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132140313300033 = 351515750362627
BaseRepresentation
bin11110000010111001010000…
…011011110100110001000001
3122022212111020122002022100000
4132002321100123310301001
5114304441330201100113
61145012231043550213
736555552101451153
oct3602712033646101
9568774218068300
10132140313300033
1139116434a700a5
12129a181768b369
135896a16584c7c
14248b8a7b12ad3
151042415a32373
hex782e506f4c41

132140313300033 has 48 divisors (see below), whose sum is σ = 199256074407936. Its totient is φ = 87507222123600.

The previous prime is 132140313300013. The next prime is 132140313300089. The reversal of 132140313300033 is 330003313041231.

132140313300033 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 40 + 313 + 300 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 132140313300033 - 28 = 132140313299777 is a prime.

It is a super-2 number, since 2×1321403133000332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132140313300013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2109926266 + ... + 2109988892.

It is an arithmetic number, because the mean of its divisors is an integer number (4151168216832).

Almost surely, 2132140313300033 is an apocalyptic number.

It is an amenable number.

132140313300033 is a deficient number, since it is larger than the sum of its proper divisors (67115761107903).

132140313300033 is an equidigital number, since it uses as much as digits as its factorization.

132140313300033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120296 (or 120284 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132140313300033 its reverse (330003313041231), we get a palindrome (462143626341264).

The spelling of 132140313300033 in words is "one hundred thirty-two trillion, one hundred forty billion, three hundred thirteen million, three hundred thousand, thirty-three".

Divisors: 1 3 9 27 81 151 243 453 1359 4077 12231 36693 57503 62627 172509 187881 517527 563643 1552581 1690929 4657743 5072787 8682953 9456677 13973229 15218361 26048859 28370031 78146577 85110093 234439731 255330279 703319193 765990837 2109957579 2297972511 3601240381 10803721143 32411163429 97233490287 291700470861 543787297531 875101412583 1631361892593 4894085677779 14682257033337 44046771100011 132140313300033