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12010100032 = 267191410961
BaseRepresentation
bin10110010111101101…
…11001010101000000
31011000000010021222201
423023312321111000
5144044041200112
65303430042544
7603423110620
oct131366712500
934000107881
1012010100032
11510342aa07
1223b21a9454
13119528ca88
1481d0ca880
154a45b8257
hex2cbdb9540

12010100032 has 56 divisors (see below), whose sum is σ = 28670747840. Its totient is φ = 4876277760.

The previous prime is 12010100027. The next prime is 12010100077. The reversal of 12010100032 is 23000101021.

12010100032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 12010099991 and 12010100018.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696969 + ... + 713992.

It is an arithmetic number, because the mean of its divisors is an integer number (511977640).

Almost surely, 212010100032 is an apocalyptic number.

It is an amenable number.

12010100032 is an abundant number, since it is smaller than the sum of its proper divisors (16660647808).

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

12010100032 is a wasteful number, since it uses less digits than its factorization.

12010100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410999 (or 1410989 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12010100032 its reverse (23000101021), we get a palindrome (35010201053).

The spelling of 12010100032 in words is "twelve billion, ten million, one hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 1410961 2821922 5643844 9876727 11287688 19753454 22575376 26808259 39506908 45150752 53616518 79013816 90301504 107233036 158027632 187657813 214466072 316055264 375315626 428932144 632110528 750631252 857864288 1501262504 1715728576 3002525008 6005050016 12010100032