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10032241032441 = 344371385310529
BaseRepresentation
bin1001000111111101000000…
…1010011011110011111001
31022112001222010102101210000
42101333100022123303321
52303332012201014231
633200425314143213
72053543166530365
oct221772012336371
938461863371700
1010032241032441
113218716582981
121160395281b09
1357a0618ba704
142697c50562a5
15125e656916e6
hex91fd029bcf9

10032241032441 has 80 divisors (see below), whose sum is σ = 15556454559360. Its totient is φ = 6438330178560.

The previous prime is 10032241032409. The next prime is 10032241032487. The reversal of 10032241032441 is 14423014223001.

10032241032441 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 2 + 410 + 3 + 244 + 1 = 666.

It is not a de Polignac number, because 10032241032441 - 25 = 10032241032409 is a prime.

It is a super-2 number, since 2×100322410324412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10032241032641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 952814665 + ... + 952825193.

It is an arithmetic number, because the mean of its divisors is an integer number (194455681992).

Almost surely, 210032241032441 is an apocalyptic number.

It is an amenable number.

10032241032441 is a deficient number, since it is larger than the sum of its proper divisors (5524213526919).

10032241032441 is a wasteful number, since it uses less digits than its factorization.

10032241032441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14508 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10032241032441 its reverse (14423014223001), we get a palindrome (24455255255442).

The spelling of 10032241032441 in words is "ten trillion, thirty-two billion, two hundred forty-one million, thirty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 43 71 81 129 213 387 639 1161 1917 3053 3483 3853 5751 9159 10529 11559 27477 31587 34677 82431 94761 104031 165679 247293 273563 284283 312093 452747 497037 747559 820689 852849 1358241 1491111 2242677 2462067 4074723 4473333 6728031 7386201 11763209 12224169 13419999 20184093 22158603 32145037 35289627 36672507 40568237 60552279 96435111 105868881 121704711 289305333 317606643 365114133 867915999 952819929 1095342399 1744434191 2603747997 2880344827 3286027197 5233302573 8641034481 15699907719 25923103443 47099723157 77769310329 123854827561 141299169471 233307930987 371564482683 1114693448049 3344080344147 10032241032441