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131434012102220 = 22579769148972649
BaseRepresentation
bin11101111000100111011101…
…100110100100111001001100
3122020100222011021202220012022
4131320213131212210321030
5114211403324044232340
61143311541314025312
736453536226360422
oct3570473546447114
9566328137686168
10131434012102220
1138973940399303
12128a8960878238
135845235822219
1424656239d7112
15102dd786983b5
hex7789dd9a4e4c

131434012102220 has 96 divisors (see below), whose sum is σ = 280060519200000. Its totient is φ = 51805086547968.

The previous prime is 131434012102171. The next prime is 131434012102223. The reversal of 131434012102220 is 22201210434131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131434012102220.

It is not an unprimeable number, because it can be changed into a prime (131434012102223) 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, 1809128456 + ... + 1809201104.

It is an arithmetic number, because the mean of its divisors is an integer number (2917297075000).

Almost surely, 2131434012102220 is an apocalyptic number.

131434012102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131434012102220 is an abundant number, since it is smaller than the sum of its proper divisors (148626507097780).

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

131434012102220 is a wasteful number, since it uses less digits than its factorization.

131434012102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74995 (or 74993 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131434012102220 its reverse (22201210434131), we get a palindrome (153635222536351).

The spelling of 131434012102220 in words is "one hundred thirty-one trillion, four hundred thirty-four billion, twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 769 790 1489 1538 1580 2978 3076 3845 5956 7445 7690 14890 15380 29780 60751 72649 117631 121502 145298 235262 243004 290596 303755 363245 470524 588155 607510 726490 1145041 1176310 1215020 1452980 2290082 2352620 4580164 5725205 5739271 11450410 11478542 22900820 22957084 28696355 55867081 57392710 90458239 108174361 111734162 114785420 180916478 216348722 223468324 279335405 361832956 432697444 452291195 540871805 558670810 904582390 1081743610 1117341620 1809164780 2163487220 4413499399 8545774519 8826998798 17091549038 17653997596 22067496995 34183098076 42728872595 44134993990 83186083609 85457745190 88269987980 166372167218 170915490380 332744334436 415930418045 831860836090 1663721672180 6571700605111 13143401210222 26286802420444 32858503025555 65717006051110 131434012102220