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32301022012 = 22731711274127
BaseRepresentation
bin11110000101010010…
…100111101100111100
310002101010001221011121
4132011102213230330
51012123030201022
622501111000324
72222310104560
oct360522475474
9102333057147
1032301022012
11127760a2a16
1263156690a4
13307a00749c
1417c5ca16a0
15c90b4d2c7
hex7854a7b3c

32301022012 has 96 divisors (see below), whose sum is σ = 68174217216. Its totient is φ = 13100875200.

The previous prime is 32301022007. The next prime is 32301022027. The reversal of 32301022012 is 21022010323.

It is a congruent number.

It is an unprimeable number.

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, 7824693 + ... + 7828819.

It is an arithmetic number, because the mean of its divisors is an integer number (710148096).

Almost surely, 232301022012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32301022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34087108608).

32301022012 is an abundant number, since it is smaller than the sum of its proper divisors (35873195204).

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

32301022012 is a wasteful number, since it uses less digits than its factorization.

32301022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 32301022012 its reverse (21022010323), we get a palindrome (53323032335).

The spelling of 32301022012 in words is "thirty-two billion, three hundred one million, twenty-two thousand, twelve".

Divisors: 1 2 4 7 14 28 31 62 71 124 127 142 217 254 284 434 497 508 868 889 994 1778 1988 2201 3556 3937 4127 4402 7874 8254 8804 9017 15407 15748 16508 18034 27559 28889 30814 36068 55118 57778 61628 63119 110236 115556 126238 127937 252476 255874 279527 293017 511748 524129 559054 586034 895559 1048258 1118108 1172068 1791118 1956689 2051119 2096516 3582236 3668903 3913378 4102238 7337806 7826756 8204476 9083527 14675612 16247999 18167054 32495998 36334108 37213159 63584689 64991996 74426318 113735993 127169378 148852636 227471986 254338756 260492113 454943972 520984226 1041968452 1153607929 2307215858 4614431716 8075255503 16150511006 32301022012