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13020312330 = 2335154331253
BaseRepresentation
bin11000010000001001…
…00011001100001010
31020121102000101202000
430020010203030022
5203131144443310
65551554251430
7640440554154
oct141004431412
936542011660
1013020312330
115581699403
122634586b76
1312c666432c
148b7335ad4
155131154c0
hex30812330a

13020312330 has 64 divisors (see below), whose sum is σ = 34744446720. Its totient is φ = 3469722048.

The previous prime is 13020312329. The next prime is 13020312337. The reversal of 13020312330 is 3321302031.

13020312330 is a `hidden beast` number, since 1 + 3 + 0 + 20 + 312 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13020312337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400984 + ... + 432236.

It is an arithmetic number, because the mean of its divisors is an integer number (542881980).

Almost surely, 213020312330 is an apocalyptic number.

13020312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13020312330 is an abundant number, since it is smaller than the sum of its proper divisors (21724134390).

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

13020312330 is a wasteful number, since it uses less digits than its factorization.

13020312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32812 (or 32806 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13020312330 its reverse (3321302031), we get a palindrome (16341614361).

The spelling of 13020312330 in words is "thirteen billion, twenty million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1543 3086 4629 7715 9258 13887 15430 23145 27774 31253 41661 46290 62506 69435 83322 93759 138870 156265 187518 208305 281277 312530 416610 468795 562554 843831 937590 1406385 1687662 2812770 4219155 8438310 48223379 96446758 144670137 241116895 289340274 434010411 482233790 723350685 868020822 1302031233 1446701370 2170052055 2604062466 4340104110 6510156165 13020312330