Search a number
-
+
124020102210345 = 325112834631912139
BaseRepresentation
bin11100001100101110101110…
…001000110010001100101001
3121021010012120011022211100200
4130030232232020302030221
5112223421132131212340
61115434014243022413
735060104514153445
oct3414565610621451
9537105504284320
10124020102210345
11365756a2555a60
1211aabb1536aa09
135428078b38913
14228a86809d825
15e510aa31b330
hex70cbae232329

124020102210345 has 96 divisors (see below), whose sum is σ = 235847814359040. Its totient is φ = 59789036926080.

The previous prime is 124020102210343. The next prime is 124020102210377. The reversal of 124020102210345 is 543012201020421.

124020102210345 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 2 + 0 + 102 + 210 + 345 = 666.

It is not a de Polignac number, because 124020102210345 - 21 = 124020102210343 is a prime.

It is a super-4 number, since 4×1240201022103454 (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (124020102210343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63903286 + ... + 65815424.

It is an arithmetic number, because the mean of its divisors is an integer number (2456748066240).

Almost surely, 2124020102210345 is an apocalyptic number.

124020102210345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

124020102210345 is a deficient number, since it is larger than the sum of its proper divisors (111827712148695).

124020102210345 is a wasteful number, since it uses less digits than its factorization.

124020102210345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912907 (or 1912904 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 124020102210345 its reverse (543012201020421), we get a palindrome (667032303230766).

The spelling of 124020102210345 in words is "one hundred twenty-four trillion, twenty billion, one hundred two million, two hundred ten thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 283 463 495 849 1389 1415 2315 2547 3113 4167 4245 5093 6945 9339 12735 15279 15565 20835 25465 28017 45837 46695 76395 131029 140085 229185 393087 655145 1179261 1441319 1912139 1965435 4323957 5736417 5896305 7206595 9560695 12971871 17209251 21033529 21619785 28682085 63100587 64859355 86046255 105167645 189301761 315502935 541135337 885320357 946508805 1623406011 2655961071 2705676685 4426601785 4870218033 5952488707 7967883213 8117030055 9738523927 13279805355 17857466121 24351090165 29215571781 29762443535 39839416065 48692619635 53572398363 87646715343 89287330605 146077858905 250545661031 267861991815 438233576715 751636983093 1252728305155 2254910949279 2756002271341 3758184915465 8268006814023 11274554746395 13780011356705 24804020442069 41340034070115 124020102210345