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131424122032340 = 22513761778798779
BaseRepresentation
bin11101111000011110010000…
…000110111101000011010100
3122020100000122000212021211212
4131320132100012331003110
5114211223100220013330
61143303224055320552
736453036155226434
oct3570362006750324
9566300560767755
10131424122032340
113896a725738435
12128a6a60680158
13584431a844377
142464d662cc2c4
15102d99a2a2295
hex7787901bd0d4

131424122032340 has 96 divisors (see below), whose sum is σ = 278812404097920. Its totient is φ = 52034619377664.

The previous prime is 131424122032319. The next prime is 131424122032363. The reversal of 131424122032340 is 43230221424131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131424122032297 and 131424122032306.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1330437071 + ... + 1330535849.

It is an arithmetic number, because the mean of its divisors is an integer number (2904295876020).

Almost surely, 2131424122032340 is an apocalyptic number.

131424122032340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131424122032340 is an abundant number, since it is smaller than the sum of its proper divisors (147388282065580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131424122032340 is a wasteful number, since it uses less digits than its factorization.

131424122032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100329 (or 100327 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131424122032340 its reverse (43230221424131), we get a palindrome (174654343456471).

The spelling of 131424122032340 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, one hundred twenty-two million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 617 685 787 1234 1370 1574 2468 2740 3085 3148 3935 6170 7870 12340 15740 84529 98779 107819 169058 197558 215638 338116 395116 422645 431276 485579 493895 539095 845290 971158 987790 1078190 1690580 1942316 1975580 2156380 2427895 4855790 9711580 13532723 27065446 54130892 60946643 66524323 67663615 77739073 121893286 133048646 135327230 155478146 243786572 266097292 270654460 304733215 310956292 332621615 388695365 609466430 665243230 777390730 1218932860 1330486460 1554781460 8349690091 10650253001 16699380182 21300506002 33398760364 41748450455 42601012004 47965008041 53251265005 83496900910 95930016082 106502530010 166993801820 191860032164 213005060020 239825040205 479650080410 959300160820 6571206101617 13142412203234 26284824406468 32856030508085 65712061016170 131424122032340