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1311021322002 = 232722745836701
BaseRepresentation
bin10011000100111110111…
…101011100111100010010
311122022222022220121202100
4103010332331130330102
5132434432424301002
62442135212501230
7163501221240450
oct23047675347422
94568868817670
101311021322002
114660013a3577
1219210247a816
1396823578b52
144764d2099d0
15241817c711c
hex1313ef5cf12

1311021322002 has 48 divisors (see below), whose sum is σ = 3260639633472. Its totient is φ = 372927391200.

The previous prime is 1311021322001. The next prime is 1311021322021. The reversal of 1311021322002 is 2002231201131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1311021322001) 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 23 ways as a sum of consecutive naturals, for example, 22889749 + ... + 22946952.

It is an arithmetic number, because the mean of its divisors is an integer number (67929992364).

Almost surely, 21311021322002 is an apocalyptic number.

1311021322002 is an abundant number, since it is smaller than the sum of its proper divisors (1949618311470).

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

1311021322002 is a wasteful number, since it uses less digits than its factorization.

1311021322002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45836943 (or 45836940 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1311021322002 its reverse (2002231201131), we get a palindrome (3313252523133).

The spelling of 1311021322002 in words is "one trillion, three hundred eleven billion, twenty-one million, three hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 227 454 681 1362 1589 2043 3178 4086 4767 9534 14301 28602 45836701 91673402 137510103 275020206 320856907 412530309 641713814 825060618 962570721 1925141442 2887712163 5775424326 10404931127 20809862254 31214793381 62429586762 72834517889 93644380143 145669035778 187288760286 218503553667 437007107334 655510661001 1311021322002