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321313211030021 = 71721931760735449
BaseRepresentation
bin100100100001110111000111…
…1110011100001101000000101
31120010200020120010122101222012
41021003232033303201220011
5314103343424010430041
63055213130144144005
7124452053622215030
oct11103561763415005
91503606503571865
10321313211030021
1193420193010081
12300547a0308005
1310a399238015c2
14594b8dca1c017
1527231623543eb
hex1243b8fce1a05

321313211030021 has 96 divisors (see below), whose sum is σ = 423930906624000. Its totient is φ = 237608499824640.

The previous prime is 321313211030011. The next prime is 321313211030041. The reversal of 321313211030021 is 120030112313123.

It is not a de Polignac number, because 321313211030021 - 26 = 321313211029957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321313211030011) 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 95 ways as a sum of consecutive naturals, for example, 9064080305 + ... + 9064115753.

It is an arithmetic number, because the mean of its divisors is an integer number (4415946944000).

Almost surely, 2321313211030021 is an apocalyptic number.

321313211030021 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

321313211030021 is a deficient number, since it is larger than the sum of its proper divisors (102617695593979).

321313211030021 is a wasteful number, since it uses less digits than its factorization.

321313211030021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43147 (or 43130 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 321313211030021 its reverse (120030112313123), we get a palindrome (441343323343144).

The spelling of 321313211030021 in words is "three hundred twenty-one trillion, three hundred thirteen billion, two hundred eleven million, thirty thousand, twenty-one".

Divisors: 1 7 17 19 31 119 133 217 289 323 527 589 2023 2261 3689 4123 5491 7607 8959 10013 35449 38437 53249 62713 70091 129319 144533 170221 235817 248143 602633 673531 905233 1011731 1098919 1191547 1650719 2198423 2457061 4008889 4218431 4480523 4714717 7692433 10244761 11450027 15388961 17199427 18681623 20879461 28062223 31363661 41770037 68151113 71713327 76168891 80150189 130771361 146156227 194650459 269660543 292390259 317587591 354950837 477057791 533182237 1294871147 1362553213 1887623801 2223113137 2484655859 4584229231 5123550317 6034164229 8359476833 9064098029 32089604617 35864852219 42239149603 58516337831 77931896927 87100355389 142111106161 158830059827 545523278489 609702487723 994777743127 1111810418789 1480706041613 2415888804737 2700111017059 10364942291291 16911221633159 18900777119413 45901887290003 321313211030021