Search a number
-
+
13031231010 = 2357241921157
BaseRepresentation
bin11000010001011100…
…01100111000100010
31020122011120010100120
430020232030320202
5203141443343020
65553024301110
7640632431100
oct141056147042
936564503316
1013031231010
115587876806
122638171796
1312c89b80a5
148b8978c70
15514070740
hex308b8ce22

13031231010 has 96 divisors (see below), whose sum is σ = 36469621440. Its totient is φ = 2971317888.

The previous prime is 13031230973. The next prime is 13031231033. The reversal of 13031231010 is 1013213031.

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

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, 605352 + ... + 626508.

It is an arithmetic number, because the mean of its divisors is an integer number (379891890).

Almost surely, 213031231010 is an apocalyptic number.

13031231010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031231010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234810720).

13031231010 is an abundant number, since it is smaller than the sum of its proper divisors (23438390430).

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

13031231010 is a wasteful number, since it uses less digits than its factorization.

13031231010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21600 (or 21593 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13031231010 its reverse (1013213031), we get a palindrome (14044444041).

The spelling of 13031231010 in words is "thirteen billion, thirty-one million, two hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 419 490 735 838 1257 1470 2095 2514 2933 4190 5866 6285 8799 12570 14665 17598 20531 21157 29330 41062 42314 43995 61593 63471 87990 102655 105785 123186 126942 148099 205310 211570 296198 307965 317355 444297 615930 634710 740495 888594 1036693 1480990 2073386 2221485 3110079 4442970 5183465 6220158 8864783 10366930 15550395 17729566 26594349 31100790 44323915 53188698 62053481 88647830 124106962 132971745 186160443 265943490 310267405 372320886 434374367 620534810 868748734 930802215 1303123101 1861604430 2171871835 2606246202 4343743670 6515615505 13031231010