Search a number
-
+
1231042512 = 243710933613
BaseRepresentation
bin100100101100000…
…0011011111010000
310011210102102212010
41021120003133100
510010121330022
6322053302520
742335455140
oct11130033720
93153372763
101231042512
11581989507
122a4334a40
13168072b2b
14b96d0920
157311d50c
hex496037d0

1231042512 has 80 divisors (see below), whose sum is σ = 3667959680. Its totient is φ = 348489216.

The previous prime is 1231042487. The next prime is 1231042529. The reversal of 1231042512 is 2152401321.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 19818 + ... + 53430.

It is an arithmetic number, because the mean of its divisors is an integer number (45849496).

Almost surely, 21231042512 is an apocalyptic number.

1231042512 is a gapful number since it is divisible by the number (12) 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 1231042512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833979840).

1231042512 is an abundant number, since it is smaller than the sum of its proper divisors (2436917168).

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

1231042512 is a wasteful number, since it uses less digits than its factorization.

1231042512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33740 (or 33734 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1231042512 is about 35086.2154128940. The cubic root of 1231042512 is about 1071.7438916293.

Adding to 1231042512 its reverse (2152401321), we get a palindrome (3383443833).

The spelling of 1231042512 in words is "one billion, two hundred thirty-one million, forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 654 763 872 1308 1526 1744 2289 2616 3052 4578 5232 6104 9156 12208 18312 33613 36624 67226 100839 134452 201678 235291 268904 403356 470582 537808 705873 806712 941164 1411746 1613424 1882328 2823492 3663817 3764656 5646984 7327634 10991451 11293968 14655268 21982902 25646719 29310536 43965804 51293438 58621072 76940157 87931608 102586876 153880314 175863216 205173752 307760628 410347504 615521256 1231042512