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1363400031 = 37113574547
BaseRepresentation
bin101000101000011…
…1101010101011111
310112000110220020110
41101100331111133
510243012300111
6343142221103
745533465130
oct12120752537
93460426213
101363400031
1163a670694
12320724793
131896056a6
14cd105c87
157ea655a6
hex5143d55f

1363400031 has 16 divisors (see below), whose sum is σ = 2095951104. Its totient is φ = 772189824.

The previous prime is 1363400023. The next prime is 1363400041. The reversal of 1363400031 is 1300043631.

It is not a de Polignac number, because 1363400031 - 23 = 1363400023 is a prime.

It is a super-2 number, since 2×13634000312 = 3717719289061601922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1363399980 and 1363400007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363400021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284901 + ... + 289646.

It is an arithmetic number, because the mean of its divisors is an integer number (130996944).

Almost surely, 21363400031 is an apocalyptic number.

1363400031 is a deficient number, since it is larger than the sum of its proper divisors (732551073).

1363400031 is a wasteful number, since it uses less digits than its factorization.

1363400031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574670.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1363400031 is about 36924.2471961176. The cubic root of 1363400031 is about 1108.8541678010.

Adding to 1363400031 its reverse (1300043631), we get a palindrome (2663443662).

The spelling of 1363400031 in words is "one billion, three hundred sixty-three million, four hundred thousand, thirty-one".

Divisors: 1 3 7 21 113 339 791 2373 574547 1723641 4021829 12065487 64923811 194771433 454466677 1363400031