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23101200240431 = 292199277547911
BaseRepresentation
bin1010100000010101010101…
…10101011000111100101111
310000210110020100211122200212
411100022222311120330233
511011442224230143211
6121044313410013035
74603002164103515
oct520125265307457
9100713210748625
1023101200240431
1173a718931a255
12271120127717b
13cb75841a00c1
1459c1657684b5
152a0dadd9b38b
hex1502aad58f2f

23101200240431 has 48 divisors (see below), whose sum is σ = 24202952217600. Its totient is φ = 22047753087360.

The previous prime is 23101200240421. The next prime is 23101200240487. The reversal of 23101200240431 is 13404200210132.

It is not a de Polignac number, because 23101200240431 - 26 = 23101200240367 is a prime.

It is a super-2 number, since 2×231012002404312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23101200240397 and 23101200240406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23101200240421) 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 47 ways as a sum of consecutive naturals, for example, 25358067866 + ... + 25358068776.

It is an arithmetic number, because the mean of its divisors is an integer number (504228171200).

Almost surely, 223101200240431 is an apocalyptic number.

23101200240431 is a deficient number, since it is larger than the sum of its proper divisors (1101751977169).

23101200240431 is a wasteful number, since it uses less digits than its factorization.

23101200240431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 23101200240431 its reverse (13404200210132), we get a palindrome (36505400450563).

The spelling of 23101200240431 in words is "twenty-three trillion, one hundred one billion, two hundred million, two hundred forty thousand, four hundred thirty-one".

Divisors: 1 29 199 277 547 841 911 5771 8033 15863 26419 55123 108853 151519 167359 181289 232957 252347 460027 498317 766151 1598567 3156737 4394051 5257381 7318063 14451193 30152281 46358443 50217053 91545373 99165083 127427479 138033809 152464049 212223827 419084597 874416149 1456294537 2875787407 4002980461 25358068321 27468727991 42232541573 83397834803 116086433369 796593111739 23101200240431