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1013111232129 = 33659170933317
BaseRepresentation
bin11101011111000100010…
…00101001011010000001
310120212000110112000202000
432233202020221122001
5113044322433412004
62053230013414213
7133123561246413
oct16574210513201
93525013460660
101013111232129
11360726973727
12144420a9a369
13746c7714669
143706b8889b3
151b54783ac39
hexebe2229681

1013111232129 has 32 divisors (see below), whose sum is σ = 1504107792000. Its totient is φ = 673967754432.

The previous prime is 1013111232101. The next prime is 1013111232139. The reversal of 1013111232129 is 9212321113101.

1013111232129 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 1 + 2 + 321 + 29 = 666.

It is not a de Polignac number, because 1013111232129 - 236 = 944391755393 is a prime.

It is a super-3 number, since 3×10131112321293 (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1013111232139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30391579 + ... + 30424895.

It is an arithmetic number, because the mean of its divisors is an integer number (47003368500).

Almost surely, 21013111232129 is an apocalyptic number.

It is an amenable number.

1013111232129 is a deficient number, since it is larger than the sum of its proper divisors (490996559871).

1013111232129 is a wasteful number, since it uses less digits than its factorization.

1013111232129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35694 (or 35688 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 1013111232129 in words is "one trillion, thirteen billion, one hundred eleven million, two hundred thirty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 659 1709 1977 5127 5931 15381 17793 33317 46143 99951 299853 899559 1126231 3378693 10136079 21955903 30408237 56938753 65867709 170816259 197603127 512448777 592809381 1537346331 37522638227 112567914681 337703744043 1013111232129