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1300213002 = 231121979091
BaseRepresentation
bin100110101111111…
…1010110100001010
310100121120122221010
41031133322310022
510130323304002
6333004024350
744135425314
oct11537726412
93317518833
101300213002
11607a33300
123035320b6
131794b0c0a
14c49787b4
157923346c
hex4d7fad0a

1300213002 has 48 divisors (see below), whose sum is σ = 2873144736. Its totient is φ = 391960800.

The previous prime is 1300212971. The next prime is 1300213003. The reversal of 1300213002 is 2003120031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1300213003) 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, 138477 + ... + 147567.

It is an arithmetic number, because the mean of its divisors is an integer number (59857182).

Almost surely, 21300213002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300213002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436572368).

1300213002 is an abundant number, since it is smaller than the sum of its proper divisors (1572931734).

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

1300213002 is a wasteful number, since it uses less digits than its factorization.

1300213002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9315 (or 9304 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1300213002 is about 36058.4664399361. The cubic root of 1300213002 is about 1091.4524872077.

Adding to 1300213002 its reverse (2003120031), we get a palindrome (3303333033).

The spelling of 1300213002 in words is "one billion, three hundred million, two hundred thirteen thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 197 242 363 394 591 726 1182 2167 4334 6501 9091 13002 18182 23837 27273 47674 54546 71511 100001 143022 200002 300003 600006 1100011 1790927 2200022 3300033 3581854 5372781 6600066 10745562 19700197 39400394 59100591 118201182 216702167 433404334 650106501 1300213002