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1301143332 = 2231937891733
BaseRepresentation
bin100110110001101…
…1101111100100100
310100200022221002210
41031203131330210
510131043041312
6333040003420
744146351536
oct11543357444
93320287083
101301143332
11608509275
12303900570
131797484c8
14c4b3b856
1579368e3c
hex4d8ddf24

1301143332 has 96 divisors (see below), whose sum is σ = 3320956800. Its totient is φ = 395062272.

The previous prime is 1301143273. The next prime is 1301143339. The reversal of 1301143332 is 2333411031.

It is a junction number, because it is equal to n+sod(n) for n = 1301143299 and 1301143308.

It is not an unprimeable number, because it can be changed into a prime (1301143339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749938 + ... + 751670.

It is an arithmetic number, because the mean of its divisors is an integer number (34593300).

Almost surely, 21301143332 is an apocalyptic number.

1301143332 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 1301143332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660478400).

1301143332 is an abundant number, since it is smaller than the sum of its proper divisors (2019813468).

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

1301143332 is a wasteful number, since it uses less digits than its factorization.

1301143332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1883 counting only the distinct ones).

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

The square root of 1301143332 is about 36071.3644321919. The cubic root of 1301143332 is about 1091.7127442846.

Adding to 1301143332 its reverse (2333411031), we get a palindrome (3634554363).

The spelling of 1301143332 in words is "one billion, three hundred one million, one hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 89 111 114 148 178 222 228 267 356 444 534 703 1068 1406 1691 1733 2109 2812 3293 3382 3466 4218 5073 5199 6586 6764 6932 8436 9879 10146 10398 13172 19758 20292 20796 32927 39516 62567 64121 65854 98781 125134 128242 131708 154237 187701 192363 197562 250268 256484 308474 375402 384726 395124 462711 616948 750804 769452 925422 1218299 1850844 2436598 2930503 3654897 4873196 5706769 5861006 7309794 8791509 11413538 11722012 14619588 17120307 17583018 22827076 34240614 35166036 68481228 108428611 216857222 325285833 433714444 650571666 1301143332