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123424000232 = 23132293147929
BaseRepresentation
bin111001011110010100…
…1001100100011101000
3102210120122000211210212
41302330221030203220
54010233021001412
6132411124400252
711626363456241
oct1627451144350
9383518024725
10123424000232
11483866a3185
121bb06546088
13b83c694300
145d8bd9dcc8
15332589e222
hex1cbca4c8e8

123424000232 has 48 divisors (see below), whose sum is σ = 259232035500. Its totient is φ = 55000598016.

The previous prime is 123424000223. The next prime is 123424000283. The reversal of 123424000232 is 232000424321.

It can be written as a sum of positive squares in 6 ways, for example, as 19447418116 + 103976582116 = 139454^2 + 322454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123424000198 and 123424000207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1534757 + ... + 1613172.

Almost surely, 2123424000232 is an apocalyptic number.

It is an amenable number.

123424000232 is an abundant number, since it is smaller than the sum of its proper divisors (135808035268).

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

123424000232 is a wasteful number, since it uses less digits than its factorization.

123424000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147990 (or 3147973 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 123424000232 its reverse (232000424321), we get a palindrome (355424424553).

The spelling of 123424000232 in words is "one hundred twenty-three billion, four hundred twenty-four million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 29 52 58 104 116 169 232 338 377 676 754 1352 1508 3016 4901 9802 19604 39208 3147929 6295858 12591716 25183432 40923077 81846154 91289941 163692308 182579882 327384616 365159764 532000001 730319528 1064000002 1186769233 2128000004 2373538466 4256000008 4747076932 9494153864 15428000029 30856000058 61712000116 123424000232