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132114440402310 = 23531973001488011
BaseRepresentation
bin11110000010100001001010…
…010010100011010110000110
3122022210000110111122220221210
4132002201022102203112012
5114304030333220333220
61144552311441552250
736553644664450362
oct3602411222432606
9568700414586853
10132114440402310
11391064684330a3
12129987b6945686
135894452254132
14248a5318662a2
1510418ee3d86e0
hex78284a4a3586

132114440402310 has 128 divisors (see below), whose sum is σ = 330787994923008. Its totient is φ = 33731251200000.

The previous prime is 132114440402303. The next prime is 132114440402431. The reversal of 132114440402310 is 13204044411231.

It is a happy number.

It is a super-2 number, since 2×1321144404023102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270476205 + ... + 270964215.

It is an arithmetic number, because the mean of its divisors is an integer number (2584281210336).

Almost surely, 2132114440402310 is an apocalyptic number.

132114440402310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132114440402310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165393997461504).

132114440402310 is an abundant number, since it is smaller than the sum of its proper divisors (198673554520698).

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

132114440402310 is a wasteful number, since it uses less digits than its factorization.

132114440402310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491150.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 132114440402310 its reverse (13204044411231), we get a palindrome (145318484813541).

The spelling of 132114440402310 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred forty million, four hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 97 155 186 194 291 310 465 485 582 930 970 1455 2910 3001 3007 6002 6014 9003 9021 15005 15035 18006 18042 30010 30070 45015 45105 90030 90210 93031 186062 279093 291097 465155 488011 558186 582194 873291 930310 976022 1395465 1455485 1464033 1746582 2440055 2790930 2910970 2928066 4366455 4880110 7320165 8732910 9024007 14640330 15128341 18048014 27072021 30256682 45120035 45385023 47337067 54144042 75641705 90240070 90770046 94674134 135360105 142011201 151283410 226925115 236685335 270720210 284022402 453850230 473370670 710056005 1420112010 1464521011 1467449077 2929042022 2934898154 4393563033 4402347231 7322605055 7337245385 8787126066 8804694462 14645210110 14674490770 21967815165 22011736155 43935630330 44023472310 45400151341 90800302682 136200454023 142058538067 227000756705 272400908046 284117076134 426175614201 454001513410 681002270115 710292690335 852351228402 1362004540230 1420585380670 2130878071005 4261756142010 4403814680077 8807629360154 13211444040231 22019073400385 26422888080462 44038146800770 66057220201155 132114440402310