Search a number
-
+
634162012131 = 323312512694391
BaseRepresentation
bin10010011101001110000…
…00000101111111100011
32020121212211201002011210
421032213000011333203
540342230433342011
61203155140441203
763550061110014
oct11164700057743
92217784632153
10634162012131
11224a45a1797a
12a2aa36a9203
1347a5538a57b
142299d37700b
15117690706a6
hex93a7005fe3

634162012131 has 64 divisors (see below), whose sum is σ = 918010920960. Its totient is φ = 388251600000.

The previous prime is 634162012093. The next prime is 634162012181. The reversal of 634162012131 is 131210261436.

634162012131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 634162012131 - 29 = 634162011619 is a prime.

It is a super-2 number, since 2×6341620121312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (634162012181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144420946 + ... + 144425336.

It is an arithmetic number, because the mean of its divisors is an integer number (14343920640).

Almost surely, 2634162012131 is an apocalyptic number.

634162012131 is a deficient number, since it is larger than the sum of its proper divisors (283848908829).

634162012131 is a wasteful number, since it uses less digits than its factorization.

634162012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 634162012131 its reverse (131210261436), we get a palindrome (765372273567).

The spelling of 634162012131 in words is "six hundred thirty-four billion, one hundred sixty-two million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 23 31 69 93 251 269 713 753 807 2139 4391 5773 6187 7781 8339 13173 17319 18561 23343 25017 67519 100993 136121 178963 191797 202557 302979 408363 536889 575391 1102141 1181179 1552937 2093089 3130783 3306423 3543537 4658811 6279267 9392349 25349243 27167117 34166371 36616549 48141047 76047729 81501351 102499113 109849647 144423141 296475929 785826533 842180627 889427787 2357479599 2526541881 6818946367 9190753799 20456839101 27572261397 211387337377 634162012131