Search a number
-
+
220321112130 = 2345745785027
BaseRepresentation
bin1100110100110000101…
…0010110000001000010
3210001200120001010210000
43031030022112001002
512102204201042010
6245114130020430
721626522360610
oct3151412260102
9701616033700
10220321112130
118548a584549
1236849117716
1317a123a7292
14a940cb46b0
155ae74be7c0
hex334c296042

220321112130 has 160 divisors (see below), whose sum is σ = 678539765376. Its totient is φ = 50248325376.

The previous prime is 220321112129. The next prime is 220321112131. The reversal of 220321112130 is 31211123022.

220321112130 is a `hidden beast` number, since 220 + 321 + 1 + 121 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220321112129) and next prime (220321112131).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220321112131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2548677 + ... + 2633703.

Almost surely, 2220321112130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220321112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339269882688).

220321112130 is an abundant number, since it is smaller than the sum of its proper divisors (458218653246).

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

220321112130 is a wasteful number, since it uses less digits than its factorization.

220321112130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85510 (or 85501 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220321112130 its reverse (31211123022), we get a palindrome (251532235152).

The spelling of 220321112130 in words is "two hundred twenty billion, three hundred twenty-one million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 457 567 630 810 914 945 1134 1371 1890 2285 2742 2835 3199 4113 4570 5670 6398 6855 8226 9597 12339 13710 15995 19194 20565 24678 28791 31990 37017 41130 47985 57582 61695 74034 85027 86373 95970 123390 143955 170054 172746 185085 255081 259119 287910 370170 425135 431865 510162 518238 595189 765243 850270 863730 1190378 1275405 1295595 1530486 1785567 2295729 2550810 2591190 2975945 3571134 3826215 4591458 5356701 5951890 6887187 7652430 8927835 10713402 11478645 13774374 16070103 17855670 22957290 26783505 32140206 34435935 38857339 48210309 53567010 68871870 77714678 80350515 96420618 116572017 160701030 194286695 233144034 241051545 272001373 349716051 388573390 482103090 544002746 582860085 699432102 816004119 1049148153 1165720170 1360006865 1632008238 1748580255 2098296306 2448012357 2720013730 3147444459 3497160510 4080020595 4896024714 5245740765 6294888918 7344037071 8160041190 10491481530 12240061785 14688074142 15737222295 22032111213 24480123570 31474444590 36720185355 44064222426 73440370710 110160556065 220321112130