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13123253430 = 2325738953549
BaseRepresentation
bin11000011100011010…
…01111010010110110
31020212120201100101100
430032031033102312
5203334023102210
610010112510530
7643130546040
oct141615172266
936776640340
1013123253430
1156248095a1
122662b4b446
131311a97721
148c6c90a90
1551c19b5c0
hex30e34f4b6

13123253430 has 96 divisors (see below), whose sum is σ = 39095784000. Its totient is φ = 2991833856.

The previous prime is 13123253399. The next prime is 13123253453. The reversal of 13123253430 is 3435232131.

13123253430 is a `hidden beast` number, since 1 + 3 + 123 + 2 + 534 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13123253394 and 13123253403.

It is a congruent number.

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, 218296 + ... + 271844.

It is an arithmetic number, because the mean of its divisors is an integer number (407247750).

Almost surely, 213123253430 is an apocalyptic number.

13123253430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123253430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547892000).

13123253430 is an abundant number, since it is smaller than the sum of its proper divisors (25972530570).

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

13123253430 is a wasteful number, since it uses less digits than its factorization.

13123253430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53958 (or 53955 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13123253430 its reverse (3435232131), we get a palindrome (16558485561).

The spelling of 13123253430 in words is "thirteen billion, one hundred twenty-three million, two hundred fifty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 389 630 778 1167 1945 2334 2723 3501 3890 5446 5835 7002 8169 11670 13615 16338 17505 24507 27230 35010 40845 49014 53549 81690 107098 122535 160647 245070 267745 321294 374843 481941 535490 749686 803235 963882 1124529 1606470 1874215 2249058 2409705 3373587 3748430 4819410 5622645 6747174 11245290 16867935 20830561 33735870 41661122 62491683 104152805 124983366 145813927 187475049 208305610 291627854 312458415 374950098 437441781 624916830 729069635 874883562 937375245 1312325343 1458139270 1874750490 2187208905 2624650686 4374417810 6561626715 13123253430