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1023133110021 = 321164793159503
BaseRepresentation
bin11101110001101110111…
…11000100111100000101
310121210212220110011200200
432320313133010330011
5113230334034010041
62102004301201113
7133630122641331
oct16706737047405
93553786404620
101023133110021
113649a9a70940
12146359260199
1375633ac1c19
143773c8a47c1
151b9325bb1b6
hexee377c4f05

1023133110021 has 24 divisors (see below), whose sum is σ = 1612244739456. Its totient is φ = 620067215040.

The previous prime is 1023133109993. The next prime is 1023133110053. The reversal of 1023133110021 is 1200113313201.

1023133110021 is a `hidden beast` number, since 1 + 0 + 231 + 331 + 100 + 2 + 1 = 666.

It is not a de Polignac number, because 1023133110021 - 229 = 1022596239109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023133109976 and 1023133110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023133110091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6334756 + ... + 6494258.

It is an arithmetic number, because the mean of its divisors is an integer number (67176864144).

Almost surely, 21023133110021 is an apocalyptic number.

1023133110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023133110021 is a deficient number, since it is larger than the sum of its proper divisors (589111629435).

1023133110021 is a wasteful number, since it uses less digits than its factorization.

1023133110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224313 (or 224310 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1023133110021 its reverse (1200113313201), we get a palindrome (2223246423222).

The spelling of 1023133110021 in words is "one trillion, twenty-three billion, one hundred thirty-three million, one hundred ten thousand, twenty-one".

Divisors: 1 3 9 11 33 99 64793 159503 194379 478509 583137 712723 1435527 1754533 2138169 5263599 6414507 15790797 10334677879 31004033637 93012100911 113681456669 341044370007 1023133110021