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132300312000031 = 7293161844740801
BaseRepresentation
bin11110000101001110010001…
…000110011011011000011111
3122100102210020012212102001201
4132011032101012123120133
5114320102014333000111
61145213531351220331
736603245031121240
oct3605162106333037
9570383205772051
10132300312000031
113917827a07557a
1212a0882a9776a7
1358a8b34487c56
1424955253a8cc7
15104667c3146c1
hex78539119b61f

132300312000031 has 64 divisors (see below), whose sum is σ = 164130112143360. Its totient is φ = 104206072320000.

The previous prime is 132300312000013. The next prime is 132300312000037. The reversal of 132300312000031 is 130000213003231.

It is a de Polignac number, because none of the positive numbers 2k-132300312000031 is a prime.

It is a super-2 number, since 2×1323003120000312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132300311999972 and 132300312000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300312000037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3242554831 + ... + 3242595631.

It is an arithmetic number, because the mean of its divisors is an integer number (2564533002240).

Almost surely, 2132300312000031 is an apocalyptic number.

132300312000031 is a deficient number, since it is larger than the sum of its proper divisors (31829800143329).

132300312000031 is a wasteful number, since it uses less digits than its factorization.

132300312000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49376.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 132300312000031 its reverse (130000213003231), we get a palindrome (262300525003262).

The spelling of 132300312000031 in words is "one hundred thirty-two trillion, three hundred billion, three hundred twelve million, thirty-one", and thus it is an aban number.

Divisors: 1 7 29 31 61 203 217 427 899 1769 1891 6293 8447 12383 13237 40801 54839 59129 244963 261857 285607 383873 515267 1183229 1264831 1714741 1832999 2488861 3606869 7593853 8282603 8853817 14942743 15973277 17422027 36680099 53156971 72176969 77154691 104599201 111812939 256760693 344646047 463225033 505238783 540082837 2237486039 2412522329 3242575231 9994735363 10684027457 15662402273 21023408867 69963147541 74788192199 147163862069 309836796253 609678857143 651725674877 2168857573771 4267752000001 4562079724139 18900044571433 132300312000031