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32213033011134 = 23223269443652943
BaseRepresentation
bin1110101001100001011100…
…11000111100011110111110
311020001112110122201212011200
413110300232120330132332
513210234242422324014
6152302244005000330
76533212662535263
oct724605630743676
9136045418655150
1032213033011134
11a29a51a385218
1237431276b30a6
1314c88a3181ba1
147d5194bdb26a
153ace054eda09
hex1d4c2e63c7be

32213033011134 has 96 divisors (see below), whose sum is σ = 73265331409920. Its totient is φ = 10209526476864.

The previous prime is 32213033011079. The next prime is 32213033011163. The reversal of 32213033011134 is 43111033031223.

32213033011134 is a `hidden beast` number, since 3 + 2 + 21 + 303 + 301 + 1 + 1 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32213033011098 and 32213033011107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49008667 + ... + 49661609.

It is an arithmetic number, because the mean of its divisors is an integer number (763180535520).

Almost surely, 232213033011134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32213033011134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36632665704960).

32213033011134 is an abundant number, since it is smaller than the sum of its proper divisors (41052298398786).

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

32213033011134 is a wasteful number, since it uses less digits than its factorization.

32213033011134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653686 (or 653683 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 32213033011134 its reverse (43111033031223), we get a palindrome (75324066042357).

The spelling of 32213033011134 in words is "thirty-two trillion, two hundred thirteen billion, thirty-three million, eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 269 414 443 538 807 886 1329 1614 2421 2658 3987 4842 6187 7974 10189 12374 18561 20378 30567 37122 55683 61134 91701 111366 119167 183402 238334 357501 652943 715002 1072503 1305886 1958829 2145006 2740841 3917658 5481682 5876487 8222523 11752974 15017689 16445046 24667569 30035378 45053067 49335138 90106134 135159201 175641667 270318402 289253749 351283334 526925001 578507498 867761247 1053850002 1580775003 1735522494 2603283741 3161550006 4039758341 5206567482 6652836227 8079516682 12119275023 13305672454 19958508681 24238550046 36357825069 39917017362 59875526043 72715650138 77809258481 119751052086 155618516962 233427775443 466855550886 700283326329 1400566652658 1789612945063 3579225890126 5368838835189 10737677670378 16106516505567 32213033011134