Search a number
-
+
13021300404 = 2232751671827
BaseRepresentation
bin11000010000010000…
…10100011010110100
31020121110212121010100
430020020110122310
5203131423103104
65552031354100
7640452140640
oct141010243264
936543777110
1013021300404
1155822037a2
122634982930
1312c691bca8
148b7511c20
1551325d139
hex3082146b4

13021300404 has 36 divisors (see below), whose sum is σ = 37617090784. Its totient is φ = 3720371472.

The previous prime is 13021300403. The next prime is 13021300421. The reversal of 13021300404 is 40400312031.

13021300404 is a `hidden beast` number, since 130 + 2 + 130 + 0 + 404 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×130213004042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021300403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25835662 + ... + 25836165.

Almost surely, 213021300404 is an apocalyptic number.

13021300404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13021300404 is an abundant number, since it is smaller than the sum of its proper divisors (24595790380).

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

13021300404 is a wasteful number, since it uses less digits than its factorization.

13021300404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51671844 (or 51671839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13021300404 its reverse (40400312031), we get a palindrome (53421612435).

The spelling of 13021300404 in words is "thirteen billion, twenty-one million, three hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 51671827 103343654 155015481 206687308 310030962 361702789 465046443 620061924 723405578 930092886 1085108367 1446811156 1860185772 2170216734 3255325101 4340433468 6510650202 13021300404