of its divisors is an integer number (407389167090).

Almost surely, 23121305146231 is an apocalyptic number.

3121305146231 is a deficient number, since it is larger than the sum of its proper divisors (137808190489).

3121305146231 is a wasteful number, since it uses less digits than its factorization.

3121305146231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005899313.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 3121305146231 in words is "three trillion, one hundred twenty-one billion, three hundred five million, one hundred forty-six thousand, two hundred thirty-one".

Divisors: 1 29 107 3103 1005899177 29171076133 107631211939 3121305146231