Search a number
-
+
2122001000200 = 235215676770903
BaseRepresentation
bin11110111000010001000…
…111011010011100001000
321111212020220020210201001
4132320101013122130020
5234231324224001300
64302500033504344
7306211106616214
oct36702107323410
97455226223631
102122001000200
11748a32275a84
122a3311a120b4
13125147186113
14749c3871944
153a2e899216a
hex1ee111da708

2122001000200 has 48 divisors (see below), whose sum is σ = 4936801524480. Its totient is φ = 848258602560.

The previous prime is 2122001000179. The next prime is 2122001000209. The reversal of 2122001000200 is 20001002212.

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 (2122001000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3072052 + ... + 3698851.

It is an arithmetic number, because the mean of its divisors is an integer number (102850031760).

Almost surely, 22122001000200 is an apocalyptic number.

2122001000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122001000200 is an abundant number, since it is smaller than the sum of its proper divisors (2814800524280).

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

2122001000200 is a wasteful number, since it uses less digits than its factorization.

2122001000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772486 (or 6772477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2122001000200 its reverse (20001002212), we get a palindrome (2142002002412).

The spelling of 2122001000200 in words is "two trillion, one hundred twenty-two billion, one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1567 3134 6268 7835 12536 15670 31340 39175 62680 78350 156700 313400 6770903 13541806 27083612 33854515 54167224 67709030 135418060 169272575 270836120 338545150 677090300 1354180600 10610005001 21220010002 42440020004 53050025005 84880040008 106100050010 212200100020 265250125025 424400200040 530500250050 1061000500100 2122001000200