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1131201414 = 2327101103863
BaseRepresentation
bin100001101101100…
…1100001110000110
32220211112222121200
41003123030032012
54304041421124
6304125323330
740014024210
oct10333141606
92824488550
101131201414
11530596402
12276a06546
13150486765
14aa3415b0
156949abc9
hex436cc386

1131201414 has 96 divisors (see below), whose sum is σ = 2859577344. Its totient is φ = 316526400.

The previous prime is 1131201397. The next prime is 1131201427. The reversal of 1131201414 is 4141021311.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1310347 + ... + 1311209.

It is an arithmetic number, because the mean of its divisors is an integer number (29787264).

Almost surely, 21131201414 is an apocalyptic number.

1131201414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131201414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429788672).

1131201414 is an abundant number, since it is smaller than the sum of its proper divisors (1728375930).

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

1131201414 is a wasteful number, since it uses less digits than its factorization.

1131201414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1131201414 is about 33633.3378361411. The cubic root of 1131201414 is about 1041.9494420549.

Adding to 1131201414 its reverse (4141021311), we get a palindrome (5272222725).

The spelling of 1131201414 in words is "one billion, one hundred thirty-one million, two hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 103 126 202 206 303 309 606 618 707 721 863 909 927 1414 1442 1726 1818 1854 2121 2163 2589 4242 4326 5178 6041 6363 6489 7767 10403 12082 12726 12978 15534 18123 20806 31209 36246 54369 62418 72821 87163 88889 93627 108738 145642 174326 177778 187254 218463 261489 266667 436926 522978 533334 610141 622223 655389 784467 800001 1220282 1244446 1310778 1568934 1600002 1830423 1866669 3660846 3733338 5491269 5600007 8977789 10982538 11200014 17955578 26933367 53866734 62844523 80800101 125689046 161600202 188533569 377067138 565600707 1131201414