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13131431122390 = 2571923574374747
BaseRepresentation
bin1011111100010110011001…
…0010011001010111010110
31201111100112000100022202021
42333011212102121113112
53210121132331404030
643532255101403354
72523500050613260
oct277054622312726
951440460308667
1013131431122390
1142030105952a9
121580b6186955a
1374339a1b7519
143357c95c4b30
1517b8a2e8b97a
hexbf1664995d6

13131431122390 has 128 divisors (see below), whose sum is σ = 29676845629440. Its totient is φ = 4079036320128.

The previous prime is 13131431122379. The next prime is 13131431122391. The reversal of 13131431122390 is 9322113413131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131431122391) 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, 175640997 + ... + 175715743.

It is an arithmetic number, because the mean of its divisors is an integer number (231850356480).

Almost surely, 213131431122390 is an apocalyptic number.

13131431122390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131431122390 is an abundant number, since it is smaller than the sum of its proper divisors (16545414507050).

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

13131431122390 is a wasteful number, since it uses less digits than its factorization.

13131431122390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80546.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 13131431122390 in words is "thirteen trillion, one hundred thirty-one billion, four hundred thirty-one million, one hundred twenty-two thousand, three hundred ninety".

Divisors: 1 2 5 7 10 14 19 23 35 38 46 70 95 115 133 161 190 230 266 322 437 665 805 874 1330 1610 2185 3059 4370 5743 6118 11486 15295 28715 30590 40201 57430 74747 80402 109117 132089 149494 201005 218234 264178 373735 402010 523229 545585 660445 747470 763819 924623 1046458 1091170 1320890 1420193 1527638 1719181 1849246 2509691 2616145 2840386 3438362 3819095 4623115 5019382 5232290 7100965 7638190 8595905 9246230 9941351 12034267 12548455 14201930 17191810 17567837 19882702 24068534 25096910 32664439 35135674 49706755 60171335 65328878 87839185 99413510 120342670 163322195 175678370 228651073 326644390 429272021 457302146 858544042 1143255365 2146360105 2286510730 3004904147 4292720210 6009808294 8156168399 9873256483 15024520735 16312336798 19746512966 30049041470 40780841995 49366282415 57093178793 69112795381 81561683990 98732564830 114186357586 138225590762 187591873177 285465893965 345563976905 375183746354 570931787930 691127953810 937959365885 1313143112239 1875918731770 2626286224478 6565715561195 13131431122390