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20231313127101 = 327013206738489
BaseRepresentation
bin1001001100110011110000…
…01110110111011010111101
32122122002112222220212021100
410212121320032313122331
510122432212130031401
6111010045325123313
74155443541120426
oct446317016673275
978562488825240
1020231313127101
1164a006291607a
122328b699b9539
13b39a5ca4ac8b
144dd2b4d2464d
152513e2368b86
hex1266783b76bd

20231313127101 has 12 divisors (see below), whose sum is σ = 29264695459740. Its totient is φ = 13468301649600.

The previous prime is 20231313127093. The next prime is 20231313127111. The reversal of 20231313127101 is 10172131313202.

20231313127101 is a `hidden beast` number, since 2 + 0 + 231 + 313 + 12 + 7 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19012861419876 + 1218451707225 = 4360374^2 + 1103835^2 .

It is not a de Polignac number, because 20231313127101 - 23 = 20231313127093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231313127111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1603362936 + ... + 1603375553.

It is an arithmetic number, because the mean of its divisors is an integer number (2438724621645).

Almost surely, 220231313127101 is an apocalyptic number.

It is an amenable number.

20231313127101 is a deficient number, since it is larger than the sum of its proper divisors (9033382332639).

20231313127101 is a wasteful number, since it uses less digits than its factorization.

20231313127101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206739196 (or 3206739193 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 20231313127101 in words is "twenty trillion, two hundred thirty-one billion, three hundred thirteen million, one hundred twenty-seven thousand, one hundred one".

Divisors: 1 3 9 701 2103 6309 3206738489 9620215467 28860646401 2247923680789 6743771042367 20231313127101