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1311413301330 = 2351114532735017
BaseRepresentation
bin10011000101010110010…
…100101111000001010010
311122100222122111020022020
4103011112110233001102
5132441233301120310
62442242134152310
7163514021065356
oct23052624570122
94570878436266
101311413301330
11466192690430
121921b17b2696
139688683c792
14476892c3466
15241a5e04170
hex1315652f052

1311413301330 has 64 divisors (see below), whose sum is σ = 3435882772608. Its totient is φ = 317699458560.

The previous prime is 1311413301323. The next prime is 1311413301347. The reversal of 1311413301330 is 331033141131.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311413301330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888019 + ... + 1846998.

It is an arithmetic number, because the mean of its divisors is an integer number (53685668322).

Almost surely, 21311413301330 is an apocalyptic number.

1311413301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311413301330 is an abundant number, since it is smaller than the sum of its proper divisors (2124469471278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311413301330 is a wasteful number, since it uses less digits than its factorization.

1311413301330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736491.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1311413301330 its reverse (331033141131), we get a palindrome (1642446442461).

The spelling of 1311413301330 in words is "one trillion, three hundred eleven billion, four hundred thirteen million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1453 2906 4359 7265 8718 14530 15983 21795 31966 43590 47949 79915 95898 159830 239745 479490 2735017 5470034 8205051 13675085 16410102 27350170 30085187 41025255 60170374 82050510 90255561 150425935 180511122 300851870 451277805 902555610 3973979701 7947959402 11921939103 19869898505 23843878206 39739797010 43713776711 59609695515 87427553422 119219391030 131141330133 218568883555 262282660266 437137767110 655706650665 1311413301330