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10121240041 = 111976776899
BaseRepresentation
bin10010110110100010…
…11101110111101001
3222010100220021012021
421123101131313221
5131212014140131
64352153144441
7505546056313
oct113321356751
928110807167
1010121240041
1143241a34a0
121b656bb121
13c53b59943
146c02c27b3
153e385ae11
hex25b45dde9

10121240041 has 16 divisors (see below), whose sum is σ = 11115403200. Its totient is φ = 9139574080.

The previous prime is 10121240027. The next prime is 10121240053. The reversal of 10121240041 is 14004212101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10121240041 - 221 = 10119142889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121239997 and 10121240024.

It is not an unprimeable number, because it can be changed into a prime (10121240021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1463610 + ... + 1470508.

It is an arithmetic number, because the mean of its divisors is an integer number (694712700).

Almost surely, 210121240041 is an apocalyptic number.

10121240041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121240041 is a deficient number, since it is larger than the sum of its proper divisors (994163159).

10121240041 is a wasteful number, since it uses less digits than its factorization.

10121240041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10121240041 its reverse (14004212101), we get a palindrome (24125452142).

The spelling of 10121240041 in words is "ten billion, one hundred twenty-one million, two hundred forty thousand, forty-one".

Divisors: 1 11 197 677 2167 6899 7447 75889 133369 1359103 1467059 4670623 14950133 51376853 920112731 10121240041