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2332414142331 = 372133779741389
BaseRepresentation
bin100001111100001110101…
…101110110011101111011
322020222100221200220210020
4201330032231312131323
5301203241010023311
64543255105421523
7330340253044200
oct41741655663573
98228327626706
102332414142331
1181a197a82a69
1231805493a8a3
1313bc3a955b50
1480c648dbca7
1540a111d1c06
hex21f0eb7677b

2332414142331 has 96 divisors (see below), whose sum is σ = 4006312269120. Its totient is φ = 1195502644224.

The previous prime is 2332414142329. The next prime is 2332414142353. The reversal of 2332414142331 is 1332414142332.

It is not a de Polignac number, because 2332414142331 - 21 = 2332414142329 is a prime.

It is a super-2 number, since 2×23324141423312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2332414142292 and 2332414142301.

It is not an unprimeable number, because it can be changed into a prime (2332414147331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56332785 + ... + 56374173.

It is an arithmetic number, because the mean of its divisors is an integer number (41732419470).

Almost surely, 22332414142331 is an apocalyptic number.

2332414142331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2332414142331 is a deficient number, since it is larger than the sum of its proper divisors (1673898126789).

2332414142331 is a wasteful number, since it uses less digits than its factorization.

2332414142331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42253 (or 42246 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 2332414142331 its reverse (1332414142332), we get a palindrome (3664828284663).

Subtracting from 2332414142331 its reverse (1332414142332), we obtain a palindrome (999999999999).

The spelling of 2332414142331 in words is "two trillion, three hundred thirty-two billion, four hundred fourteen million, one hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 259 273 481 637 777 797 1443 1813 1911 2391 3367 5439 5579 10101 10361 16737 23569 29489 31083 39053 41389 70707 72527 88467 117159 124167 206423 217581 289723 383357 507689 538057 619269 869169 1150071 1444961 1523067 1531393 1614171 2028061 2683499 3766399 4334883 4594179 6084183 8050497 10719751 11299197 18784493 19908109 26364793 32159253 32987033 56353479 59724327 75038257 79094379 98961099 139356763 225114771 230909231 418070289 428831429 692727693 975497341 1220520221 1286494287 1616364617 2926492023 3001820003 3661560663 4849093851 8543641547 9005460009 15866762873 21012740021 25630924641 47600288619 59805490829 63038220063 111067340111 179416472487 333202020333 777471380777 2332414142331