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23145231013233 = 37171031813477583
BaseRepresentation
bin1010100001100111010110…
…10001011101010101110001
310000221122212221111122222220
411100303223101131111301
511013202413114410413
6121120434454151253
74606121254355520
oct520635321352561
9100848787448886
1023145231013233
11741392356a58a
12271984b052529
13cbb780359a14
145a03413ba4b7
152a20d9686223
hex150ceb45d571

23145231013233 has 64 divisors (see below), whose sum is σ = 37914456932352. Its totient is φ = 12258893859840.

The previous prime is 23145231013207. The next prime is 23145231013243. The reversal of 23145231013233 is 33231013254132.

It is not a de Polignac number, because 23145231013233 - 222 = 23145226818929 is a prime.

It is a super-2 number, since 2×231452310132332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23145231013194 and 23145231013203.

It is not an unprimeable number, because it can be changed into a prime (23145231013243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4916760 + ... + 8394342.

It is an arithmetic number, because the mean of its divisors is an integer number (592413389568).

Almost surely, 223145231013233 is an apocalyptic number.

It is an amenable number.

23145231013233 is a deficient number, since it is larger than the sum of its proper divisors (14769225919119).

23145231013233 is a wasteful number, since it uses less digits than its factorization.

23145231013233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477894.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 23145231013233 its reverse (33231013254132), we get a palindrome (56376244267365).

The spelling of 23145231013233 in words is "twenty-three trillion, one hundred forty-five billion, two hundred thirty-one million, thirteen thousand, two hundred thirty-three".

Divisors: 1 3 7 17 21 51 103 119 181 309 357 543 721 1267 1751 2163 3077 3801 5253 9231 12257 18643 21539 36771 55929 64617 130501 316931 391503 950793 2218517 3477583 6655551 10432749 24343081 59118911 73029243 177356733 358191049 413832377 629442523 1074573147 1241497131 1888327569 2507337343 4406097661 6089247833 7522012029 10700522891 13218292983 18267743499 32101568673 42624734831 64832579869 74903660237 127874204493 194497739607 224710980711 453828059083 1102153857773 1361484177249 3306461573319 7715077004411 23145231013233