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20455511541231 = 31329179101040319
BaseRepresentation
bin1001010011010101010110…
…11111111100010111101111
32200102112020202210100111010
410221222223133330113233
510140120341423304411
6111301044323200303
74210601434155654
oct451525337742757
980375222710433
1020455511541231
116577151a99a38
1223644b9516093
13b54c3c4b69a0
1450a0a2b2dc2b
15257164e237a6
hex129aab7fc5ef

20455511541231 has 32 divisors (see below), whose sum is σ = 30554592768000. Its totient is φ = 12086038677888.

The previous prime is 20455511541181. The next prime is 20455511541239. The reversal of 20455511541231 is 13214511555402.

It is a de Polignac number, because none of the positive numbers 2k-20455511541231 is a prime.

It is a super-2 number, since 2×204555115412312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20455511541231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20455511541239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50317711 + ... + 50722608.

It is an arithmetic number, because the mean of its divisors is an integer number (954831024000).

Almost surely, 220455511541231 is an apocalyptic number.

20455511541231 is a deficient number, since it is larger than the sum of its proper divisors (10099081226769).

20455511541231 is a wasteful number, since it uses less digits than its factorization.

20455511541231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101040543.

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 20455511541231 in words is "twenty trillion, four hundred fifty-five billion, five hundred eleven million, five hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 13 29 39 87 179 377 537 1131 2327 5191 6981 15573 67483 202449 101040319 303120957 1313524147 2930169251 3940572441 8790507753 18086217101 38092200263 54258651303 114276600789 235120822313 524500295929 705362466939 1573500887787 6818503847077 20455511541231