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23144320030131 = 3419294112648061
BaseRepresentation
bin1010100001100101101001…
…11110010101010110110011
310000221120112110022221010000
411100302310332111112303
511013144031411431011
6121120204232441043
74606056553214226
oct520626476252663
9100846473287100
1023144320030131
1174134a6316493
122719635b49183
13cbb6666b9171
145a02964015bd
152a20846da356
hex150cb4f955b3

23144320030131 has 80 divisors (see below), whose sum is σ = 38566470650400. Its totient is φ = 13769184038400.

The previous prime is 23144320030081. The next prime is 23144320030171. The reversal of 23144320030131 is 13103002344132.

It is a happy number.

23144320030131 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 4 + 320 + 0 + 301 + 31 = 666.

It is not a de Polignac number, because 23144320030131 - 26 = 23144320030067 is a prime.

It is a super-3 number, since 3×231443200301313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23144320030095 and 23144320030104.

It is not an unprimeable number, because it can be changed into a prime (23144320030171) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4494160 + ... + 8153901.

It is an arithmetic number, because the mean of its divisors is an integer number (482080883130).

Almost surely, 223144320030131 is an apocalyptic number.

23144320030131 is a deficient number, since it is larger than the sum of its proper divisors (15422150620269).

23144320030131 is a wasteful number, since it uses less digits than its factorization.

23144320030131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12648162 (or 12648153 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23144320030131 its reverse (13103002344132), we get a palindrome (36247322374263).

The spelling of 23144320030131 in words is "twenty-three trillion, one hundred forty-four billion, three hundred twenty million, thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 29 41 57 81 87 123 171 261 369 513 551 779 783 1107 1189 1539 1653 2337 2349 3321 3567 4959 7011 10701 14877 21033 22591 32103 44631 63099 67773 96309 203319 609957 1829871 12648061 37944183 113832549 240313159 341497647 366793769 518570501 720939477 1024492941 1100381307 1555711503 2162818431 3301143921 4667134509 6488455293 6969081611 9852839519 9903431763 14001403527 15038544529 19465365879 20907244833 29558518557 29710295289 42004210581 45115633587 62721734499 88675555671 135346900761 188165203497 266026667013 285732346051 406040702283 564495610491 798080001039 857197038153 1218122106849 2571591114459 7714773343377 23144320030131