Search a number
-
+
210001120012020 = 2235101214191617893
BaseRepresentation
bin101111101111111010110010…
…001010010010011011110100
31000112112220121010100211001110
4233233322302022102123310
5210011124243210341040
62022345103244155020
762143036343634231
oct5757726212223364
91015486533324043
10210001120012020
1160a04a7a58aa37
121b67775a238a70
139024036483abc
1439c01737c0788
1519429274bc980
hexbefeb22926f4

210001120012020 has 96 divisors (see below), whose sum is σ = 593853040529280. Its totient is φ = 55443217369600.

The previous prime is 210001120012003. The next prime is 210001120012037. The reversal of 210001120012020 is 20210021100012.

It is an interprime number because it is at equal distance from previous prime (210001120012003) and next prime (210001120012037).

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 = 210001120011987 and 210001120012005.

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, 128990194 + ... + 130608086.

It is an arithmetic number, because the mean of its divisors is an integer number (6185969172180).

Almost surely, 2210001120012020 is an apocalyptic number.

210001120012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210001120012020 is an abundant number, since it is smaller than the sum of its proper divisors (383851920517260).

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

210001120012020 is a wasteful number, since it uses less digits than its factorization.

210001120012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639425 (or 1639423 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210001120012020 its reverse (20210021100012), we get a palindrome (230211141112032).

It can be divided in two parts, 210001 and 120012020, that added together give a palindrome (120222021).

The spelling of 210001120012020 in words is "two hundred ten trillion, one billion, one hundred twenty million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 21419 42838 64257 85676 107095 128514 214190 257028 321285 428380 642570 1285140 1617893 2163319 3235786 4326638 4853679 6471572 6489957 8089465 8653276 9707358 10816595 12979914 16178930 19414716 21633190 24268395 25959828 32357860 32449785 43266380 48536790 64899570 97073580 129799140 163407193 326814386 490221579 653628772 817035965 980443158 1634071930 1960886316 2451107895 3268143860 4902215790 9804431580 34653650167 69307300334 103960950501 138614600668 173268250835 207921901002 346536501670 415843802004 519804752505 693073003340 1039609505010 2079219010020 3500018666867 7000037333734 10500056000601 14000074667468 17500093334335 21000112001202 35000186668670 42000224002404 52500280003005 70000373337340 105000560006010 210001120012020