Search a number
-
+
210012201000100 = 225242591234739937
BaseRepresentation
bin101111110000000101000110…
…101000111001110010100100
31000112120222012101012100001101
4233300011012220321302210
5210011314441424000400
62022354135004205444
762143611055530022
oct5760050650716244
91015528171170041
10210012201000100
1160a09746504324
121b679931239884
1390250b10c6495
1439c0905333712
151942d7520856a
hexbf0146a39ca4

210012201000100 has 72 divisors (see below), whose sum is σ = 455881812634080. Its totient is φ = 83976251473920.

The previous prime is 210012201000059. The next prime is 210012201000101. The reversal of 210012201000100 is 1000102210012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210012201000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5258567332 + ... + 5258607268.

It is an arithmetic number, because the mean of its divisors is an integer number (6331691842140).

Almost surely, 2210012201000100 is an apocalyptic number.

210012201000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012201000100 is an abundant number, since it is smaller than the sum of its proper divisors (245869611633980).

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

210012201000100 is a wasteful number, since it uses less digits than its factorization.

210012201000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56557 (or 56550 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210012201000100 its reverse (1000102210012), we get a palindrome (211012303210112).

The spelling of 210012201000100 in words is "two hundred ten trillion, twelve billion, two hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 4259 8518 12347 17036 21295 24694 39937 42590 49388 61735 79874 85180 106475 123470 159748 199685 212950 246940 308675 399370 425900 617350 798740 998425 1234700 1996850 3993700 52585873 105171746 170091683 210343492 262929365 340183366 493102139 525858730 680366732 850458415 986204278 1051717460 1314646825 1700916830 1972408556 2465510695 2629293650 3401833660 4252292075 4931021390 5258587300 8504584150 9862042780 12327553475 17009168300 24655106950 49310213900 2100122010001 4200244020002 8400488040004 10500610050005 21001220100010 42002440200020 52503050250025 105006100500050 210012201000100