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23042142123 = 37111367711613
BaseRepresentation
bin10101011101011010…
…110010111110101011
32012110211212002201020
4111131122302332223
5334142242021443
614330241023523
71444001655630
oct253532627653
965424762636
1023042142123
119854763470
124570924ba3
132232a25a30
14118833c187
158ecd86583
hex55d6b2fab

23042142123 has 128 divisors (see below), whose sum is σ = 42481926144. Its totient is φ = 10724313600.

The previous prime is 23042142119. The next prime is 23042142127. The reversal of 23042142123 is 32124124032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23042142119) and next prime (23042142127).

It is not a de Polignac number, because 23042142123 - 22 = 23042142119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23042142093 and 23042142102.

It is not an unprimeable number, because it can be changed into a prime (23042142127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14284465 + ... + 14286077.

It is an arithmetic number, because the mean of its divisors is an integer number (331890048).

Almost surely, 223042142123 is an apocalyptic number.

23042142123 is a deficient number, since it is larger than the sum of its proper divisors (19439784021).

23042142123 is a wasteful number, since it uses less digits than its factorization.

23042142123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23042142123 its reverse (32124124032), we get a palindrome (55166266155).

The spelling of 23042142123 in words is "twenty-three billion, forty-two million, one hundred forty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 39 67 71 77 91 143 201 213 231 273 429 469 497 737 781 871 923 1001 1407 1491 1613 2211 2343 2613 2769 3003 4757 4839 5159 5467 6097 6461 9581 10153 11291 14271 15477 16401 17743 18291 19383 20969 28743 30459 33299 33873 52327 53229 61841 62907 67067 71071 99897 108071 114523 124201 146783 156981 185523 201201 213213 230659 324213 343569 366289 372603 432887 440349 680251 691977 756497 801661 1098867 1188781 1259753 1298661 1404923 1488799 1614613 2040753 2269491 2404983 3566343 3779259 4214769 4466397 4761757 4843839 7673041 8321467 8818271 9834461 10421593 14285271 15454153 16376789 23019123 24964401 26454813 29503383 31264779 46362459 49130367 53711287 84403451 99749533 108179071 114637523 161133861 253210353 299248599 324537213 343912569 590824157 698246731 1097244863 1772472471 2094740193 3291734589 7680714041 23042142123