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13023021330 = 23251169119037
BaseRepresentation
bin11000010000011101…
…11000100100010010
31020121121010000210100
430020032320210102
5203132343140310
65552132313230
7640502566134
oct141016704422
936547100710
1013023021330
115583179750
122635472816
1312c70a23a7
148b783d054
1551349cec0
hex3083b8912

13023021330 has 96 divisors (see below), whose sum is σ = 36993423168. Its totient is φ = 3152361600.

The previous prime is 13023021307. The next prime is 13023021359. The reversal of 13023021330 is 3312032031.

13023021330 is a `hidden beast` number, since 1 + 30 + 2 + 302 + 1 + 330 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674572 + ... + 693608.

It is an arithmetic number, because the mean of its divisors is an integer number (385348158).

Almost surely, 213023021330 is an apocalyptic number.

13023021330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496711584).

13023021330 is an abundant number, since it is smaller than the sum of its proper divisors (23970401838).

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

13023021330 is a wasteful number, since it uses less digits than its factorization.

13023021330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19752 (or 19749 counting only the distinct ones).

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

Adding to 13023021330 its reverse (3312032031), we get a palindrome (16335053361).

The spelling of 13023021330 in words is "thirteen billion, twenty-three million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 691 990 1382 2073 3455 4146 6219 6910 7601 10365 12438 15202 19037 20730 22803 31095 38005 38074 45606 57111 62190 68409 76010 95185 114015 114222 136818 171333 190370 209407 228030 285555 342045 342666 418814 571110 628221 684090 856665 1047035 1256442 1713330 1884663 2094070 3141105 3769326 6282210 9423315 13154567 18846630 26309134 39463701 65772835 78927402 118391103 131545670 144700237 197318505 236782206 289400474 394637010 434100711 591955515 723501185 868201422 1183911030 1302302133 1447002370 2170503555 2604604266 4341007110 6511510665 13023021330