Search a number
-
+
1301232300 = 223527359417
BaseRepresentation
bin100110110001111…
…0011101010101100
310100200111110010220
41031203303222230
510131103413200
6333041531340
744150202114
oct11543635254
93320443126
101301232300
1160856a0a5
12303943b50
13179779b54
14c4b62044
15793854a0
hex4d8f3aac

1301232300 has 72 divisors (see below), whose sum is σ = 3816536976. Its totient is φ = 342236160.

The previous prime is 1301232287. The next prime is 1301232313. The reversal of 1301232300 is 32321031.

It is an interprime number because it is at equal distance from previous prime (1301232287) and next prime (1301232313).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1301232300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7809 + ... + 51608.

It is an arithmetic number, because the mean of its divisors is an integer number (53007458).

Almost surely, 21301232300 is an apocalyptic number.

1301232300 is a gapful number since it is divisible by the number (10) 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 1301232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908268488).

1301232300 is an abundant number, since it is smaller than the sum of its proper divisors (2515304676).

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

1301232300 is a wasteful number, since it uses less digits than its factorization.

1301232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59507 (or 59500 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1301232300 is about 36072.5976331065. The cubic root of 1301232300 is about 1091.7376263206.

Adding to 1301232300 its reverse (32321031), we get a palindrome (1333553331).

The spelling of 1301232300 in words is "one billion, three hundred one million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21900 59417 118834 178251 237668 297085 356502 594170 713004 891255 1188340 1485425 1782510 2970850 3565020 4337441 4456275 5941700 8674882 8912550 13012323 17349764 17825100 21687205 26024646 43374410 52049292 65061615 86748820 108436025 130123230 216872050 260246460 325308075 433744100 650616150 1301232300