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131303122020315 = 3357271279567611
BaseRepresentation
bin11101110110101101100011…
…111100100010011111011011
3122012220110022022222210202000
4131312231203330202133123
5114202232243214122230
61143131453241212043
736441223524133200
oct3566554374423733
9565813268883660
10131303122020315
11389233833514a3
1212887511a91023
135835aa641750b
14245d168233ca7
15102a767616b60
hex776b63f227db

131303122020315 has 96 divisors (see below), whose sum is σ = 275362915115520. Its totient is φ = 59178871684800.

The previous prime is 131303122020313. The next prime is 131303122020463. The reversal of 131303122020315 is 513020221303131.

131303122020315 is a `hidden beast` number, since 1 + 3 + 1 + 30 + 312 + 2 + 0 + 2 + 0 + 315 = 666.

It is not a de Polignac number, because 131303122020315 - 21 = 131303122020313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131303122020313) 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, 139314141 + ... + 140253470.

It is an arithmetic number, because the mean of its divisors is an integer number (2868363699120).

Almost surely, 2131303122020315 is an apocalyptic number.

131303122020315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131303122020315 is an abundant number, since it is smaller than the sum of its proper divisors (144059793095205).

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

131303122020315 is a wasteful number, since it uses less digits than its factorization.

131303122020315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279567710 (or 279567697 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 131303122020315 its reverse (513020221303131), we get a palindrome (644323343323446).

The spelling of 131303122020315 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, twenty thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 71 105 135 147 189 213 245 315 355 441 497 639 735 945 1065 1323 1491 1917 2205 2485 3195 3479 4473 6615 7455 9585 10437 13419 17395 22365 31311 52185 67095 93933 156555 469665 279567611 838702833 1397838055 1956973277 2516108499 4193514165 5870919831 7548325497 9784866385 12580542495 13698812939 17612759493 19849300381 29354599155 37741627485 41096438817 52838278479 59547901143 68494064695 88063797465 99246501905 123289316451 138945102667 178643703429 205482194085 264191392395 297739505715 369867949353 416835308001 535931110287 616446582255 694725513335 893218517145 972615718669 1250505924003 1849339746765 2084176540005 2679655551435 2917847156007 3751517772009 4863078593345 6252529620015 8753541468021 14589235780035 18757588860045 26260624404063 43767707340105 131303122020315