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3123002220 = 22351314472767
BaseRepresentation
bin1011101000100101…
…0011101101101100
322001122110221122220
42322021103231230
522343442032340
61233520435340
7140251036512
oct27211235554
98048427586
103123002220
111362942878
12731a78b50
133aa01cb10
14218aa44b2
1513428ded0
hexba253b6c

3123002220 has 96 divisors (see below), whose sum is σ = 9426966528. Its totient is φ = 767930112.

The previous prime is 3123002209. The next prime is 3123002251. The reversal of 3123002220 is 222003213.

It is a super-2 number, since 2×31230022202 = 19506285732249856800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3123002220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127277 + ... + 1130043.

It is an arithmetic number, because the mean of its divisors is an integer number (98197568).

Almost surely, 23123002220 is an apocalyptic number.

3123002220 is a gapful number since it is divisible by the number (30) 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 3123002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713483264).

3123002220 is an abundant number, since it is smaller than the sum of its proper divisors (6303964308).

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

3123002220 is a wasteful number, since it uses less digits than its factorization.

3123002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3123002220 is about 55883.8278932286. The cubic root of 3123002220 is about 1461.6972536711.

Adding to 3123002220 its reverse (222003213), we get a palindrome (3345005433).

The spelling of 3123002220 in words is "three billion, one hundred twenty-three million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1447 2767 2894 4341 5534 5788 7235 8301 8682 11068 13835 14470 16602 17364 18811 21705 27670 28940 33204 35971 37622 41505 43410 55340 56433 71942 75244 83010 86820 94055 107913 112866 143884 166020 179855 188110 215826 225732 282165 359710 376220 431652 539565 564330 719420 1079130 1128660 2158260 4003849 8007698 12011547 16015396 20019245 24023094 40038490 48046188 52050037 60057735 80076980 104100074 120115470 156150111 208200148 240230940 260250185 312300222 520500370 624600444 780750555 1041000740 1561501110 3123002220