Search a number
-
+
2020200000100 = 225279462155339
BaseRepresentation
bin11101011001011101010…
…011011010101001100100
321011010111012201011202221
4131121131103122221210
5231044332200000400
64144022253042124
7265645303446442
oct35313523325144
97133435634687
102020200000100
11709842262947
12287640a86344
131186724c6359
146dac7557b92
153783b5a2c1a
hex1d65d4daa64

2020200000100 has 72 divisors (see below), whose sum is σ = 4440366492800. Its totient is φ = 797664067200.

The previous prime is 2020200000097. The next prime is 2020200000103. The reversal of 2020200000100 is 10000020202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2020200000097) and next prime (2020200000103).

It is not an unprimeable number, because it can be changed into a prime (2020200000103) 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, 36478231 + ... + 36533569.

Almost surely, 22020200000100 is an apocalyptic number.

2020200000100 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 2020200000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220183246400).

2020200000100 is an abundant number, since it is smaller than the sum of its proper divisors (2420166492700).

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

2020200000100 is a wasteful number, since it uses less digits than its factorization.

2020200000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60053 (or 60046 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2020200000100 its reverse (10000020202), we get a palindrome (2030200020302).

The spelling of 2020200000100 in words is "two trillion, twenty billion, two hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 4621 7900 9242 18484 23105 46210 55339 92420 110678 115525 221356 231050 276695 365059 462100 553390 730118 1106780 1383475 1460236 1825295 2766950 3650590 4371781 5533900 7301180 8743562 9126475 17487124 18252950 21858905 36505900 43717810 87435620 109294525 218589050 255721519 437178100 511443038 1022886076 1278607595 2557215190 5114430380 6393037975 12786075950 20202000001 25572151900 40404000002 80808000004 101010000005 202020000010 404040000020 505050000025 1010100000050 2020200000100