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310130202031013 = 713431011973983333
BaseRepresentation
bin100011010000011111101000…
…0100001101011001110100101
31111200002011021000021022202102
41012200333100201223032211
5311122133123204443023
63015331503054421445
7122216111342135420
oct10640772041531645
91450064230238672
10310130202031013
118a8a9530a72551
122a949389201885
13104081ca250730
14568254bbc09b7
1525cc2e9221628
hex11a0fd086b3a5

310130202031013 has 64 divisors (see below), whose sum is σ = 396444853550592. Its totient is φ = 236093680972800.

The previous prime is 310130202030941. The next prime is 310130202031061.

310130202031013 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-310130202031013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310130202031063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75865295 + ... + 79848627.

It is an arithmetic number, because the mean of its divisors is an integer number (6194450836728).

Almost surely, 2310130202031013 is an apocalyptic number.

It is an amenable number.

310130202031013 is a deficient number, since it is larger than the sum of its proper divisors (86314651519579).

310130202031013 is a wasteful number, since it uses less digits than its factorization.

310130202031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983694.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 31013020 and 2031013, that added together give a palindrome (33044033).

The spelling of 310130202031013 in words is "three hundred ten trillion, one hundred thirty billion, two hundred two million, thirty-one thousand, thirteen".

Divisors: 1 7 13 43 91 101 197 301 559 707 1313 1379 2561 3913 4343 8471 9191 17927 19897 30401 56459 59297 110123 139279 258661 395213 770861 855571 1810627 3983333 5988997 11122423 27883331 51783329 77856961 171283319 362483303 402316633 784716601 1198983233 2226683147 2816216431 5230116229 5493016207 10201315813 15586782029 17299615219 33742813843 36610813603 71409210691 79256376701 121097306533 224894997847 236199696901 438656579959 554794636907 1030332897113 1574264984929 3070596059713 3408024198143 7212330279791 23856169387001 44304314575859 310130202031013