Search a number
-
+
102231330033313 = 13232394336075443
BaseRepresentation
bin10111001111101010010110…
…000111001000111010100001
3111101222012221011102122211101
4113033222112013020322201
5101344424230442031223
61001232231421114401
730350653442401315
oct2717522607107241
9441865834378741
10102231330033313
112a635077702978
12b5711496b8a01
1345074b07b3720
141b360466c9b45
15bc44114be4ad
hex5cfa961c8ea1

102231330033313 has 64 divisors (see below), whose sum is σ = 115840905707520. Its totient is φ = 89514995125248.

The previous prime is 102231330033299. The next prime is 102231330033379. The reversal of 102231330033313 is 313330033132201.

It is a cyclic number.

It is not a de Polignac number, because 102231330033313 - 29 = 102231330032801 is a prime.

It is a super-3 number, since 3×1022313300333133 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102231330033913) 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, 18782163370 + ... + 18782168812.

It is an arithmetic number, because the mean of its divisors is an integer number (1810014151680).

Almost surely, 2102231330033313 is an apocalyptic number.

102231330033313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102231330033313 is a deficient number, since it is larger than the sum of its proper divisors (13609575674207).

102231330033313 is a wasteful number, since it uses less digits than its factorization.

102231330033313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 102231330033313 its reverse (313330033132201), we get a palindrome (415561363165514).

The spelling of 102231330033313 in words is "one hundred two trillion, two hundred thirty-one billion, three hundred thirty million, thirty-three thousand, three hundred thirteen".

Divisors: 1 13 23 239 299 433 607 3107 5443 5497 5629 7891 9959 13961 70759 71461 103487 125189 129467 145073 181493 262831 1300877 1345331 1627457 1885949 2356819 2380201 3303901 3336679 3416803 6045113 16911401 29920171 30638647 30942613 42950713 43376827 54206837 62816609 75989723 78586469 388962223 563279741 704688881 789632339 816615917 987866399 1430589133 1444782007 7322636633 10265220407 12955434043 18161543797 18597658729 18782166091 32903550059 168420642559 236100069361 341910802787 427746150767 4444840436231 7863948464101 102231330033313