Search a number
-
+
1231313430 = 2351913915541
BaseRepresentation
bin100100101100100…
…0101101000010110
310011210221012111010
41021121011220112
510010204012210
6322103153050
742340664034
oct11131055026
93153835433
101231313430
11582054006
122a4445786
13168139239
14b9761554
1573173920
hex49645a16

1231313430 has 64 divisors (see below), whose sum is σ = 3133267200. Its totient is φ = 308810880.

The previous prime is 1231313423. The next prime is 1231313443. The reversal of 1231313430 is 343131321.

It is a super-2 number, since 2×12313134302 = 3032265525796729800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1231313397 and 1231313406.

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, 71460 + ... + 87000.

It is an arithmetic number, because the mean of its divisors is an integer number (48957300).

Almost surely, 21231313430 is an apocalyptic number.

1231313430 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 1231313430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566633600).

1231313430 is an abundant number, since it is smaller than the sum of its proper divisors (1901953770).

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

1231313430 is a wasteful number, since it uses less digits than its factorization.

1231313430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15709.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1231313430 is about 35090.0759474812. The cubic root of 1231313430 is about 1071.8225061402.

Adding to 1231313430 its reverse (343131321), we get a palindrome (1574444751).

The spelling of 1231313430 in words is "one billion, two hundred thirty-one million, three hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 139 190 278 285 417 570 695 834 1390 2085 2641 4170 5282 7923 13205 15541 15846 26410 31082 39615 46623 77705 79230 93246 155410 233115 295279 466230 590558 885837 1476395 1771674 2160199 2952790 4320398 4429185 6480597 8858370 10800995 12961194 21601990 32402985 41043781 64805970 82087562 123131343 205218905 246262686 410437810 615656715 1231313430