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132314525112 = 23371126508979
BaseRepresentation
bin111101100111010001…
…1110110110110111000
3110122112020010022012010
41323032203312312320
54131440004300422
6140441235245520
712362606622660
oct1731643666670
9418466108163
10132314525112
1151129111100
1221787a498a0
13c628564113
146592a391a0
153696153b0c
hex1ece8f6db8

132314525112 has 96 divisors (see below), whose sum is σ = 415533283200. Its totient is φ = 34367403840.

The previous prime is 132314525107. The next prime is 132314525117. The reversal of 132314525112 is 211525413231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132314525107) and next prime (132314525117).

It is a super-2 number, since 2×1323145251122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132314525112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132314525117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3234162 + ... + 3274817.

It is an arithmetic number, because the mean of its divisors is an integer number (4328471700).

Almost surely, 2132314525112 is an apocalyptic number.

132314525112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132314525112 is an abundant number, since it is smaller than the sum of its proper divisors (283218758088).

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

132314525112 is a wasteful number, since it uses less digits than its factorization.

132314525112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509017 (or 6509002 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

Adding to 132314525112 its reverse (211525413231), we get a palindrome (343839938343).

The spelling of 132314525112 in words is "one hundred thirty-two billion, three hundred fourteen million, five hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 20328 6508979 13017958 19526937 26035916 39053874 45562853 52071832 71598769 78107748 91125706 136688559 143197538 156215496 182251412 214796307 273377118 286395076 364502824 429592614 501191383 546754236 572790152 787586459 859185228 1002382766 1093508472 1503574149 1575172918 1718370456 2004765532 2362759377 3007148298 3150345836 4009531064 4725518754 5513105213 6014296596 6300691672 9451037508 11026210426 12028593192 16539315639 18902075016 22052420852 33078631278 44104841704 66157262556 132314525112