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23123421321 = 37111337208111
BaseRepresentation
bin10101100010010000…
…110110100010001001
32012200111210111210220
4111202100312202021
5334324043440241
614342303100253
71446006560340
oct254220664211
965614714726
1023123421321
119896628760
124593ba1689
132246813430
141195058b57
1590508e166
hex562436889

23123421321 has 64 divisors (see below), whose sum is σ = 42514784256. Its totient is φ = 10788422400.

The previous prime is 23123421319. The next prime is 23123421337. The reversal of 23123421321 is 12312432132.

It is not a de Polignac number, because 23123421321 - 21 = 23123421319 is a prime.

It is a super-2 number, since 2×231234213212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23123421291 and 23123421300.

It is not an unprimeable number, because it can be changed into a prime (23123421371) 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, 7056 + ... + 215166.

It is an arithmetic number, because the mean of its divisors is an integer number (664293504).

Almost surely, 223123421321 is an apocalyptic number.

23123421321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23123421321 is a deficient number, since it is larger than the sum of its proper divisors (19391362935).

23123421321 is a wasteful number, since it uses less digits than its factorization.

23123421321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208182.

The product of its digits is 1728, while the sum is 24.

Adding to 23123421321 its reverse (12312432132), we get a palindrome (35435853453).

It can be divided in two parts, 23123 and 421321, that added together give a palindrome (444444).

The spelling of 23123421321 in words is "twenty-three billion, one hundred twenty-three million, four hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 208111 624333 1456777 2289221 2705443 4370331 6867663 7700107 8116329 16024547 18938101 23100321 29759873 48073641 53900749 56814303 84701177 89279619 100101391 161702247 208319111 254103531 300304173 592908239 624957333 700709737 1101115301 1778724717 2102129211 3303345903 7707807107 23123421321