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13133423214 = 233536768491
BaseRepresentation
bin11000011101101000…
…00010001001101110
31020220021212000201000
430032310002021232
5203344124020324
610011114501130
7643313153412
oct141664021156
936807760630
1013133423214
11562a52527a
1226664347a6
131313c18652
148c837ad42
1551d0099c9
hex30ed0226e

13133423214 has 64 divisors (see below), whose sum is σ = 30180314880. Its totient is φ = 4231038240.

The previous prime is 13133423183. The next prime is 13133423249. The reversal of 13133423214 is 41232433131.

It is a happy number.

13133423214 is a `hidden beast` number, since 1 + 3 + 1 + 334 + 2 + 321 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157509 + ... + 225999.

It is an arithmetic number, because the mean of its divisors is an integer number (471567420).

Almost surely, 213133423214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133423214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15090157440).

13133423214 is an abundant number, since it is smaller than the sum of its proper divisors (17046891666).

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

13133423214 is a wasteful number, since it uses less digits than its factorization.

13133423214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68622 (or 68616 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13133423214 its reverse (41232433131), we get a palindrome (54365856345).

The spelling of 13133423214 in words is "thirteen billion, one hundred thirty-three million, four hundred twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 67 106 134 159 201 318 402 477 603 954 1206 1431 1809 2862 3551 3618 7102 10653 21306 31959 63918 68491 95877 136982 191754 205473 410946 616419 1232838 1849257 3630023 3698514 4588897 7260046 9177794 10890069 13766691 21780138 27533382 32670207 41300073 65340414 82600146 98010621 123900219 196021242 243211541 247800438 486423082 729634623 1459269246 2188903869 4377807738 6566711607 13133423214