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13331110030040 = 23511173175132817
BaseRepresentation
bin1100000111111110010000…
…0100111110101011011000
31202012102220222102211100102
43001333210010332223120
53221404103131430130
644204121041354532
72544066222412055
oct301774404765330
952172828384312
1013331110030040
11427a768086020
1215b37a9938a48
1375916cb3220a
1434132cba202c
15181b8d137645
hexc1fe413ead8

13331110030040 has 64 divisors (see below), whose sum is σ = 32910959158560. Its totient is φ = 4819655096320.

The previous prime is 13331110030033. The next prime is 13331110030061. The reversal of 13331110030040 is 4003001113331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13331110029994 and 13331110030021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87490289 + ... + 87642528.

Almost surely, 213331110030040 is an apocalyptic number.

13331110030040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331110030040 is an abundant number, since it is smaller than the sum of its proper divisors (19579849128520).

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

13331110030040 is a wasteful number, since it uses less digits than its factorization.

13331110030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175133012 (or 175133008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13331110030040 its reverse (4003001113331), we get a palindrome (17334111143371).

The spelling of 13331110030040 in words is "thirteen trillion, three hundred thirty-one billion, one hundred ten million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 173 220 346 440 692 865 1384 1730 1903 3460 3806 6920 7612 9515 15224 19030 38060 76120 175132817 350265634 700531268 875664085 1401062536 1751328170 1926460987 3502656340 3852921974 7005312680 7705843948 9632304935 15411687896 19264609870 30297977341 38529219740 60595954682 77058439480 121191909364 151489886705 242383818728 302979773410 333277750751 605959546820 666555501502 1211919093640 1333111003004 1666388753755 2666222006008 3332777507510 6665555015020 13331110030040