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13141905630 = 235762580503
BaseRepresentation
bin11000011110101000…
…11001000011011110
31020220212210222101120
430033110121003132
5203403311440010
610012020351410
7643445232450
oct141724310336
936825728346
1013141905630
115634299237
122669245566
1313158c8529
148c95482d0
1551db32e70
hex30f5190de

13141905630 has 32 divisors (see below), whose sum is σ = 36046370304. Its totient is φ = 3003864096.

The previous prime is 13141905619. The next prime is 13141905661. The reversal of 13141905630 is 3650914131.

13141905630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13141905591 and 13141905600.

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 15 ways as a sum of consecutive naturals, for example, 31290042 + ... + 31290461.

It is an arithmetic number, because the mean of its divisors is an integer number (1126449072).

Almost surely, 213141905630 is an apocalyptic number.

13141905630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13141905630 is an abundant number, since it is smaller than the sum of its proper divisors (22904464674).

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

13141905630 is a wasteful number, since it uses less digits than its factorization.

13141905630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62580520.

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 13141905630 in words is "thirteen billion, one hundred forty-one million, nine hundred five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 62580503 125161006 187741509 312902515 375483018 438063521 625805030 876127042 938707545 1314190563 1877415090 2190317605 2628381126 4380635210 6570952815 13141905630