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123423321021 = 37111323785447
BaseRepresentation
bin111001011110010011…
…0100110101110111101
3102210120120202100002220
41302330212212232331
54010232332233041
6132411102035553
711626354630110
oct1627446465675
9383516670086
10123423321021
1148386279950
121bb06278bb9
13b83c4b7100
145d8bc64577
1533257b7d66
hex1cbc9a6bbd

123423321021 has 96 divisors (see below), whose sum is σ = 228174870528. Its totient is φ = 57583768320.

The previous prime is 123423321019. The next prime is 123423321031. The reversal of 123423321021 is 120123324321.

It is not a de Polignac number, because 123423321021 - 21 = 123423321019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123423320982 and 123423321000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123423321031) 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 95 ways as a sum of consecutive naturals, for example, 1401720 + ... + 1487166.

It is an arithmetic number, because the mean of its divisors is an integer number (2376821568).

Almost surely, 2123423321021 is an apocalyptic number.

123423321021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123423321021 is a deficient number, since it is larger than the sum of its proper divisors (104751549507).

123423321021 is a wasteful number, since it uses less digits than its factorization.

123423321021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85531 (or 85518 counting only the distinct ones).

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

Adding to 123423321021 its reverse (120123324321), we get a palindrome (243546645342).

It can be divided in two parts, 123423 and 321021, that added together give a palindrome (444444).

The spelling of 123423321021 in words is "one hundred twenty-three billion, four hundred twenty-three million, three hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 169 231 259 273 407 429 481 507 777 1001 1183 1221 1443 1859 2849 3003 3367 3549 5291 5577 6253 8547 10101 13013 15873 18759 37037 39039 43771 68783 85447 111111 131313 206349 256341 481481 598129 939917 1110811 1444443 1794387 2819751 3161539 3332433 6579419 7775677 9484617 12218921 14440543 19738257 22130773 23327031 34776929 36656763 41100007 43321629 66392319 85532447 101083801 104330787 123300021 158845973 243438503 256597341 287700049 303251403 452100077 476537919 534300091 730315509 863100147 1111921811 1356300231 1602900273 3164700539 3335765433 3740100637 5877301001 9494101617 11220301911 17631903003 41141107007 123423321021