Search a number
-
+
321410242214220 = 223523232905972619
BaseRepresentation
bin100100100010100100010011…
…1010100000111100101001100
31120011000112000101221021120010
41021011020213110013211030
5314111441134001323340
63055325454335153220
7124462060266530625
oct11105104724074514
91504015011837503
10321410242214220
11934583556449a5
123006b55b975810
1310a45b182277b3
1459524a5672a4c
152725940b09b80
hex124522750794c

321410242214220 has 48 divisors (see below), whose sum is σ = 939076881603840. Its totient is φ = 81982902361536.

The previous prime is 321410242214209. The next prime is 321410242214263. The reversal of 321410242214220 is 22412242014123.

It is a super-3 number, since 3×3214102422142203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116452984930 + ... + 116452987689.

It is an arithmetic number, because the mean of its divisors is an integer number (19564101700080).

Almost surely, 2321410242214220 is an apocalyptic number.

321410242214220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321410242214220 is an abundant number, since it is smaller than the sum of its proper divisors (617666639389620).

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

321410242214220 is a wasteful number, since it uses less digits than its factorization.

321410242214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232905972654 (or 232905972652 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 321410242214220 its reverse (22412242014123), we get a palindrome (343822484228343).

The spelling of 321410242214220 in words is "three hundred twenty-one trillion, four hundred ten billion, two hundred forty-two million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 232905972619 465811945238 698717917857 931623890476 1164529863095 1397435835714 2329059726190 2794871671428 3493589589285 4658119452380 5356837370237 6987179178570 10713674740474 13974358357140 16070512110711 21427349480948 26784186851185 32141024221422 53568373702370 64282048442844 80352560553555 107136747404740 160705121107110 321410242214220