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321313011132 = 223375361223841
BaseRepresentation
bin1001010110011111011…
…11110111010110111100
31010201100212010011122210
410223033233313112330
520231022112324012
6403335324540420
732133302350131
oct4531757672674
91121325104583
10321313011132
111142a48aaa93
12523330b1710
13243b85487b9
14117a1974588
15855883a23c
hex4acfbf75bc

321313011132 has 96 divisors (see below), whose sum is σ = 797386089024. Its totient is φ = 100566835200.

The previous prime is 321313011119. The next prime is 321313011143. The reversal of 321313011132 is 231110313123.

It is a happy number.

It is a super-2 number, since 2×3213130111322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321313011099 and 321313011108.

It is a congruent number.

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, 1323532 + ... + 1547372.

It is an arithmetic number, because the mean of its divisors is an integer number (8306105094).

Almost surely, 2321313011132 is an apocalyptic number.

It is an amenable number.

321313011132 is an abundant number, since it is smaller than the sum of its proper divisors (476073077892).

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

321313011132 is a wasteful number, since it uses less digits than its factorization.

321313011132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223999 (or 223997 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 321313011132 its reverse (231110313123), we get a palindrome (552423324255).

The spelling of 321313011132 in words is "three hundred twenty-one billion, three hundred thirteen million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 53 61 74 106 111 122 148 159 183 212 222 244 318 366 444 636 732 1961 2257 3233 3922 4514 5883 6466 6771 7844 9028 9699 11766 12932 13542 19398 23532 27084 38796 119621 223841 239242 358863 447682 478484 671523 717726 895364 1343046 1435452 2686092 8282117 11863573 13654301 16564234 23727146 24846351 27308602 33128468 35590719 40962903 47454292 49692702 54617204 71181438 81925806 99385404 142362876 163851612 438952201 505209137 723677953 877904402 1010418274 1316856603 1447355906 1515627411 1755808804 2020836548 2171033859 2633713206 2894711812 3031254822 4342067718 5267426412 6062509644 8684135436 26776084261 53552168522 80328252783 107104337044 160656505566 321313011132