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3121003020 = 22351012412137
BaseRepresentation
bin1011101000000110…
…1011101000001100
322001111201101021110
42322001223220030
522342434044040
61233405532020
7140225042112
oct27201535014
98044641243
103121003020
1113617a7843
12731274010
133a979cb65
14218703ab2
15133ee6980
hexba06ba0c

3121003020 has 96 divisors (see below), whose sum is σ = 8866097856. Its totient is φ = 820224000.

The previous prime is 3121003007. The next prime is 3121003031. The reversal of 3121003020 is 203001213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3121002987 and 3121003005.

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, 1459392 + ... + 1461528.

It is an arithmetic number, because the mean of its divisors is an integer number (92355186).

Almost surely, 23121003020 is an apocalyptic number.

3121003020 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 3121003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433048928).

3121003020 is an abundant number, since it is smaller than the sum of its proper divisors (5745094836).

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

3121003020 is a wasteful number, since it uses less digits than its factorization.

3121003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3121003020 is about 55865.9379228524. The cubic root of 3121003020 is about 1461.3852836796.

Adding to 3121003020 its reverse (203001213), we get a palindrome (3324004233).

The spelling of 3121003020 in words is "three billion, one hundred twenty-one million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 241 303 404 482 505 606 723 964 1010 1205 1212 1446 1515 2020 2137 2410 2892 3030 3615 4274 4820 6060 6411 7230 8548 10685 12822 14460 21370 24341 25644 32055 42740 48682 64110 73023 97364 121705 128220 146046 215837 243410 292092 365115 431674 486820 515017 647511 730230 863348 1030034 1079185 1295022 1460460 1545051 2060068 2158370 2575085 2590044 3090102 3237555 4316740 5150170 6180204 6475110 7725255 10300340 12950220 15450510 30901020 52016717 104033434 156050151 208066868 260083585 312100302 520167170 624200604 780250755 1040334340 1560501510 3121003020