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20334135432345 = 3577130785910343
BaseRepresentation
bin1001001111110011010001…
…11010110101010010011001
32122222220221212020011110220
410213321220322311102121
510131123302132313340
6111125212312030253
74166043555234210
oct447715072652231
978886855204426
1020334135432345
11652a727383949
122344a84992389
13b46668197407
1450426ab34077
15253e0e246ed0
hex127e68eb5499

20334135432345 has 128 divisors (see below), whose sum is σ = 37876636385280. Its totient is φ = 9123311957760.

The previous prime is 20334135432343. The next prime is 20334135432349. The reversal of 20334135432345 is 54323453143302.

It is not a de Polignac number, because 20334135432345 - 21 = 20334135432343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20334135432297 and 20334135432306.

It is not an unprimeable number, because it can be changed into a prime (20334135432343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1965975244 + ... + 1965985586.

It is an arithmetic number, because the mean of its divisors is an integer number (295911221760).

Almost surely, 220334135432345 is an apocalyptic number.

It is an amenable number.

20334135432345 is a deficient number, since it is larger than the sum of its proper divisors (17542500952935).

20334135432345 is a wasteful number, since it uses less digits than its factorization.

20334135432345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11595.

The product of its (nonzero) digits is 1555200, while the sum is 42.

Adding to 20334135432345 its reverse (54323453143302), we get a palindrome (74657588575647).

The spelling of 20334135432345 in words is "twenty trillion, three hundred thirty-four billion, one hundred thirty-five million, four hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 71 105 213 307 355 497 859 921 1065 1491 1535 2149 2485 2577 4295 4605 6013 6447 7455 10343 10745 12885 18039 21797 30065 31029 32235 51715 60989 65391 72401 90195 108985 152579 155145 182967 217203 263713 304945 326955 362005 426923 457737 734353 762895 791139 914835 1086015 1280769 1318565 1845991 2134615 2203059 2288685 3175301 3671765 3955695 5140471 5537973 6403845 8884637 9229955 9525903 11015295 15421413 15876505 18723623 22227107 25702355 26653911 27689865 44423185 47629515 56170869 62192459 66681321 77107065 93618115 111135535 131065361 133269555 186577377 225446371 280854345 310962295 333406605 393196083 630809227 655326805 676339113 932886885 1127231855 1578124597 1892427681 1965980415 2727583559 3154046135 3381695565 4415664589 4734373791 7890622985 8182750677 9462138405 13246993767 13637917795 19093084913 22078322945 23671868955 40913753385 57279254739 66234968835 95465424565 193658432689 286396273695 580975298067 968292163445 1355609028823 2904876490335 4066827086469 6778045144115 20334135432345