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32211022000001 = 13101238910268893
BaseRepresentation
bin1110101001011101101101…
…00001100010111110000001
311020001100021111122220111212
413110232312201202332001
513210221133113000001
6152301312250015505
76533112103323125
oct724566641427601
9136040244586455
1032211022000001
11a2996881a7849
123742866117595
1314c8642650980
147d5043ab7585
153acd38bb37bb
hex1d4bb6862f81

32211022000001 has 16 divisors (see below), whose sum is σ = 35046913710480. Its totient is φ = 29426536915200.

The previous prime is 32211021999967. The next prime is 32211022000009. The reversal of 32211022000001 is 10000022011223.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 214169956225 + 31996852043776 = 462785^2 + 5656576^2 .

It is a cyclic number.

It is not a de Polignac number, because 32211022000001 - 210 = 32211021998977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32211022000001.

It is not an unprimeable number, because it can be changed into a prime (32211022000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1997690 + ... + 8271203.

It is an arithmetic number, because the mean of its divisors is an integer number (2190432106905).

Almost surely, 232211022000001 is an apocalyptic number.

It is an amenable number.

32211022000001 is a deficient number, since it is larger than the sum of its proper divisors (2835891710479).

32211022000001 is a wasteful number, since it uses less digits than its factorization.

32211022000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271396.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 32211022000001 its reverse (10000022011223), we get a palindrome (42211044011224).

The spelling of 32211022000001 in words is "thirty-two trillion, two hundred eleven billion, twenty-two million, one", and thus it is an aban number.

Divisors: 1 13 101 1313 2389 31057 241289 3136757 10268893 133495609 1037158193 13483056509 24532385377 318921009901 2477770923077 32211022000001