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1241247132081 = 331121621234383
BaseRepresentation
bin10010000100000000000…
…110000010100110110001
311101122212122110112002000
4102010000012002212301
5130314033231211311
62350115425444213
7155451155353305
oct22040006024661
94348778415060
101241247132081
11439456712a00
1218068b1a0669
1390083b54638
14441105b3d05
152244ae1d056
hex121001829b1

1241247132081 has 48 divisors (see below), whose sum is σ = 2022508911360. Its totient is φ = 751803703200.

The previous prime is 1241247132071. The next prime is 1241247132089. The reversal of 1241247132081 is 1802317421421.

1241247132081 is a `hidden beast` number, since 1 + 241 + 24 + 71 + 320 + 8 + 1 = 666.

It is not a de Polignac number, because 1241247132081 - 26 = 1241247132017 is a prime.

It is a super-2 number, since 2×12412471320812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1241247132089) 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, 5178616 + ... + 5412998.

It is an arithmetic number, because the mean of its divisors is an integer number (42135602320).

Almost surely, 21241247132081 is an apocalyptic number.

1241247132081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1241247132081 is a deficient number, since it is larger than the sum of its proper divisors (781261779279).

1241247132081 is a wasteful number, since it uses less digits than its factorization.

1241247132081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236035 (or 236018 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1241247132081 in words is "one trillion, two hundred forty-one billion, two hundred forty-seven million, one hundred thirty-two thousand, eighty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 1621 3267 4863 14589 17831 43767 53493 160479 196141 234383 481437 588423 703149 1765269 2109447 2578213 5295807 6328341 7734639 23203917 28360343 69611751 85081029 255243087 379934843 765729261 1139804529 3419413587 4179283273 10258240761 12537849819 37613549457 45972116003 112840648371 137916348009 413749044027 1241247132081