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131020224442341 = 313194117324928157
BaseRepresentation
bin11101110010100110000101…
…111011111010111111100101
3122011220102002201021211111220
4131302212011323322333211
5114133113404424123331
61142353505444250553
736411620205322323
oct3562460573727745
9564812081254456
10131020224442341
1138824402009a83
12128407200a0a59
135815200890070
14244d5ac632d13
15102320b612296
hex772985efafe5

131020224442341 has 64 divisors (see below), whose sum is σ = 204035976103680. Its totient is φ = 74090468136960.

The previous prime is 131020224442333. The next prime is 131020224442351. The reversal of 131020224442341 is 143244422020131.

It is not a de Polignac number, because 131020224442341 - 23 = 131020224442333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020224442321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7208166 + ... + 17719991.

It is an arithmetic number, because the mean of its divisors is an integer number (3188062126620).

Almost surely, 2131020224442341 is an apocalyptic number.

It is an amenable number.

131020224442341 is a deficient number, since it is larger than the sum of its proper divisors (73015751661339).

131020224442341 is a wasteful number, since it uses less digits than its factorization.

131020224442341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24928406.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 131020224442341 its reverse (143244422020131), we get a palindrome (274264646462472).

The spelling of 131020224442341 in words is "one hundred thirty-one trillion, twenty billion, two hundred twenty-four million, four hundred forty-two thousand, three hundred forty-one".

Divisors: 1 3 13 19 39 41 57 123 173 247 519 533 741 779 1599 2249 2337 3287 6747 7093 9861 10127 21279 30381 42731 92209 128193 134767 276627 404301 1751971 5255913 24928157 74784471 324066041 473634983 972198123 1022054437 1420904949 3066163311 4312571161 6157254779 12937713483 13286707681 18471764337 19419034303 39860123043 56063425093 58257102909 81938852059 168190275279 176815417601 245816556177 252447445939 530446252803 757342337817 1065205076767 2298600428813 3195615230301 3359492934419 6895801286439 10078478803257 43673408147447 131020224442341