Search a number
-
+
331134122301311 = 731982761439929
BaseRepresentation
bin100101101001010100010101…
…1101110111001011101111111
31121102110010001022211121202102
41023102220223232321131333
5321400300140302120221
63132132525444215315
7126514436145524000
oct11322505356713577
91542403038747672
10331134122301311
119656721343258a
123118001769a53b
131129ca76a57364
145baad96da31a7
152843859a9530b
hex12d2a2bbb977f

331134122301311 has 32 divisors (see below), whose sum is σ = 406978096320000. Its totient is φ = 268565721754176.

The previous prime is 331134122301263. The next prime is 331134122301319. The reversal of 331134122301311 is 113103221431133.

It is not a de Polignac number, because 331134122301311 - 26 = 331134122301247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331134122301319) 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, 25330406 + ... + 36109523.

It is an arithmetic number, because the mean of its divisors is an integer number (12718065510000).

Almost surely, 2331134122301311 is an apocalyptic number.

331134122301311 is a deficient number, since it is larger than the sum of its proper divisors (75843974018689).

331134122301311 is an equidigital number, since it uses as much as digits as its factorization.

331134122301311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61440796 (or 61440782 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 331134122301311 its reverse (113103221431133), we get a palindrome (444237343732444).

The spelling of 331134122301311 in words is "three hundred thirty-one trillion, one hundred thirty-four billion, one hundred twenty-two million, three hundred one thousand, three hundred eleven".

Divisors: 1 7 19 49 133 343 827 931 5789 6517 15713 40523 109991 283661 769937 5389559 61439929 430079503 1167358651 3010556521 8171510557 21073895647 50810821283 57200573899 355675748981 400404017293 965405604377 2489730242867 6757839230639 17428111700069 47304874614473 331134122301311