Search a number
-
+
32131001016 = 233212719717837
BaseRepresentation
bin11101111011001010…
…000010101010111000
310001221021010222012200
4131323022002222320
51011301014013031
622432154510200
72215144000542
oct357312025270
9101837128180
1032131001016
11126991266a4
126288735360
133050a1874a
1417ab484692
15c80c668e6
hex77b282ab8

32131001016 has 96 divisors (see below), whose sum is σ = 88156823040. Its totient is φ = 10571468544.

The previous prime is 32131001009. The next prime is 32131001017. The reversal of 32131001016 is 61010013123.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 32131001016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32131001017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1792450 + ... + 1810286.

It is an arithmetic number, because the mean of its divisors is an integer number (918300240).

Almost surely, 232131001016 is an apocalyptic number.

32131001016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32131001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44078411520).

32131001016 is an abundant number, since it is smaller than the sum of its proper divisors (56025822024).

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

32131001016 is a wasteful number, since it uses less digits than its factorization.

32131001016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18173 (or 18166 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 32131001016 its reverse (61010013123), we get a palindrome (93141014139).

The spelling of 32131001016 in words is "thirty-two billion, one hundred thirty-one million, one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 197 254 381 394 508 591 762 788 1016 1143 1182 1524 1576 1773 2286 2364 3048 3546 4572 4728 7092 9144 14184 17837 25019 35674 50038 53511 71348 75057 100076 107022 142696 150114 160533 200152 214044 225171 300228 321066 428088 450342 600456 642132 900684 1284264 1801368 2265299 3513889 4530598 6795897 7027778 9061196 10541667 13591794 14055556 18122392 20387691 21083334 27183588 28111112 31625001 40775382 42166668 54367176 63250002 81550764 84333336 126500004 163101528 253000008 446263903 892527806 1338791709 1785055612 2677583418 3570111224 4016375127 5355166836 8032750254 10710333672 16065500508 32131001016