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13021023002130 = 23351113337244833
BaseRepresentation
bin1011110101111011000101…
…1100110101111000010010
31201002210112110222200122000
42331132301130311320102
53201314023342032010
643405435252254430
72512511042230653
oct275366134657022
951083473880560
1013021023002130
114170204033420
12156368a311416
13735b53294c50
1433031412552a
15178a901297c0
hexbd7b1735e12

13021023002130 has 128 divisors (see below), whose sum is σ = 40793135120640. Its totient is φ = 2913795348480.

The previous prime is 13021023002101. The next prime is 13021023002137. The reversal of 13021023002130 is 3120032012031.

13021023002130 is a `hidden beast` number, since 1 + 302 + 1 + 0 + 230 + 0 + 2 + 130 = 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 (13021023002137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168583807 + ... + 168661026.

It is an arithmetic number, because the mean of its divisors is an integer number (318696368130).

Almost surely, 213021023002130 is an apocalyptic number.

13021023002130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13021023002130 is an abundant number, since it is smaller than the sum of its proper divisors (27772112118510).

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

13021023002130 is a wasteful number, since it uses less digits than its factorization.

13021023002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337244873 (or 337244867 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13021023002130 its reverse (3120032012031), we get a palindrome (16141055014161).

Subtracting from 13021023002130 its reverse (3120032012031), we obtain a palindrome (9900990990099).

The spelling of 13021023002130 in words is "thirteen trillion, twenty-one billion, twenty-three million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1287 1430 1485 1755 2145 2574 2970 3510 3861 4290 6435 7722 12870 19305 38610 337244833 674489666 1011734499 1686224165 2023468998 3035203497 3372448330 3709693163 4384182829 5058672495 6070406994 7419386326 8768365658 9105610491 10117344990 11129079489 13152548487 15176017485 18211220982 18548465815 21920914145 22258158978 26305096974 30352034970 33387238467 37096931630 39457645461 43841828290 45528052455 48226011119 55645397445 65762742435 66774476934 78915290922 91056104910 96452022238 100161715401 111290794890 118372936383 131525484870 144678033357 166936192335 197288227305 200323430802 236745872766 241130055595 289356066714 333872384670 394576454610 434034100071 482260111190 500808577005 591864681915 723390166785 868068200142 1001617154010 1183729363830 1302102300213 1446780333570 2170170500355 2604204600426 4340341000710 6510511501065 13021023002130