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13023122320 = 2451331676029
BaseRepresentation
bin11000010000011110…
…10001001110010000
31020121121022011022201
430020033101032100
5203132404403240
65552134412544
7640503466435
oct141017211620
936547264281
1013023122320
11558323860a
122635501154
1312c7109350
148b7867b8c
155134bcd9a
hex3083d1390

13023122320 has 160 divisors (see below), whose sum is σ = 34167813120. Its totient is φ = 4583208960.

The previous prime is 13023122309. The next prime is 13023122327. The reversal of 13023122320 is 2322132031.

It is not an unprimeable number, because it can be changed into a prime (13023122327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2157066 + ... + 2163094.

It is an arithmetic number, because the mean of its divisors is an integer number (213548832).

Almost surely, 213023122320 is an apocalyptic number.

13023122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17083906560).

13023122320 is an abundant number, since it is smaller than the sum of its proper divisors (21144690800).

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

13023122320 is a wasteful number, since it uses less digits than its factorization.

13023122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13023122320 its reverse (2322132031), we get a palindrome (15345254351).

The spelling of 13023122320 in words is "thirteen billion, twenty-three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 67 80 104 124 130 134 155 208 248 260 268 310 335 403 496 520 536 620 670 806 871 1040 1072 1240 1340 1612 1742 2015 2077 2480 2680 3224 3484 4030 4154 4355 5360 6029 6448 6968 8060 8308 8710 10385 12058 13936 16120 16616 17420 20770 24116 27001 30145 32240 33232 34840 41540 48232 54002 60290 69680 78377 83080 96464 108004 120580 135005 156754 166160 186899 216008 241160 270010 313508 373798 391885 403943 432016 482320 540020 627016 747596 783770 807886 934495 1080040 1254032 1495192 1567540 1615772 1868990 2019715 2160080 2429687 2990384 3135080 3231544 3737980 4039430 4859374 5251259 6270160 6463088 7475960 8078860 9718748 10502518 12148435 12522233 14951920 16157720 19437496 21005036 24296870 25044466 26256295 32315440 38874992 42010072 48593740 50088932 52512590 62611165 84020144 97187480 100177864 105025180 125222330 162789029 194374960 200355728 210050360 250444660 325578058 420100720 500889320 651156116 813945145 1001778640 1302312232 1627890290 2604624464 3255780580 6511561160 13023122320