Search a number
-
+
321313421220 = 223511244258047
BaseRepresentation
bin1001010110011111100…
…01011011011110100100
31010201100212220000012020
410223033301123132210
520231022213434340
6403335341423140
732133306005541
oct4531761333644
91121325800166
10321313421220
111142a5060100
125233326aab0
13243b866035c
14117a1a3dbc8
1585588bb9d0
hex4acfc5b7a4

321313421220 has 72 divisors (see below), whose sum is σ = 988901824512. Its totient is φ = 77894160960.

The previous prime is 321313421207. The next prime is 321313421291. The reversal of 321313421220 is 22124313123.

It is a super-2 number, since 2×3213134212202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22121764 + ... + 22136283.

Almost surely, 2321313421220 is an apocalyptic number.

321313421220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321313421220 is an abundant number, since it is smaller than the sum of its proper divisors (667588403292).

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

321313421220 is a wasteful number, since it uses less digits than its factorization.

321313421220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44258081 (or 44258068 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 321313421220 its reverse (22124313123), we get a palindrome (343437734343).

The spelling of 321313421220 in words is "three hundred twenty-one billion, three hundred thirteen million, four hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 44258047 88516094 132774141 177032188 221290235 265548282 442580470 486838517 531096564 663870705 885160940 973677034 1327741410 1460515551 1947354068 2434192585 2655482820 2921031102 4868385170 5355223687 5842062204 7302577755 9736770340 10710447374 14605155510 16065671061 21420894748 26776118435 29210311020 32131342122 53552236870 64262684244 80328355305 107104473740 160656710610 321313421220