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10013314123132 = 2237653103610303
BaseRepresentation
bin1001000110110110100000…
…0010000000010101111100
31022110021010002002210012221
42101231220002000111330
52303024231403420012
633144015240535124
72052303154462645
oct221555002002574
938407102083187
1010013314123132
113210693859871
1211587927814a4
135783366314a8
1426890b4a66cc
15125708c43507
hex91b6808057c

10013314123132 has 24 divisors (see below), whose sum is σ = 18024462925056. Its totient is φ = 4863882017088.

The previous prime is 10013314123117. The next prime is 10013314123151. The reversal of 10013314123132 is 23132141331001.

It is a junction number, because it is equal to n+sod(n) for n = 10013314123097 and 10013314123106.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51708508 + ... + 51901795.

It is an arithmetic number, because the mean of its divisors is an integer number (751019288544).

Almost surely, 210013314123132 is an apocalyptic number.

It is an amenable number.

10013314123132 is a deficient number, since it is larger than the sum of its proper divisors (8011148801924).

10013314123132 is a wasteful number, since it uses less digits than its factorization.

10013314123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103610997 (or 103610995 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10013314123132 its reverse (23132141331001), we get a palindrome (33145455454133).

The spelling of 10013314123132 in words is "ten trillion, thirteen billion, three hundred fourteen million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 37 74 148 653 1306 2612 24161 48322 96644 103610303 207220606 414441212 3833581211 7667162422 15334324844 67657527859 135315055718 270630111436 2503328530783 5006657061566 10013314123132