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32202120013220 = 2251875785840273
BaseRepresentation
bin1110101001001101000111…
…11011001010010110100100
311020000111022010000010100202
413110212203323022112210
513210044420210410340
6152253241045330032
76532345360560653
oct724464373122644
9136014263003322
1032202120013220
11a29592a270383
123740ba0a06918
1314c7854299a81
147d483b6d719a
153ac9b73e7c15
hex1d49a3eca5a4

32202120013220 has 24 divisors (see below), whose sum is σ = 67628058107064. Its totient is φ = 12880161133056.

The previous prime is 32202120013211. The next prime is 32202120013279. The reversal of 32202120013220 is 2231002120223.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4297461673024 + 27904658340196 = 2073032^2 + 5282486^2 .

It is a super-3 number, since 3×322021200132203 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32202120013192 and 32202120013201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42544997 + ... + 43295276.

It is an arithmetic number, because the mean of its divisors is an integer number (2817835754461).

Almost surely, 232202120013220 is an apocalyptic number.

It is an amenable number.

32202120013220 is an abundant number, since it is smaller than the sum of its proper divisors (35425938093844).

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

32202120013220 is a wasteful number, since it uses less digits than its factorization.

32202120013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85859039 (or 85859037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 32202120013220 its reverse (2231002120223), we get a palindrome (34433122133443).

The spelling of 32202120013220 in words is "thirty-two trillion, two hundred two billion, one hundred twenty million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 18757 37514 75028 93785 187570 375140 85840273 171680546 343361092 429201365 858402730 1716805460 1610106000661 3220212001322 6440424002644 8050530003305 16101060006610 32202120013220