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20232144553131 = 337619911770829
BaseRepresentation
bin1001001100110101010011…
…10010100000010010101011
32122122011200221101200101000
410212122221302200102223
510122440413001200011
6111010304025330043
74155503255122140
oct446325162402253
978564627350330
1020232144553131
1164a044a170825
122329160336923
13b39b63084c44
144dd3535103c7
1525144034c356
hex1266a9ca04ab

20232144553131 has 64 divisors (see below), whose sum is σ = 34852201062400. Its totient is φ = 11360215785600.

The previous prime is 20232144553057. The next prime is 20232144553139. The reversal of 20232144553131 is 13135544123202.

20232144553131 is a `hidden beast` number, since 2 + 0 + 2 + 32 + 1 + 44 + 553 + 1 + 31 = 666.

It is not a de Polignac number, because 20232144553131 - 211 = 20232144551083 is a prime.

It is a super-2 number, since 2×202321445531312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20232144553139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10539825 + ... + 12310653.

It is an arithmetic number, because the mean of its divisors is an integer number (544565641600).

Almost surely, 220232144553131 is an apocalyptic number.

20232144553131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20232144553131 is a deficient number, since it is larger than the sum of its proper divisors (14620056509269).

20232144553131 is a wasteful number, since it uses less digits than its factorization.

20232144553131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771897 (or 1771891 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 20232144553131 its reverse (13135544123202), we get a palindrome (33367688676333).

The spelling of 20232144553131 in words is "twenty trillion, two hundred thirty-two billion, one hundred forty-four million, five hundred fifty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 991 1281 1647 2973 3843 6937 8919 11529 20811 26757 60451 62433 181353 187299 423157 544059 1269471 1632177 1770829 3808413 5312487 11425239 12395803 15937461 37187409 47812383 108020569 111562227 324061707 334686681 756143983 972185121 1754891539 2268431949 2916555363 5264674617 6805295847 12284240773 15794023851 20415887541 36852722319 47382071553 107048383879 110558166957 321145151637 331674500871 749338687153 963435454911 2248016061459 2890306364733 6744048184377 20232144553131