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1023012142101 = 322341120538723
BaseRepresentation
bin11101110001100000100…
…01100111110000010101
310121210120110211100220100
432320300101213300111
5113230112102021401
62101544300324313
7133624123506225
oct16706021476025
93553513740810
101023012142101
11364947758954
12146324843699
1375614a19581
143772a7b6085
151b926b73b86
hexee30467c15

1023012142101 has 24 divisors (see below), whose sum is σ = 1579539439296. Its totient is φ = 636444452160.

The previous prime is 1023012142073. The next prime is 1023012142109. The reversal of 1023012142101 is 1012412103201.

1023012142101 is a `hidden beast` number, since 1 + 0 + 230 + 12 + 1 + 421 + 0 + 1 = 666.

It is not a de Polignac number, because 1023012142101 - 218 = 1023011879957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023012142109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60260875 + ... + 60277848.

It is an arithmetic number, because the mean of its divisors is an integer number (65814143304).

Almost surely, 21023012142101 is an apocalyptic number.

It is an amenable number.

1023012142101 is a deficient number, since it is larger than the sum of its proper divisors (556527297195).

1023012142101 is a wasteful number, since it uses less digits than its factorization.

1023012142101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120538793 (or 120538790 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1023012142101 its reverse (1012412103201), we get a palindrome (2035424245302).

The spelling of 1023012142101 in words is "one trillion, twenty-three billion, twelve million, one hundred forty-two thousand, one hundred one".

Divisors: 1 3 9 23 41 69 123 207 369 943 2829 8487 120538723 361616169 1084848507 2772390629 4942087643 8317171887 14826262929 24951515661 44478788787 113668015789 341004047367 1023012142101