Search a number
-
+
1311143312430 = 2325712716387243
BaseRepresentation
bin10011000101000110001…
…110110011110000101110
311122100021211110101011100
4103011012032303300232
5132440210141444210
62442155251303530
7163504232161620
oct23050616636056
94570254411140
101311143312430
11466064244806
121921372aaba6
139684291ba33
14476614c2c10
152418c3725c0
hex131463b3c2e

1311143312430 has 96 divisors (see below), whose sum is σ = 3926645858304. Its totient is φ = 297330118848.

The previous prime is 1311143312393. The next prime is 1311143312449. The reversal of 1311143312430 is 342133411131.

1311143312430 is a `hidden beast` number, since 1 + 311 + 1 + 4 + 3 + 312 + 4 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1311143312394 and 1311143312403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8113612 + ... + 8273631.

It is an arithmetic number, because the mean of its divisors is an integer number (40902561024).

Almost surely, 21311143312430 is an apocalyptic number.

1311143312430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311143312430 is an abundant number, since it is smaller than the sum of its proper divisors (2615502545874).

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

1311143312430 is a wasteful number, since it uses less digits than its factorization.

1311143312430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16387390 (or 16387387 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1311143312430 its reverse (342133411131), we get a palindrome (1653276723561).

The spelling of 1311143312430 in words is "one trillion, three hundred eleven billion, one hundred forty-three million, three hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 127 210 254 315 381 630 635 762 889 1143 1270 1778 1905 2286 2667 3810 4445 5334 5715 8001 8890 11430 13335 16002 26670 40005 80010 16387243 32774486 49161729 81936215 98323458 114710701 147485187 163872430 229421402 245808645 294970374 344132103 491617290 573553505 688264206 737425935 1032396309 1147107010 1474851870 1720660515 2064792618 2081179861 3441321030 4162359722 5161981545 6243539583 10323963090 10405899305 12487079166 14568259027 18730618749 20811798610 29136518054 31217697915 37461237498 43704777081 62435395830 72841295135 87409554162 93653093745 131114331243 145682590270 187306187490 218523885405 262228662486 437047770810 655571656215 1311143312430