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123442421130 = 232571711525903
BaseRepresentation
bin111001011110110111…
…1011101110110001010
3102210121220200201112100
41302331233131312022
54010302224434010
6132413023254230
711630006160420
oct1627557356612
9383556621470
10123442421130
1148396035066
121bb1074a376
13b843443a52
145d905d7110
1533272dc2c0
hex1cbdbddd8a

123442421130 has 96 divisors (see below), whose sum is σ = 388376861184. Its totient is φ = 26555678208.

The previous prime is 123442421093. The next prime is 123442421143. The reversal of 123442421130 is 31124244321.

123442421130 is a `hidden beast` number, since 1 + 2 + 3 + 442 + 4 + 211 + 3 + 0 = 666.

123442421130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 123442421094 and 123442421103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5752242 + ... + 5773661.

It is an arithmetic number, because the mean of its divisors is an integer number (4045592304).

Almost surely, 2123442421130 is an apocalyptic number.

123442421130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123442421130 is an abundant number, since it is smaller than the sum of its proper divisors (264934440054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123442421130 is a wasteful number, since it uses less digits than its factorization.

123442421130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11525940 (or 11525937 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 123442421130 its reverse (31124244321), we get a palindrome (154566665451).

The spelling of 123442421130 in words is "one hundred twenty-three billion, four hundred forty-two million, four hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 5355 10710 11525903 23051806 34577709 57629515 69155418 80681321 103733127 115259030 161362642 172888545 195940351 207466254 242043963 345777090 391880702 403406605 484087926 518665635 587821053 726131889 806813210 979701755 1037331270 1175642106 1210219815 1371582457 1452263778 1763463159 1959403510 2420439630 2743164914 2939105265 3526926318 3630659445 4114747371 5878210530 6857912285 7261318890 8229494742 8817315795 12344242113 13715824570 17634631590 20573736855 24688484226 41147473710 61721210565 123442421130