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3123022020 = 22351915717449
BaseRepresentation
bin1011101000100101…
…1000100011000100
322001122111221211020
42322021120203010
522343443201040
61233521111140
7140251151316
oct27211304304
98048457736
103123022020
111362956738
12731a884b0
133aa028b31
14218aab7b6
15134294cd0
hexba2588c4

3123022020 has 96 divisors (see below), whose sum is σ = 9263856000. Its totient is φ = 783903744.

The previous prime is 3123022013. The next prime is 3123022061. The reversal of 3123022020 is 202203213.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170256 + ... + 187704.

It is an arithmetic number, because the mean of its divisors is an integer number (96498500).

Almost surely, 23123022020 is an apocalyptic number.

3123022020 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 3123022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631928000).

3123022020 is an abundant number, since it is smaller than the sum of its proper divisors (6140833980).

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

3123022020 is a wasteful number, since it uses less digits than its factorization.

3123022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17637 (or 17635 counting only the distinct ones).

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

The square root of 3123022020 is about 55884.0050461668. The cubic root of 3123022020 is about 1461.7003427440.

Adding to 3123022020 its reverse (202203213), we get a palindrome (3325225233).

The spelling of 3123022020 in words is "three billion, one hundred twenty-three million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 157 190 228 285 314 380 471 570 628 785 942 1140 1570 1884 2355 2983 3140 4710 5966 8949 9420 11932 14915 17449 17898 29830 34898 35796 44745 52347 59660 69796 87245 89490 104694 174490 178980 209388 261735 331531 348980 523470 663062 994593 1046940 1326124 1657655 1989186 2739493 3315310 3978372 4972965 5478986 6630620 8218479 9945930 10957972 13697465 16436958 19891860 27394930 32873916 41092395 52050367 54789860 82184790 104100734 156151101 164369580 208201468 260251835 312302202 520503670 624604404 780755505 1041007340 1561511010 3123022020