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2211310020 = 2235178924359
BaseRepresentation
bin1000001111001101…
…1110100111000100
312201002222012002010
42003303132213010
514012043410040
61003232014220
7105540552663
oct20363364704
95632865063
102211310020
11a35254a47
12518691370
1329319158a
1416d982dda
15ce202e80
hex83cde9c4

2211310020 has 96 divisors (see below), whose sum is σ = 6629817600. Its totient is φ = 548737024.

The previous prime is 2211310019. The next prime is 2211310021. The reversal of 2211310020 is 200131122.

2211310020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2211310019) and next prime (2211310021).

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 = 2211309978 and 2211310005.

It is not an unprimeable number, because it can be changed into a prime (2211310021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78601 + ... + 102959.

It is an arithmetic number, because the mean of its divisors is an integer number (69060600).

Almost surely, 22211310020 is an apocalyptic number.

2211310020 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 2211310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314908800).

2211310020 is an abundant number, since it is smaller than the sum of its proper divisors (4418507580).

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

2211310020 is a wasteful number, since it uses less digits than its factorization.

2211310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24477 (or 24475 counting only the distinct ones).

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

The square root of 2211310020 is about 47024.5682595811. The cubic root of 2211310020 is about 1302.8163831962.

Adding to 2211310020 its reverse (200131122), we get a palindrome (2411441142).

The spelling of 2211310020 in words is "two billion, two hundred eleven million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 89 102 170 178 204 255 267 340 356 445 510 534 890 1020 1068 1335 1513 1780 2670 3026 4539 5340 6052 7565 9078 15130 18156 22695 24359 30260 45390 48718 73077 90780 97436 121795 146154 243590 292308 365385 414103 487180 730770 828206 1242309 1461540 1656412 2070515 2167951 2484618 4141030 4335902 4969236 6211545 6503853 8282060 8671804 10839755 12423090 13007706 21679510 24846180 26015412 32519265 36855167 43359020 65038530 73710334 110565501 130077060 147420668 184275835 221131002 368551670 442262004 552827505 737103340 1105655010 2211310020