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210212100130020 = 2235137165715433463
BaseRepresentation
bin101111110010111111010001…
…100011100100010011100100
31000120022002011200200021210220
4233302333101203210103210
5210023103340113130040
62023030034452244340
762164215543226122
oct5762772143442344
91016262150607726
10210212100130020
1160a864a633a31a
121b6b061b0106b0
13903abba558b01
1439ca469c78912
1519481748a52d0
hexbf2fd18e44e4

210212100130020 has 96 divisors (see below), whose sum is σ = 593248033905408. Its totient is φ = 55613801244672.

The previous prime is 210212100130001. The next prime is 210212100130027. The reversal of 210212100130020 is 20031001212012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (210212100130027) 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, 5903809 + ... + 21337271.

It is an arithmetic number, because the mean of its divisors is an integer number (6179667019848).

Almost surely, 2210212100130020 is an apocalyptic number.

210212100130020 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 210212100130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296624016952704).

210212100130020 is an abundant number, since it is smaller than the sum of its proper divisors (383035933775388).

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

210212100130020 is a wasteful number, since it uses less digits than its factorization.

210212100130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15435269 (or 15435267 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 210212100130020 its reverse (20031001212012), we get a palindrome (230243101342032).

The spelling of 210212100130020 in words is "two hundred ten trillion, two hundred twelve billion, one hundred million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 1657 2055 2740 3314 4110 4971 6628 8220 8285 9942 16570 19884 24855 33140 49710 99420 227009 454018 681027 908036 1135045 1362054 2270090 2724108 3405135 4540180 6810270 13620540 15433463 30866926 46300389 61733852 77167315 92600778 154334630 185201556 231501945 308669260 463003890 926007780 2114384431 4228768862 6343153293 8457537724 10571922155 12686306586 21143844310 25372613172 25573248191 31715766465 42287688620 51146496382 63431532930 76719744573 102292992764 126863065860 127866240955 153439489146 255732481910 306878978292 383598722865 511464963820 767197445730 1534394891460 3503535002167 7007070004334 10510605006501 14014140008668 17517675010835 21021210013002 35035350021670 42042420026004 52553025032505 70070700043340 105106050065010 210212100130020