Search a number
-
+
30103310112144 = 2435398837119723
BaseRepresentation
bin1101101100000111110010…
…00110110001010110010000
310221120211220102220012221220
412312003321012301112100
512421203034342042034
6144005134133245040
76224615042014353
oct666037106612620
9127524812805856
1030103310112144
119656818848425
123462281793780
1313a4964961919
14761017c9a29a
153730c9912749
hex1b60f91b1590

30103310112144 has 80 divisors (see below), whose sum is σ = 79235647647552. Its totient is φ = 9844925868544.

The previous prime is 30103310112143. The next prime is 30103310112181. The reversal of 30103310112144 is 44121101330103.

It is a happy number.

It is a super-2 number, since 2×301033101121442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30103310112143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251381467 + ... + 251501189.

Almost surely, 230103310112144 is an apocalyptic number.

It is an amenable number.

30103310112144 is an abundant number, since it is smaller than the sum of its proper divisors (49132337535408).

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

30103310112144 is a wasteful number, since it uses less digits than its factorization.

30103310112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218624 (or 218618 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 30103310112144 its reverse (44121101330103), we get a palindrome (74224411442247).

The spelling of 30103310112144 in words is "thirty trillion, one hundred three billion, three hundred ten million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 98837 119723 197674 239446 296511 359169 395348 478892 593022 718338 790696 957784 1186044 1436676 1581392 1915568 2372088 2873352 4744176 5238361 5746704 6345319 10476722 12690638 15715083 19035957 20953444 25381276 31430166 38071914 41906888 50762552 62860332 76143828 83813776 101525104 125720664 152287656 251441328 304575312 11833062151 23666124302 35499186453 47332248604 70998372906 94664497208 141996745812 189328994416 283993491624 567986983248 627152294003 1254304588006 1881456882009 2508609176012 3762913764018 5017218352024 7525827528036 10034436704048 15051655056072 30103310112144