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131303122020612 = 223317127563117021
BaseRepresentation
bin11101110110101101100011…
…111100100010100100000100
3122012220110022022222211011000
4131312231203330202210010
5114202232243214124422
61143131453241213300
736441223524134103
oct3566554374424404
9565813268884130
10131303122020612
1138923383351743
1212887511a91230
135835aa64176a9
14245d16823403a
15102a767616cac
hex776b63f22904

131303122020612 has 96 divisors (see below), whose sum is σ = 363278053232640. Its totient is φ = 40868780843520.

The previous prime is 131303122020563. The next prime is 131303122020613. The reversal of 131303122020612 is 216020221303131.

131303122020612 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 3 + 1 + 2 + 20 + 20 + 612 = 666.

131303122020612 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (131303122020613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281325339 + ... + 281791682.

It is an arithmetic number, because the mean of its divisors is an integer number (3784146387840).

Almost surely, 2131303122020612 is an apocalyptic number.

131303122020612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131303122020612 is an abundant number, since it is smaller than the sum of its proper divisors (231974931212028).

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

131303122020612 is a wasteful number, since it uses less digits than its factorization.

131303122020612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563117178 (or 563117170 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131303122020612 its reverse (216020221303131), we get a palindrome (347323343323743).

The spelling of 131303122020612 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, twenty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 127 153 204 254 306 381 459 508 612 762 918 1143 1524 1836 2159 2286 3429 4318 4572 6477 6858 8636 12954 13716 19431 25908 38862 58293 77724 116586 233172 563117021 1126234042 1689351063 2252468084 3378702126 5068053189 6757404252 9572989357 10136106378 15204159567 19145978714 20272212756 28718968071 30408319134 38291957428 57437936142 60816638268 71515861667 86156904213 114875872284 143031723334 172313808426 214547585001 258470712639 286063446668 344627616852 429095170002 516941425278 643642755003 858190340004 1033882850556 1215769648339 1287285510006 1930928265009 2431539296678 2574571020012 3647308945017 3861856530018 4863078593356 7294617890034 7723713060036 10941926835051 14589235780068 21883853670102 32825780505153 43767707340204 65651561010306 131303122020612