Search a number
-
+
23312031030 = 23255913073359
BaseRepresentation
bin10101101101100000…
…010101110100110110
32020011122200212200200
4111231200111310312
5340220334443110
614413121421330
71453456665021
oct255540256466
966148625620
1023312031030
119983040a52
12462719a846
132276910102
1411b21141b8
159168e86c0
hex56d815d36

23312031030 has 96 divisors (see below), whose sum is σ = 61704115200. Its totient is φ = 6104682816.

The previous prime is 23312030993. The next prime is 23312031047. The reversal of 23312031030 is 3013021332.

23312031030 is a `hidden beast` number, since 2 + 331 + 20 + 310 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23312030994 and 23312031012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6938491 + ... + 6941849.

It is an arithmetic number, because the mean of its divisors is an integer number (642751200).

Almost surely, 223312031030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23312031030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30852057600).

23312031030 is an abundant number, since it is smaller than the sum of its proper divisors (38392084170).

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

23312031030 is a wasteful number, since it uses less digits than its factorization.

23312031030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23312031030 its reverse (3013021332), we get a palindrome (26325052362).

The spelling of 23312031030 in words is "twenty-three billion, three hundred twelve million, thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1307 1770 2614 2655 3359 3921 5310 6535 6718 7842 10077 11763 13070 16795 19605 20154 23526 30231 33590 39210 50385 58815 60462 77113 100770 117630 151155 154226 198181 231339 302310 385565 396362 462678 594543 694017 771130 990905 1156695 1189086 1388034 1783629 1981810 2313390 2972715 3470085 3567258 4390213 5945430 6940170 8780426 8918145 13170639 17836290 21951065 26341278 39511917 43902130 65853195 79023834 131706390 197559585 259022567 395119170 518045134 777067701 1295112835 1554135402 2331203103 2590225670 3885338505 4662406206 7770677010 11656015515 23312031030