Search a number
-
+
213130031220 = 223351723216779
BaseRepresentation
bin1100011001111110001…
…0100011000001110100
3202101010101202101021000
43012133202203001310
511442442241444340
6241524404123300
721253363242261
oct3063742430164
9671111671230
10213130031220
118242a389a77
1235380996530
131713761a912
14a45bc18268
15582600dd30
hex319f8a3074

213130031220 has 96 divisors (see below), whose sum is σ = 702075427200. Its totient is φ = 53491456512.

The previous prime is 213130031129. The next prime is 213130031239. The reversal of 213130031220 is 22130031312.

213130031220 is a `hidden beast` number, since 2 + 1 + 31 + 300 + 312 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213130031193 and 213130031202.

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, 11599210 + ... + 11617569.

It is an arithmetic number, because the mean of its divisors is an integer number (7313285700).

Almost surely, 2213130031220 is an apocalyptic number.

213130031220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213130031220 is an abundant number, since it is smaller than the sum of its proper divisors (488945395980).

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

213130031220 is a wasteful number, since it uses less digits than its factorization.

213130031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23216814 (or 23216806 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213130031220 its reverse (22130031312), we get a palindrome (235260062532).

The spelling of 213130031220 in words is "two hundred thirteen billion, one hundred thirty million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 23216779 46433558 69650337 92867116 116083895 139300674 208951011 232167790 278601348 348251685 394685243 417902022 464335580 626853033 696503370 789370486 835804044 1044755055 1184055729 1253706066 1393006740 1578740972 1973426215 2089510110 2368111458 2507412132 3134265165 3552167187 3946852430 4179020220 4736222916 5920278645 6268530330 7104334374 7893704860 10656501561 11840557290 12537060660 14208668748 17760835935 21313003122 23681114580 35521671870 42626006244 53282507805 71043343740 106565015610 213130031220