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132031433012401 = 133141179241185233
BaseRepresentation
bin11110000001010011110110…
…101010011111010010110001
3122022111002012120121121120101
4132001103312222133102301
5114301200333322344101
61144450223013312401
736544645664334226
oct3601236652372261
9568432176547511
10132031433012401
113908424197950a
12129846ab935701
13588968404b280
1424864d951d94d
15103e691db6401
hex7814f6a9f4b1

132031433012401 has 64 divisors (see below), whose sum is σ = 151822409840640. Its totient is φ = 113948798976000.

The previous prime is 132031433012371. The next prime is 132031433012429. The reversal of 132031433012401 is 104210334130231.

It is a cyclic number.

It is not a de Polignac number, because 132031433012401 - 239 = 131481677198513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132031433012401.

It is not an unprimeable number, because it can be changed into a prime (132031433012701) 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, 712693081 + ... + 712878313.

It is an arithmetic number, because the mean of its divisors is an integer number (2372225153760).

Almost surely, 2132031433012401 is an apocalyptic number.

It is an amenable number.

132031433012401 is a deficient number, since it is larger than the sum of its proper divisors (19790976828239).

132031433012401 is a wasteful number, since it uses less digits than its factorization.

132031433012401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185738.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 132031433012401 its reverse (104210334130231), we get a palindrome (236241767142632).

The spelling of 132031433012401 in words is "one hundred thirty-two trillion, thirty-one billion, four hundred thirty-three million, twelve thousand, four hundred one".

Divisors: 1 13 31 41 179 241 403 533 1271 2327 3133 5549 7339 7471 9881 16523 43139 72137 95407 97123 128453 185233 227509 306311 560807 1337309 1768699 2408029 2957617 3982043 5742223 7594553 17385017 22993087 33156707 44641153 54829669 74648899 98729189 235431143 431037191 580334989 712785697 1027857917 1359424987 1383875743 1830287273 3060604859 7990766387 13362152921 17672524831 17990384659 23793734549 42142174597 56738905463 103879963031 247713757997 327621421867 547848269761 737605771019 3220278853961 4259078484271 10156264077877 132031433012401