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3123013120 = 2953732971
BaseRepresentation
bin1011101000100101…
…0110011000000000
322001122111111121121
42322021112120000
522343442404440
61233521002024
7140251113343
oct27211263000
98048444547
103123013120
11136294aa87
12731a83314
133aa024a76
14218aa845a
1513429234a
hexba256600

3123013120 has 80 divisors (see below), whose sum is σ = 7690521168. Its totient is φ = 1215406080.

The previous prime is 3123013111. The next prime is 3123013121. The reversal of 3123013120 is 213103213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3123013094 and 3123013103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123013121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78235 + ... + 111205.

Almost surely, 23123013120 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 3123013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845260584).

3123013120 is an abundant number, since it is smaller than the sum of its proper divisors (4567508048).

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

3123013120 is an equidigital number, since it uses as much as digits as its factorization.

3123013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33031 (or 33015 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3123013120 is about 55883.9254168853. The cubic root of 3123013120 is about 1461.6989542230.

Adding to 3123013120 its reverse (213103213), we get a palindrome (3336116333).

The spelling of 3123013120 in words is "three billion, one hundred twenty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1184 1280 1480 2368 2560 2960 4736 5920 9472 11840 18944 23680 32971 47360 65942 94720 131884 164855 263768 329710 527536 659420 1055072 1219927 1318840 2110144 2439854 2637680 4220288 4879708 5275360 6099635 8440576 9759416 10550720 12199270 16881152 19518832 21101440 24398540 39037664 42202880 48797080 78075328 84405760 97594160 156150656 195188320 312301312 390376640 624602624 780753280 1561506560 3123013120