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104314231011015 = 33523320310488781
BaseRepresentation
bin10111101101111110001100…
…101011110011011011000111
3111200100100021010002112002000
4113231332030223303123013
5102133041021114323030
61005505143545520343
730654311613523044
oct2755761453633307
9450310233075060
10104314231011015
1130268464a37273
12b848968aa30b3
134628a361a364c
141ba8b9b3021cb
15c0d6bc49e860
hex5edf8caf36c7

104314231011015 has 64 divisors (see below), whose sum is σ = 193570891361280. Its totient is φ = 53198756519040.

The previous prime is 104314231011013. The next prime is 104314231011047. The reversal of 104314231011015 is 510110132413401.

104314231011015 is a `hidden beast` number, since 1 + 0 + 4 + 31 + 423 + 101 + 101 + 5 = 666.

It is not a de Polignac number, because 104314231011015 - 21 = 104314231011013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104314231011015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104314231011013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4700925 + ... + 15189705.

It is an arithmetic number, because the mean of its divisors is an integer number (3024545177520).

Almost surely, 2104314231011015 is an apocalyptic number.

104314231011015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104314231011015 is a deficient number, since it is larger than the sum of its proper divisors (89256660350265).

104314231011015 is a wasteful number, since it uses less digits than its factorization.

104314231011015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10492021 (or 10492015 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 104314231011015 its reverse (510110132413401), we get a palindrome (614424363424416).

The spelling of 104314231011015 in words is "one hundred four trillion, three hundred fourteen billion, two hundred thirty-one million, eleven thousand, fifteen".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 1035 3105 3203 9609 16015 28827 48045 73669 86481 144135 221007 368345 432405 663021 1105035 1989063 3315105 9945315 10488781 31466343 52443905 94399029 157331715 241241963 283197087 471995145 723725889 1206209815 1415985435 2171177667 3618629445 6513533001 10855888335 32567665005 33595565543 100786696629 167977827715 302360089887 503933483145 772698007489 907080269661 1511800449435 2318094022467 3863490037445 4535401348305 6954282067401 11590470112335 20862846202203 34771410337005 104314231011015