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3120010020 = 22325173100193
BaseRepresentation
bin1011100111110111…
…1001001100100100
322001102211221010200
42321331321030210
522342210310040
61233332350500
7140213435061
oct27175711444
98042757120
103120010020
111361189786
12730a75430
133a9512b9a
14218525c68
15133d9c630
hexb9f79324

3120010020 has 72 divisors (see below), whose sum is σ = 9518830776. Its totient is φ = 827185152.

The previous prime is 3120010009. The next prime is 3120010027. The reversal of 3120010020 is 200100213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1362052836 + 1757957184 = 36906^2 + 41928^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3120009984 and 3120010011.

It is not an unprimeable number, because it can be changed into a prime (3120010027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18957 + ... + 81236.

It is an arithmetic number, because the mean of its divisors is an integer number (132205983).

Almost surely, 23120010020 is an apocalyptic number.

3120010020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3120010020 is an abundant number, since it is smaller than the sum of its proper divisors (6398820756).

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

3120010020 is a wasteful number, since it uses less digits than its factorization.

3120010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100381 (or 100376 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3120010020 is about 55857.0498683917. The cubic root of 3120010020 is about 1461.2302790750.

Adding to 3120010020 its reverse (200100213), we get a palindrome (3320110233).

The spelling of 3120010020 in words is "three billion, one hundred twenty million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 7785 10380 15570 31140 100193 200386 300579 400772 500965 601158 901737 1001930 1202316 1502895 1803474 2003860 3005790 3606948 4508685 6011580 9017370 17333389 18034740 34666778 52000167 69333556 86666945 104000334 156000501 173333890 208000668 260000835 312001002 346667780 520001670 624002004 780002505 1040003340 1560005010 3120010020