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132340023221133 = 37134323321483407
BaseRepresentation
bin11110000101110011010000…
…000100101101101110001101
3122100120120201202112110101110
4132011303100010231232031
5114321224331421034013
61145244100052402233
736606152100666120
oct3605632004555615
9570516652473343
10132340023221133
11391930a8013772
1212a14472016379
1358ac7c276b010
1424974114843b7
1510477037a72c3
hex785cd012db8d

132340023221133 has 64 divisors (see below), whose sum is σ = 222233903603712. Its totient is φ = 68179272860160.

The previous prime is 132340023221009. The next prime is 132340023221177. The reversal of 132340023221133 is 331122320043231.

It is not a de Polignac number, because 132340023221133 - 214 = 132340023204749 is a prime.

It is a super-2 number, since 2×1323400232211332 (a number of 29 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 132340023221133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132340023261133) 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 63 ways as a sum of consecutive naturals, for example, 273523516 + ... + 274006922.

It is an arithmetic number, because the mean of its divisors is an integer number (3472404743808).

Almost surely, 2132340023221133 is an apocalyptic number.

132340023221133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132340023221133 is a deficient number, since it is larger than the sum of its proper divisors (89893880382579).

132340023221133 is a wasteful number, since it uses less digits than its factorization.

132340023221133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506794.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 132340023221133 its reverse (331122320043231), we get a palindrome (463462343264364).

The spelling of 132340023221133 in words is "one hundred thirty-two trillion, three hundred forty billion, twenty-three million, two hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 13 21 39 43 91 129 273 301 559 903 1677 3913 11739 23321 69963 163247 303173 483407 489741 909519 1002803 1450221 2122211 3008409 3383849 6284291 6366633 7019621 10151547 13036439 18852873 20786501 21058863 39109317 43990037 62359503 91255073 131970111 145505507 270224513 273765219 436516521 810673539 1891571591 5674714773 11273534647 33820603941 78914742529 146555950411 236744227587 439667851233 484761989821 1025891652877 1454285969463 3077674958631 3393333928747 6301905867673 10180001786241 18905717603019 44113341073711 132340023221133