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2020101210 = 232537653929
BaseRepresentation
bin111100001101000…
…0100110001011010
312012210011202220100
41320122010301122
513114121214320
6532241440230
7101026401621
oct17032046132
95183152810
102020101210
11947326a36
12484640076
1326269487a
1415240c6b8
15bc533790
hex78684c5a

2020101210 has 96 divisors (see below), whose sum is σ = 5408292240. Its totient is φ = 522768384.

The previous prime is 2020101197. The next prime is 2020101229. The reversal of 2020101210 is 121010202.

It can be written as a sum of positive squares in 8 ways, for example, as 427372929 + 1592728281 = 20673^2 + 39909^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2020101192 and 2020101201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2174026 + ... + 2174954.

Almost surely, 22020101210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704146120).

2020101210 is an abundant number, since it is smaller than the sum of its proper divisors (3388191030).

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

2020101210 is a wasteful number, since it uses less digits than its factorization.

2020101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2020101210 is about 44945.5360408573. The cubic root of 2020101210 is about 1264.1279767641.

Adding to 2020101210 its reverse (121010202), we get a palindrome (2141111412).

The spelling of 2020101210 in words is "two billion, twenty million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 653 666 929 1110 1306 1665 1858 1959 2787 3265 3330 3918 4645 5574 5877 6530 8361 9290 9795 11754 13935 16722 19590 24161 27870 29385 34373 41805 48322 58770 68746 72483 83610 103119 120805 144966 171865 206238 217449 241610 309357 343730 362415 434898 515595 606637 618714 724830 1031190 1087245 1213274 1546785 1819911 2174490 3033185 3093570 3639822 5459733 6066370 9099555 10919466 18199110 22445569 27298665 44891138 54597330 67336707 112227845 134673414 202010121 224455690 336683535 404020242 673367070 1010050605 2020101210