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10032301212 = 223371311371259
BaseRepresentation
bin10010101011111100…
…01100010010011100
3221220011112201001120
421111332030102130
5131021232114322
64335255010540
7503416103403
oct112576142234
927804481046
1010032301212
114288a7742a
121b3b969a50
13c3b5b9a0b
146b257063a
153dab3da5c
hex255f8c49c

10032301212 has 96 divisors (see below), whose sum is σ = 24421098240. Its totient is φ = 3202767360.

The previous prime is 10032301211. The next prime is 10032301219. The reversal of 10032301212 is 21210323001.

10032301212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10032301191 and 10032301200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032301211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7967839 + ... + 7969097.

It is an arithmetic number, because the mean of its divisors is an integer number (254386440).

Almost surely, 210032301212 is an apocalyptic number.

10032301212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032301212 is an abundant number, since it is smaller than the sum of its proper divisors (14388797028).

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

10032301212 is a wasteful number, since it uses less digits than its factorization.

10032301212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10032301212 its reverse (21210323001), we get a palindrome (31242624213).

The spelling of 10032301212 in words is "ten billion, thirty-two million, three hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 131 137 148 222 262 274 393 411 444 524 548 786 822 1259 1572 1644 2518 3777 4847 5036 5069 7554 9694 10138 14541 15108 15207 17947 19388 20276 29082 30414 35894 46583 53841 58164 60828 71788 93166 107682 139749 164929 172483 186332 215364 279498 329858 344966 494787 517449 558996 659716 664039 689932 989574 1034898 1328078 1979148 1992117 2069796 2656156 3984234 6102373 6381871 7968468 12204746 12763742 18307119 19145613 22595273 24409492 25527484 36614238 38291226 45190546 67785819 73228476 76582452 90381092 135571638 271143276 836025101 1672050202 2508075303 3344100404 5016150606 10032301212