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32113200031002 = 234821280186201
BaseRepresentation
bin1110100110100111011111…
…11000010110010100011010
311012200222210010101000010000
413103103233320112110122
513202120313201443002
6152144333405433430
76523050014314206
oct723235770262432
9135628703330100
1032113200031002
11a26114a256672
12372790586b876
1314bc35315018c
147d0404015b06
153aa510ca661c
hex1d34efe1651a

32113200031002 has 80 divisors (see below), whose sum is σ = 72071558861544. Its totient is φ = 10687420800000.

The previous prime is 32113200030971. The next prime is 32113200031013. The reversal of 32113200031002 is 20013000231123.

32113200031002 is a `hidden beast` number, since 32 + 1 + 1 + 320 + 0 + 0 + 310 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17018273353041 + 15094926677961 = 4125321^2 + 3885219^2 .

It is a super-2 number, since 2×321132000310022 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 372495502 + ... + 372581702.

Almost surely, 232113200031002 is an apocalyptic number.

32113200031002 is an abundant number, since it is smaller than the sum of its proper divisors (39958358830542).

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

32113200031002 is a wasteful number, since it uses less digits than its factorization.

32113200031002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89837 (or 89828 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32113200031002 its reverse (20013000231123), we get a palindrome (52126200262125).

The spelling of 32113200031002 in words is "thirty-two trillion, one hundred thirteen billion, two hundred million, thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 821 1642 2463 2801 4926 5602 7389 8403 14778 16806 22167 25209 44334 50418 66501 75627 86201 133002 151254 172402 226881 258603 453762 517206 775809 1551618 2299621 2327427 4599242 4654854 6898863 6982281 13797726 13964562 20696589 41393178 62089767 70771021 124179534 141542042 186269301 212313063 241449001 372538602 424626126 482898002 636939189 724347003 1273878378 1448694006 1910817567 2173041009 3821635134 4346082018 5732452701 6519123027 11464905402 13038246054 19557369081 39114738162 198229629821 396459259642 594688889463 1189377778926 1784066668389 3568133336778 5352200005167 10704400010334 16056600015501 32113200031002