Search a number
-
+
13232031000 = 233536765831
BaseRepresentation
bin11000101001011000…
…01100010100011000
31021011011101211011020
430110230030110120
5204044344443000
610025000202440
7645621256566
oct142454142430
937134354136
1013232031000
115680155811
122693469420
13132b492556
148d74c8a36
155269d6ba0
hex314b0c518

13232031000 has 128 divisors (see below), whose sum is σ = 41900751360. Its totient is φ = 3475824000.

The previous prime is 13232030957. The next prime is 13232031023. The reversal of 13232031000 is 13023231.

It is a super-3 number, since 3×132320310003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168085 + ... + 233915.

It is an arithmetic number, because the mean of its divisors is an integer number (327349620).

Almost surely, 213232031000 is an apocalyptic number.

13232031000 is a gapful number since it is divisible by the number (10) 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 13232031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20950375680).

13232031000 is an abundant number, since it is smaller than the sum of its proper divisors (28668720360).

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

13232031000 is a wasteful number, since it uses less digits than its factorization.

13232031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65922 (or 65908 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13232031000 its reverse (13023231), we get a palindrome (13245054231).

The spelling of 13232031000 in words is "thirteen billion, two hundred thirty-two million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 670 750 804 1000 1005 1340 1500 1608 1675 2010 2680 3000 3350 4020 5025 6700 8040 8375 10050 13400 16750 20100 25125 33500 40200 50250 65831 67000 100500 131662 197493 201000 263324 329155 394986 526648 658310 789972 987465 1316620 1579944 1645775 1974930 2633240 3291550 3949860 4410677 4937325 6583100 7899720 8228875 8821354 9874650 13166200 13232031 16457750 17642708 19749300 22053385 24686625 26464062 32915500 35285416 39498600 44106770 49373250 52928124 65831000 66160155 88213540 98746500 105856248 110266925 132320310 176427080 197493000 220533850 264640620 330800775 441067700 529281240 551334625 661601550 882135400 1102669250 1323203100 1654003875 2205338500 2646406200 3308007750 4410677000 6616015500 13232031000