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1001222300331 = 321110113356569
BaseRepresentation
bin11101001000111010111…
…11111110001010101011
310112201022220101201022200
432210131133332022223
5112401000402102311
62043542152351243
7132223136063601
oct16443537761253
93481286351280
101001222300331
11356685983260
121420633a5523
137355159a486
14366608dd871
151b09dc09556
hexe91d7fe2ab

1001222300331 has 12 divisors (see below), whose sum is σ = 1577683624920. Its totient is φ = 606801394080.

The previous prime is 1001222300311. The next prime is 1001222300333. The reversal of 1001222300331 is 1330032221001.

1001222300331 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 22 + 300 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1001222300331 is a prime.

It is a super-2 number, since 2×10012223003312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001222300333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5056678186 + ... + 5056678383.

It is an arithmetic number, because the mean of its divisors is an integer number (131473635410).

Almost surely, 21001222300331 is an apocalyptic number.

1001222300331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001222300331 is a deficient number, since it is larger than the sum of its proper divisors (576461324589).

1001222300331 is a wasteful number, since it uses less digits than its factorization.

1001222300331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113356586 (or 10113356583 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1001222300331 its reverse (1330032221001), we get a palindrome (2331254521332).

The spelling of 1001222300331 in words is "one trillion, one billion, two hundred twenty-two million, three hundred thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 10113356569 30340069707 91020209121 111246922259 333740766777 1001222300331