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32220213312330 = 23351193100028603
BaseRepresentation
bin1110101001101110110100…
…10111100111101101001010
311020002020000001201221201000
413110313122113213231022
513210343444101443310
6152305432303435430
76533555631226101
oct724673227475512
9136066001657630
1032220213312330
11a2a257448783a
1237445b02b5b76
1314c9478935b14
147d567668d038
153ad1c5a804c0
hex1d4dda5e7b4a

32220213312330 has 64 divisors (see below), whose sum is σ = 85992590286720. Its totient is φ = 8584854738048.

The previous prime is 32220213312289. The next prime is 32220213312337. The reversal of 32220213312330 is 3321331202223.

32220213312330 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 0 + 2 + 13 + 312 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32220213312294 and 32220213312303.

It is not an unprimeable number, because it can be changed into a prime (32220213312337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49692192 + ... + 50336411.

It is an arithmetic number, because the mean of its divisors is an integer number (1343634223230).

Almost surely, 232220213312330 is an apocalyptic number.

32220213312330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32220213312330 is an abundant number, since it is smaller than the sum of its proper divisors (53772376974390).

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

32220213312330 is a wasteful number, since it uses less digits than its factorization.

32220213312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100029812 (or 100029806 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 32220213312330 its reverse (3321331202223), we get a palindrome (35541544514553).

The spelling of 32220213312330 in words is "thirty-two trillion, two hundred twenty billion, two hundred thirteen million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1193 2386 3579 5965 7158 10737 11930 17895 21474 32211 35790 53685 64422 107370 161055 322110 100028603 200057206 300085809 500143015 600171618 900257427 1000286030 1500429045 1800514854 2700772281 3000858090 4501287135 5401544562 9002574270 13503861405 27007722810 119334123379 238668246758 358002370137 596670616895 716004740274 1074007110411 1193341233790 1790011850685 2148014220822 3222021331233 3580023701370 5370035552055 6444042662466 10740071104110 16110106656165 32220213312330