Search a number
-
+
132124326622101 = 321119691271016123
BaseRepresentation
bin11110000010101010010111…
…100011011111001110010101
3122022210221222111022220222100
4132002222113203133032111
5114304211110103401401
61145001024441552313
736554444661104532
oct3602522743371625
9568727874286870
10132124326622101
113910a6809a4380
121299a6b57a5699
1358953694b4728
14248abcc84bd89
151041ccc2bdb86
hex782a978df395

132124326622101 has 48 divisors (see below), whose sum is σ = 219156974000640. Its totient is φ = 75859685321760.

The previous prime is 132124326622097. The next prime is 132124326622121. The reversal of 132124326622101 is 101226623421231.

It is a happy number.

132124326622101 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 4 + 3 + 26 + 622 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 132124326622101 - 22 = 132124326622097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132124326622121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129519826 + ... + 130535948.

It is an arithmetic number, because the mean of its divisors is an integer number (4565770291680).

Almost surely, 2132124326622101 is an apocalyptic number.

132124326622101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132124326622101 is a deficient number, since it is larger than the sum of its proper divisors (87032647378539).

132124326622101 is a wasteful number, since it uses less digits than its factorization.

132124326622101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085286 (or 1085283 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 132124326622101 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, three hundred twenty-six million, six hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 69127 207381 622143 760397 1016123 1313413 2281191 3048369 3940239 6843573 9145107 11177353 11820717 14447543 19306337 33532059 43342629 57919011 100596177 130027887 173757033 212369707 637109121 1911327363 70241534621 210724603863 632173811589 772656880831 1334589157799 2317970642493 4003767473397 6953911927479 12011302420191 14680480735789 44041442207367 132124326622101