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2310112020 = 2235372833677
BaseRepresentation
bin1000100110110001…
…1000001100010100
312221222212211221110
42021230120030110
514212342041040
61021121415020
7111150425316
oct21154301424
95858784843
102310112020
11a85aa8397
1254579a470
132aa7a59b8
1417cb417b6
15d7c1c980
hex89b18314

2310112020 has 96 divisors (see below), whose sum is σ = 6668419968. Its totient is φ = 597100032.

The previous prime is 2310112009. The next prime is 2310112067. The reversal of 2310112020 is 202110132.

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 = 2310111987 and 2310112005.

It is a congruent number.

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, 626422 + ... + 630098.

It is an arithmetic number, because the mean of its divisors is an integer number (69462708).

Almost surely, 22310112020 is an apocalyptic number.

2310112020 is a gapful number since it is divisible by the number (20) 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 2310112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334209984).

2310112020 is an abundant number, since it is smaller than the sum of its proper divisors (4358307948).

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

2310112020 is a wasteful number, since it uses less digits than its factorization.

2310112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2310112020 is about 48063.6247072565. The cubic root of 2310112020 is about 1321.9377760596.

Adding to 2310112020 its reverse (202110132), we get a palindrome (2512222152).

The spelling of 2310112020 in words is "two billion, three hundred ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 283 370 444 555 566 740 849 1110 1132 1415 1698 2220 2830 3396 3677 4245 5660 7354 8490 10471 11031 14708 16980 18385 20942 22062 31413 36770 41884 44124 52355 55155 62826 73540 104710 110310 125652 136049 157065 209420 220620 272098 314130 408147 544196 628260 680245 816294 1040591 1360490 1632588 2040735 2081182 2720980 3121773 4081470 4162364 5202955 6243546 8162940 10405910 12487092 15608865 20811820 31217730 38501867 62435460 77003734 115505601 154007468 192509335 231011202 385018670 462022404 577528005 770037340 1155056010 2310112020