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32002003012 = 22719672713313
BaseRepresentation
bin11101110011011101…
…111101000001000100
310001121021102012012211
4131303131331001010
51011020003044022
622411305553204
72212016352220
oct356335750104
9101537365184
1032002003012
1112632329581
1262514a5804
133030091075
1417982a5780
15c74784e77
hex77377d044

32002003012 has 96 divisors (see below), whose sum is σ = 68651233280. Its totient is φ = 12748285440.

The previous prime is 32002003001. The next prime is 32002003021. The reversal of 32002003012 is 21030020023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32002002983 and 32002003001.

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, 9657868 + ... + 9661180.

Almost surely, 232002003012 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 32002003012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34325616640).

32002003012 is an abundant number, since it is smaller than the sum of its proper divisors (36649230268).

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

32002003012 is a wasteful number, since it uses less digits than its factorization.

32002003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 32002003012 its reverse (21030020023), we get a palindrome (53032023035).

The spelling of 32002003012 in words is "thirty-two billion, two million, three thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 67 76 133 134 266 268 271 469 532 542 938 1084 1273 1876 1897 2546 3313 3794 5092 5149 6626 7588 8911 10298 13252 17822 18157 20596 23191 35644 36043 36314 46382 62947 72086 72628 92764 125894 127099 144172 221971 251788 254198 344983 440629 443942 508396 689966 881258 887884 897823 1379932 1553797 1762516 1795646 2414881 3107594 3591292 4217449 4829762 6215188 6284761 8434898 9659524 12569522 16869796 17058637 25139044 29522143 34117274 59044286 60154141 68234548 118088572 119410459 120308282 238820918 240616564 421078987 477641836 842157974 1142928679 1684315948 2285857358 4571714716 8000500753 16001001506 32002003012