Search a number
-
+
130221002233332 = 22332415647885977
BaseRepresentation
bin11101100110111101110000…
…100101001001010111110100
3122002002000011112200222012000
4131212331300211021113310
5114032020103032431312
61140542411430455300
736300104554534443
oct3546756045112764
9562060145628160
10130221002233332
11385464649a715a
1212731852204530
135787a31abb85a
142422a316d4d5a
15100c53175badc
hex766f709495f4

130221002233332 has 96 divisors (see below), whose sum is σ = 339071293693440. Its totient is φ = 43219185085440.

The previous prime is 130221002233321. The next prime is 130221002233373. The reversal of 130221002233332 is 233332200122031.

130221002233332 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 100 + 223 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130221002233296 and 130221002233305.

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, 146537128 + ... + 147423104.

It is an arithmetic number, because the mean of its divisors is an integer number (3531992642640).

Almost surely, 2130221002233332 is an apocalyptic number.

130221002233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130221002233332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169535646846720).

130221002233332 is an abundant number, since it is smaller than the sum of its proper divisors (208850291460108).

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

130221002233332 is a wasteful number, since it uses less digits than its factorization.

130221002233332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891878 (or 891870 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 130221002233332 its reverse (233332200122031), we get a palindrome (363553202355363).

The spelling of 130221002233332 in words is "one hundred thirty trillion, two hundred twenty-one billion, two million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 482 723 964 1446 2169 2892 4338 5647 6507 8676 11294 13014 16941 22588 26028 33882 50823 67764 101646 152469 203292 304938 609876 885977 1360927 1771954 2657931 2721854 3543908 4082781 5315862 5443708 7973793 8165562 10631724 12248343 15947586 16331124 23921379 24496686 31895172 36745029 47842758 48993372 73490058 95685516 146980116 213520457 427040914 640561371 854081828 1281122742 1921684113 2562245484 3843368226 5003112119 5765052339 7686736452 10006224238 11530104678 15009336357 20012448476 23060209356 30018672714 45028009071 60037345428 90056018142 135084027213 180112036284 270168054426 540336108852 1205750020679 2411500041358 3617250062037 4823000082716 7234500124074 10851750186111 14469000248148 21703500372222 32555250558333 43407000744444 65110501116666 130221002233332