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12240213234315 = 35111717325223771
BaseRepresentation
bin1011001000011110010110…
…0011111101001010001011
31121100011010111122202021120
42302013211203331022023
53101020424041444230
642011024253210323
72402216615554503
oct262074543751213
947304114582246
1012240213234315
11399a0552a6150
12145829a7909a3
136aa32a000361
143046026d6a03
151635e194c310
hexb21e58fd28b

12240213234315 has 64 divisors (see below), whose sum is σ = 22752245924352. Its totient is φ = 5553265203200.

The previous prime is 12240213234251. The next prime is 12240213234329. The reversal of 12240213234315 is 51343231204221.

It is a happy number.

It is not a de Polignac number, because 12240213234315 - 26 = 12240213234251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 12126621 + ... + 13097150.

It is an arithmetic number, because the mean of its divisors is an integer number (355503842568).

Almost surely, 212240213234315 is an apocalyptic number.

12240213234315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12240213234315 is a deficient number, since it is larger than the sum of its proper divisors (10512032690037).

12240213234315 is a wasteful number, since it uses less digits than its factorization.

12240213234315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25223980.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 12240213234315 its reverse (51343231204221), we get a palindrome (63583444438536).

The spelling of 12240213234315 in words is "twelve trillion, two hundred forty billion, two hundred thirteen million, two hundred thirty-four thousand, three hundred fifteen".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 173 187 255 519 561 865 935 1903 2595 2805 2941 5709 8823 9515 14705 28545 32351 44115 97053 161755 485265 25223771 75671313 126118855 277461481 378356565 428804107 832384443 1286412321 1387307405 2144020535 4161922215 4363712383 4716845177 6432061605 13091137149 14150535531 21818561915 23584225885 48000836213 65455685745 70752677655 74183110511 144002508639 222549331533 240004181065 370915552555 720012543195 816014215621 1112746657665 2448042646863 4080071078105 12240213234315