Search a number
-
+
23031212000 = 255310355901
BaseRepresentation
bin10101011100110001…
…000110011111100000
32012110002021210101212
4111130301012133200
5334131442241000
614325210445252
71443510033446
oct253461063740
965402253355
1023031212000
119849578505
124569133828
1322306999c4
141186ad4b96
158ebe27c35
hex55cc467e0

23031212000 has 96 divisors (see below), whose sum is σ = 57138105024. Its totient is φ = 9122880000.

The previous prime is 23031211997. The next prime is 23031212003. The reversal of 23031212000 is 21213032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23031211997) and next prime (23031212003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23031212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384050 + ... + 439950.

It is an arithmetic number, because the mean of its divisors is an integer number (595188594).

Almost surely, 223031212000 is an apocalyptic number.

23031212000 is a gapful number since it is divisible by the number (20) 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 23031212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569052512).

23031212000 is an abundant number, since it is smaller than the sum of its proper divisors (34106893024).

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

23031212000 is a wasteful number, since it uses less digits than its factorization.

23031212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56029 (or 56011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23031212000 its reverse (21213032), we get a palindrome (23052425032).

The spelling of 23031212000 in words is "twenty-three billion, thirty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 800 824 1000 1030 1648 2000 2060 2575 3296 4000 4120 5150 8240 10300 12875 16480 20600 25750 41200 51500 55901 82400 103000 111802 206000 223604 279505 412000 447208 559010 894416 1118020 1397525 1788832 2236040 2795050 4472080 5590100 5757803 6987625 8944160 11180200 11515606 13975250 22360400 23031212 27950500 28789015 44720800 46062424 55901000 57578030 92124848 111802000 115156060 143945075 184249696 223604000 230312120 287890150 460624240 575780300 719725375 921248480 1151560600 1439450750 2303121200 2878901500 4606242400 5757803000 11515606000 23031212000