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2221002100200 = 2335213284743859
BaseRepresentation
bin100000010100011110000…
…010101000110111101000
321212022210110021202202110
4200110132002220313220
5242342103014201300
64420151515002320
7316314334234632
oct40243602506750
97768713252673
102221002100200
11786a15869794
122ba5411393a0
13131593a52270
14796d5d8da52
153cb90166550
hex2051e0a8de8

2221002100200 has 96 divisors (see below), whose sum is σ = 7414730114400. Its totient is φ = 546708207360.

The previous prime is 2221002100199. The next prime is 2221002100211. The reversal of 2221002100200 is 20012001222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142364130 + ... + 142379729.

It is an arithmetic number, because the mean of its divisors is an integer number (77236772025).

Almost surely, 22221002100200 is an apocalyptic number.

2221002100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221002100200 is an abundant number, since it is smaller than the sum of its proper divisors (5193728014200).

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

2221002100200 is a wasteful number, since it uses less digits than its factorization.

2221002100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284743891 (or 284743882 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2221002100200 its reverse (20012001222), we get a palindrome (2241014101422).

The spelling of 2221002100200 in words is "two trillion, two hundred twenty-one billion, two million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 284743859 569487718 854231577 1138975436 1423719295 1708463154 2277950872 2847438590 3416926308 3701670167 4271157885 5694877180 6833852616 7118596475 7403340334 8542315770 11105010501 11389754360 14237192950 14806680668 17084631540 18508350835 21355789425 22210021002 28474385900 29613361336 34169263080 37016701670 42711578850 44420042004 55525052505 56948771800 74033403340 85423157700 88840084008 92541754175 111050105010 148066806680 170846315400 185083508350 222100210020 277625262525 370167016700 444200420040 555250525050 740334033400 1110501050100 2221002100200