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13330023023130 = 23511215712337481
BaseRepresentation
bin1100000111111010001101…
…0010011000001000011010
31202012100010020001011012020
43001332203102120020122
53221344341343220010
644203421131155310
72544030253122522
oct301764322301032
952170106034166
1013330023023130
11427a25a535700
1215b35458a5b36
13759028880568
14341268686682
15181b279bb470
hexc1fa349821a

13330023023130 has 96 divisors (see below), whose sum is σ = 35187219837504. Its totient is φ = 3229462368000.

The previous prime is 13330023023101. The next prime is 13330023023159. The reversal of 13330023023130 is 3132032003331.

It is an interprime number because it is at equal distance from previous prime (13330023023101) and next prime (13330023023159).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13330023023130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4533990 + ... + 6871470.

It is an arithmetic number, because the mean of its divisors is an integer number (366533539974).

Almost surely, 213330023023130 is an apocalyptic number.

13330023023130 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 13330023023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593609918752).

13330023023130 is an abundant number, since it is smaller than the sum of its proper divisors (21857196814374).

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

13330023023130 is a wasteful number, since it uses less digits than its factorization.

13330023023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339084 (or 2339073 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13330023023130 its reverse (3132032003331), we get a palindrome (16462055026461).

The spelling of 13330023023130 in words is "thirteen trillion, three hundred thirty billion, twenty-three million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1571 1815 3142 3630 4713 7855 9426 15710 17281 23565 34562 47130 51843 86405 103686 172810 190091 259215 380182 518430 570273 950455 1140546 1900910 2337481 2851365 4674962 5702730 7012443 11687405 14024886 23374810 25712291 35062215 51424582 70124430 77136873 128561455 154273746 257122910 282835201 385684365 565670402 771368730 848505603 1414176005 1697011206 2828352010 3672182651 4242528015 7344365302 8485056030 11016547953 18360913255 22033095906 36721826510 40394009161 55082739765 80788018322 110165479530 121182027483 201970045805 242364054966 403940091610 444334100771 605910137415 888668201542 1211820274830 1333002302313 2221670503855 2666004604626 4443341007710 6665011511565 13330023023130