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2312400122013 = 3173159711013457
BaseRepresentation
bin100001101001100101110…
…010011011000010011101
322012001201010210100021110
4201221211302123002131
5300341243412401023
64530145115452233
7326031300504552
oct41514562330235
98161633710243
102312400122013
11811757648303
123141aa157079
1313a09b3ac787
147dcc6806a29
154023e0e6a93
hex21a65c9b09d

2312400122013 has 128 divisors (see below), whose sum is σ = 3510681108480. Its totient is φ = 1347010560000.

The previous prime is 2312400122003. The next prime is 2312400122023. The reversal of 2312400122013 is 3102210042132.

It is an interprime number because it is at equal distance from previous prime (2312400122003) and next prime (2312400122023).

It is not a de Polignac number, because 2312400122013 - 29 = 2312400121501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312400122003) 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, 668901981 + ... + 668905437.

It is an arithmetic number, because the mean of its divisors is an integer number (27427196160).

Almost surely, 22312400122013 is an apocalyptic number.

It is an amenable number.

2312400122013 is a deficient number, since it is larger than the sum of its proper divisors (1198280986467).

2312400122013 is a wasteful number, since it uses less digits than its factorization.

2312400122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2312400122013 its reverse (3102210042132), we get a palindrome (5414610164145).

The spelling of 2312400122013 in words is "two trillion, three hundred twelve billion, four hundred million, one hundred twenty-two thousand, thirteen".

Divisors: 1 3 17 31 51 59 71 93 101 177 213 303 527 1003 1207 1581 1717 1829 2201 3009 3131 3457 3621 4189 5151 5487 5959 6603 7171 9393 10371 12567 17877 21513 31093 37417 53227 58769 71213 93279 101303 107167 112251 121907 129859 159681 176307 184729 203963 213639 222301 245447 303909 321501 349157 365721 389577 423089 554187 611889 666903 736341 1047471 1269267 1821839 2207603 3140393 3467371 3779117 4172599 5465517 5935669 6322853 6622809 7192513 7608857 9421179 10402113 10823867 11337351 12517797 13115759 14481373 17807007 18968559 20600263 21577539 22826571 24790147 32471601 39347277 43444119 61800789 74370441 107488501 129350569 184005739 222967903 246183341 322465503 350204471 388051707 421432499 448922563 552017217 638608153 668903709 738550023 768494557 1050613413 1264297497 1346767689 1462618673 1915824459 2305483671 4387856019 7631683571 10856338601 13064407469 22895050713 24864517441 32569015803 39193222407 45341178863 74593552323 136023536589 770800040671 2312400122013