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1300406401 = 78319311597
BaseRepresentation
bin100110110000010…
…1010000010000001
310100121221111020001
41031200222002001
510130401001101
6333012120001
744140162210
oct11540520201
93317844201
101300406401
11608055638
12303606001
1317954ac58
14c49c9077
1579270901
hex4d82a081

1300406401 has 16 divisors (see below), whose sum is σ = 1512008064. Its totient is φ = 1095404544.

The previous prime is 1300406377. The next prime is 1300406423. The reversal of 1300406401 is 1046040031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1300406401 - 25 = 1300406369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1300406431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106335 + ... + 117931.

It is an arithmetic number, because the mean of its divisors is an integer number (94500504).

Almost surely, 21300406401 is an apocalyptic number.

It is an amenable number.

1300406401 is a deficient number, since it is larger than the sum of its proper divisors (211601663).

1300406401 is a wasteful number, since it uses less digits than its factorization.

1300406401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11880.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1300406401 is about 36061.1480821119. The cubic root of 1300406401 is about 1091.5066002271.

Adding to 1300406401 its reverse (1046040031), we get a palindrome (2346446432).

The spelling of 1300406401 in words is "one billion, three hundred million, four hundred six thousand, four hundred one".

Divisors: 1 7 83 193 581 1351 11597 16019 81179 112133 962551 2238221 6737857 15667547 185772343 1300406401