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131352130332405 = 33519101507023837
BaseRepresentation
bin11101110111011011001101…
…000100011010011011110101
3122020002010210210210000022000
4131313123031010122123311
5114204033130331114110
61143210200255325513
736444610144664433
oct3567331504323365
9566063723700260
10131352130332405
1138942142258764
1212894b0a820899
13583a5b689a558
142461696d7bd53
15102bb84dbd1c0
hex7776cd11a6f5

131352130332405 has 64 divisors (see below), whose sum is σ = 248238871084800. Its totient is φ = 65710289145600.

The previous prime is 131352130332389. The next prime is 131352130332457. The reversal of 131352130332405 is 504233031253131.

131352130332405 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 21 + 303 + 324 + 0 + 5 = 666.

It is not a de Polignac number, because 131352130332405 - 24 = 131352130332389 is a prime.

It is a super-2 number, since 2×1313521303324052 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131352130332405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253252854 + ... + 253770983.

It is an arithmetic number, because the mean of its divisors is an integer number (3878732360700).

Almost surely, 2131352130332405 is an apocalyptic number.

131352130332405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131352130332405 is a deficient number, since it is larger than the sum of its proper divisors (116886740752395).

131352130332405 is a wasteful number, since it uses less digits than its factorization.

131352130332405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507023971 (or 507023965 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 131352130332405 its reverse (504233031253131), we get a palindrome (635585161585536).

The spelling of 131352130332405 in words is "one hundred thirty-one trillion, three hundred fifty-two billion, one hundred thirty million, three hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 95 101 135 171 285 303 505 513 855 909 1515 1919 2565 2727 4545 5757 9595 13635 17271 28785 51813 86355 259065 507023837 1521071511 2535119185 4563214533 7605357555 9633452903 13689643599 22816072665 28900358709 48167264515 51209407537 68448217995 86701076127 144501793545 153628222611 256047037685 260103228381 433505380635 460884667833 768141113055 972978743203 1300516141905 1382654003499 2304423339165 2918936229609 4864893716015 6913270017495 8756808688827 14594681148045 26270426066481 43784043444135 131352130332405