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23144142021 = 37211213101991
BaseRepresentation
bin10101100011011111…
…111001010011000101
32012201221210020021020
4111203133321103011
5334344400021041
614344323141353
71446350650500
oct254337712305
965657706236
1023144142021
1198a72a0500
12459ab14859
13224abb98c0
141197ad0137
15906cd3866
hex5637f94c5

23144142021 has 144 divisors (see below), whose sum is σ = 42956250624. Its totient is φ = 10977120000.

The previous prime is 23144142011. The next prime is 23144142031. The reversal of 23144142021 is 12024144132.

It is an interprime number because it is at equal distance from previous prime (23144142011) and next prime (23144142031).

It is not a de Polignac number, because 23144142021 - 226 = 23077033157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23144141982 and 23144142000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144142011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23353836 + ... + 23354826.

It is an arithmetic number, because the mean of its divisors is an integer number (298307296).

Almost surely, 223144142021 is an apocalyptic number.

23144142021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23144142021 is a deficient number, since it is larger than the sum of its proper divisors (19812108603).

23144142021 is a wasteful number, since it uses less digits than its factorization.

23144142021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 23144142021 its reverse (12024144132), we get a palindrome (35168286153).

The spelling of 23144142021 in words is "twenty-three billion, one hundred forty-four million, one hundred forty-two thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 101 121 143 147 231 273 303 363 429 539 637 707 847 991 1001 1111 1313 1573 1617 1911 2121 2541 2973 3003 3333 3939 4719 4949 5929 6937 7007 7777 9191 10901 11011 12221 12883 14443 14847 17787 20811 21021 23331 27573 32703 33033 36663 38649 43329 48559 54439 64337 76307 77077 85547 90181 100091 101101 119911 141713 145677 158873 163317 193011 228921 231231 256641 270543 300273 303303 359733 425139 476619 534149 598829 631267 700637 707707 839377 991991 1101001 1112111 1301183 1558843 1602447 1796487 1893801 2101911 2123121 2518131 2975973 3303003 3336333 3903549 4676529 4904459 5875639 6943937 7707007 7784777 9108281 10911901 12111011 14313013 14713377 17626917 20831811 23121021 23354331 27324843 32735703 36333033 42939039 53949049 63757967 76383307 84777077 100191091 157443143 161847147 191273901 229149921 254331231 300573273 472329429 593439539 701337637 1102102001 1780318617 2104012911 3306306003 7714714007 23144142021