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1315201014 = 2321917322229
BaseRepresentation
bin100111001100100…
…0101111111110110
310101122210010121200
41032121011333312
510143142413024
6334301153330
744410011201
oct11631057766
93348703550
101315201014
1161543aa96
1230855b846
1317c62ac6a
14c695a938
157a6e42c9
hex4e645ff6

1315201014 has 48 divisors (see below), whose sum is σ = 3017055600. Its totient is φ = 412907328.

The previous prime is 1315200977. The next prime is 1315201031. The reversal of 1315201014 is 4101025131.

1315201014 is a `hidden beast` number, since 131 + 520 + 1 + 0 + 14 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48052 + ... + 70280.

It is an arithmetic number, because the mean of its divisors is an integer number (62855325).

Almost surely, 21315201014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315201014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508527800).

1315201014 is an abundant number, since it is smaller than the sum of its proper divisors (1701854586).

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

1315201014 is a wasteful number, since it uses less digits than its factorization.

1315201014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22429 (or 22426 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1315201014 is about 36265.7002414127. The cubic root of 1315201014 is about 1095.6303270238.

Adding to 1315201014 its reverse (4101025131), we get a palindrome (5416226145).

The spelling of 1315201014 in words is "one billion, three hundred fifteen million, two hundred one thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 173 342 346 519 1038 1557 3114 3287 6574 9861 19722 22229 29583 44458 59166 66687 133374 200061 400122 422351 844702 1267053 2534106 3801159 3845617 7602318 7691234 11536851 23073702 34610553 69221106 73066723 146133446 219200169 438400338 657600507 1315201014