Search a number
-
+
1301333312 = 261031131747
BaseRepresentation
bin100110110010000…
…1100010101000000
310100200200120201002
41031210030111000
510131120131222
6333044031132
744151102446
oct11544142500
93320616632
101301333312
11608628a84
123039924a8
131797b3b16
14c4b8ab96
15793a5392
hex4d90c540

1301333312 has 56 divisors (see below), whose sum is σ = 2631984576. Its totient is φ = 638281728.

The previous prime is 1301333303. The next prime is 1301333377. The reversal of 1301333312 is 2133331031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744023 + ... + 745769.

Almost surely, 21301333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315992288).

1301333312 is an abundant number, since it is smaller than the sum of its proper divisors (1330651264).

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

1301333312 is a wasteful number, since it uses less digits than its factorization.

1301333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 1301333312 is about 36073.9977268946. The cubic root of 1301333312 is about 1091.7658753754.

Adding to 1301333312 its reverse (2133331031), we get a palindrome (3434664343).

The spelling of 1301333312 in words is "one billion, three hundred one million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 113 206 226 412 452 824 904 1648 1747 1808 3296 3494 3616 6592 6988 7232 11639 13976 23278 27952 46556 55904 93112 111808 179941 186224 197411 359882 372448 394822 719764 744896 789644 1439528 1579288 2879056 3158576 5758112 6317152 11516224 12634304 20333333 40666666 81333332 162666664 325333328 650666656 1301333312