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1300221252 = 22321116719661
BaseRepresentation
bin100110101111111…
…1100110101000100
310100121121002020200
41031133330311010
510130324040002
6333004130500
744135461341
oct11537746504
93317532220
101300221252
11607a39520
12303536a30
131794b48b5
14c497b7c8
1579235b1c
hex4d7fcd44

1300221252 has 72 divisors (see below), whose sum is σ = 3607111872. Its totient is φ = 391627200.

The previous prime is 1300221239. The next prime is 1300221259. The reversal of 1300221252 is 2521220031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1300221259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56302 + ... + 75962.

It is an arithmetic number, because the mean of its divisors is an integer number (50098776).

Almost surely, 21300221252 is an apocalyptic number.

1300221252 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 1300221252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803555936).

1300221252 is an abundant number, since it is smaller than the sum of its proper divisors (2306890620).

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

1300221252 is a wasteful number, since it uses less digits than its factorization.

1300221252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19849 (or 19844 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1300221252 is about 36058.5808372986. The cubic root of 1300221252 is about 1091.4547956663.

Adding to 1300221252 its reverse (2521220031), we get a palindrome (3821441283).

The spelling of 1300221252 in words is "one billion, three hundred million, two hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 167 198 334 396 501 668 1002 1503 1837 2004 3006 3674 5511 6012 7348 11022 16533 19661 22044 33066 39322 58983 66132 78644 117966 176949 216271 235932 353898 432542 648813 707796 865084 1297626 1946439 2595252 3283387 3892878 6566774 7785756 9850161 13133548 19700322 29550483 36117257 39400644 59100966 72234514 108351771 118201932 144469028 216703542 325055313 433407084 650110626 1300221252