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1023032206161 = 327227161913829
BaseRepresentation
bin11101110001100010111…
…10001010001101010001
310121210121212120201121200
432320301132022031101
5113230132221044121
62101550254341413
7133624456163100
oct16706136121521
93553555521550
101023032206161
11364958012319
1214632b4ba869
1375618c22bb4
143772d31a037
151b9287d8a26
hexee3178a351

1023032206161 has 72 divisors (see below), whose sum is σ = 1728227779200. Its totient is φ = 581449700160.

The previous prime is 1023032206093. The next prime is 1023032206171. The reversal of 1023032206161 is 1616022303201.

1023032206161 is a `hidden beast` number, since 1 + 0 + 23 + 0 + 3 + 2 + 20 + 616 + 1 = 666.

1023032206161 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1023032206161 - 213 = 1023032197969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1023032206171) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73970395 + ... + 73984223.

It is an arithmetic number, because the mean of its divisors is an integer number (24003163600).

Almost surely, 21023032206161 is an apocalyptic number.

It is an amenable number.

1023032206161 is a deficient number, since it is larger than the sum of its proper divisors (705195573039).

1023032206161 is a wasteful number, since it uses less digits than its factorization.

1023032206161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14739 (or 14729 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1023032206161 its reverse (1616022303201), we get a palindrome (2639054509362).

The spelling of 1023032206161 in words is "one trillion, twenty-three billion, thirty-two million, two hundred six thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 271 441 619 813 1857 1897 2439 4333 5571 5691 12999 13279 13829 17073 30331 38997 39837 41487 90993 96803 119511 124461 167749 272979 290409 503247 677621 871227 1174243 1509741 2032863 3522729 3747659 6098589 8219701 8560151 10568187 11242977 24659103 25680453 26233613 33728931 59921057 73977309 77041359 78700839 179763171 183635291 236102517 419447399 539289513 550905873 1258342197 1652717619 2319800921 3775026591 6959402763 16238606447 20878208289 48715819341 113670245129 146147458023 341010735387 1023032206161