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200201012022 = 231131463211339
BaseRepresentation
bin1011101001110011101…
…0010000001100110110
3201010202100112011011010
42322130322100030312
511240002424341042
6231545430253050
720315111344614
oct2723472201466
9633670464133
10200201012022
11779a5285540
1232972ab7186
1315b56b6bcbb
149992a886b4
15531ae2d59c
hex2e9ce90336

200201012022 has 64 divisors (see below), whose sum is σ = 451868590080. Its totient is φ = 58582893600.

The previous prime is 200201012003. The next prime is 200201012029. The reversal of 200201012022 is 220210102002.

200201012022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200201011989 and 200201012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201012029) 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 31 ways as a sum of consecutive naturals, for example, 841629 + ... + 1052967.

It is an arithmetic number, because the mean of its divisors is an integer number (7060446720).

Almost surely, 2200201012022 is an apocalyptic number.

200201012022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200201012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225934295040).

200201012022 is an abundant number, since it is smaller than the sum of its proper divisors (251667578058).

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

200201012022 is a wasteful number, since it uses less digits than its factorization.

200201012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211849.

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

Adding to 200201012022 its reverse (220210102002), we get a palindrome (420411114024).

The spelling of 200201012022 in words is "two hundred billion, two hundred one million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 463 682 926 1023 1389 2046 2778 5093 10186 14353 15279 28706 30558 43059 86118 157883 211339 315766 422678 473649 634017 947298 1268034 2324729 4649458 6551509 6974187 13103018 13948374 19654527 39309054 72066599 97849957 144133198 195699914 216199797 293549871 432399594 587099742 1076349527 2152699054 3033348667 3229048581 6066697334 6458097162 9100046001 18200092002 33366835337 66733670674 100100506011 200201012022