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32010012012 = 223114310155837
BaseRepresentation
bin11101110011111100…
…100000010101101100
310001121211111002111110
4131303330200111230
51011024030341022
622412153352020
72212144420116
oct356374402554
9101554432443
1032010012012
11126368a9890
126254108610
133031936614
14179938c3b6
15c7531800c
hex773f2056c

32010012012 has 96 divisors (see below), whose sum is σ = 84201917184. Its totient is φ = 9380448000.

The previous prime is 32010011933. The next prime is 32010012049. The reversal of 32010012012 is 21021001023.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 545358 + ... + 601194.

It is an arithmetic number, because the mean of its divisors is an integer number (877103304).

Almost surely, 232010012012 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 32010012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42100958592).

32010012012 is an abundant number, since it is smaller than the sum of its proper divisors (52191905172).

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

32010012012 is a wasteful number, since it uses less digits than its factorization.

32010012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55999 (or 55997 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32010012012 its reverse (21021001023), we get a palindrome (53031013035).

The spelling of 32010012012 in words is "thirty-two billion, ten million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 101 129 132 172 202 258 303 404 473 516 606 946 1111 1212 1419 1892 2222 2838 3333 4343 4444 5676 6666 8686 13029 13332 17372 26058 47773 52116 55837 95546 111674 143319 167511 191092 223348 286638 335022 573276 614207 670044 1228414 1842621 2400991 2456828 3685242 4801982 5639537 7202973 7370484 9603964 11279074 14405946 16918611 22558148 26410901 28811892 33837222 52821802 62034907 67674444 79232703 105643604 124069814 158465406 186104721 242500091 248139628 316930812 372209442 485000182 727500273 744418884 970000364 1455000546 2667501001 2910001092 5335002002 8002503003 10670004004 16005006006 32010012012