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32210040012 = 22317415372661
BaseRepresentation
bin11101111111110111…
…100011010011001100
310002010202212120022220
4131333313203103030
51011431232240022
622444100535340
72220123552123
oct357767432314
9102122776286
1032210040012
1112729800887
1262ab0b1550
133064200597
1417b7b7aaba
15c87b7a85c
hex77fde34cc

32210040012 has 96 divisors (see below), whose sum is σ = 83057897664. Its totient is φ = 9672499200.

The previous prime is 32210039999. The next prime is 32210040017. The reversal of 32210040012 is 21004001223.

It is a junction number, because it is equal to n+sod(n) for n = 32210039973 and 32210040000.

It is not an unprimeable number, because it can be changed into a prime (32210040017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406962 + ... + 479622.

It is an arithmetic number, because the mean of its divisors is an integer number (865186434).

Almost surely, 232210040012 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 32210040012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41528948832).

32210040012 is an abundant number, since it is smaller than the sum of its proper divisors (50847857652).

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

32210040012 is a wasteful number, since it uses less digits than its factorization.

32210040012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72779 (or 72777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 32210040012 its reverse (21004001223), we get a palindrome (53214041235).

The spelling of 32210040012 in words is "thirty-two billion, two hundred ten million, forty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 41 51 53 68 82 102 106 123 159 164 204 212 246 318 492 636 697 901 1394 1802 2091 2173 2703 2788 3604 4182 4346 5406 6519 8364 8692 10812 13038 26076 36941 72661 73882 110823 145322 147764 217983 221646 290644 435966 443292 871932 1235237 2470474 2979101 3705711 3851033 4940948 5958202 7411422 7702066 8937303 11553099 11916404 14822844 15404132 17874606 23106198 35749212 46212396 50644717 65467561 101289434 130935122 151934151 157892353 196402683 202578868 261870244 303868302 315784706 392805366 473677059 607736604 631569412 785610732 947354118 1894708236 2684170001 5368340002 8052510003 10736680004 16105020006 32210040012