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3123132220 = 22513171937189
BaseRepresentation
bin1011101000100111…
…0011011100111100
322001122201112222201
42322021303130330
522344010212340
61233523321244
7140252120515
oct27211633474
98048645881
103123132220
111362a2150a
12731b20224
133aa067040
14218ad9a0c
151342b779a
hexba27373c

3123132220 has 96 divisors (see below), whose sum is σ = 7872379200. Its totient is φ = 1028173824.

The previous prime is 3123132193. The next prime is 3123132241. The reversal of 3123132220 is 222313213.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 65386 + ... + 102574.

It is an arithmetic number, because the mean of its divisors is an integer number (82003950).

Almost surely, 23123132220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936189600).

3123132220 is an abundant number, since it is smaller than the sum of its proper divisors (4749246980).

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

3123132220 is a wasteful number, since it uses less digits than its factorization.

3123132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37247 (or 37245 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3123132220 is about 55884.9910083199. The cubic root of 3123132220 is about 1461.7175352243.

Adding to 3123132220 its reverse (222313213), we get a palindrome (3345445433).

The spelling of 3123132220 in words is "three billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 76 85 95 130 170 190 221 247 260 323 340 380 442 494 646 884 988 1105 1235 1292 1615 2210 2470 3230 4199 4420 4940 6460 8398 16796 20995 37189 41990 74378 83980 148756 185945 371890 483457 632213 706591 743780 966914 1264426 1413182 1933828 2417285 2528852 2826364 3161065 3532955 4834570 6322130 7065910 8218769 9185683 9669140 12012047 12644260 14131820 16437538 18371366 24024094 32875076 36742732 41093845 45928415 48048188 60060235 82187690 91856830 120120470 156156611 164375380 183713660 240240940 312313222 624626444 780783055 1561566110 3123132220