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12321403002 = 23223199347431
BaseRepresentation
bin10110111100110100…
…11011000001111010
31011210200220010101100
423132122123001322
5200213234344002
65354350232230
7614223124506
oct133632330172
934720803340
1012321403002
115253124497
12247a4b5676
13121491750c
1484c5a3306
154c1aab11c
hex2de69b07a

12321403002 has 96 divisors (see below), whose sum is σ = 28142899200. Its totient is φ = 3888514080.

The previous prime is 12321402971. The next prime is 12321403007. The reversal of 12321403002 is 20030412321.

12321403002 is a `hidden beast` number, since 1 + 2 + 321 + 40 + 300 + 2 = 666.

It is a super-2 number, since 2×123214030022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12321403007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28587727 + ... + 28588157.

It is an arithmetic number, because the mean of its divisors is an integer number (293155200).

Almost surely, 212321403002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321403002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071449600).

12321403002 is an abundant number, since it is smaller than the sum of its proper divisors (15821496198).

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

12321403002 is a wasteful number, since it uses less digits than its factorization.

12321403002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12321403002 its reverse (20030412321), we get a palindrome (32351815323).

The spelling of 12321403002 in words is "twelve billion, three hundred twenty-one million, four hundred three thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 138 199 207 347 398 414 431 597 694 862 1041 1194 1293 1791 2082 2586 3123 3582 3879 4577 6246 7758 7981 9154 9913 13731 15962 19826 23943 27462 29739 41193 47886 59478 69053 71829 82386 85769 89217 138106 143658 149557 171538 178434 207159 257307 299114 414318 448671 514614 621477 771921 897342 1242954 1346013 1543842 1588219 1972687 2692026 3176438 3439811 3945374 4764657 5918061 6879622 9529314 10319433 11836122 14293971 17754183 20638866 28587942 29761843 30958299 35508366 59523686 61916598 89285529 178571058 267856587 535713174 684522389 1369044778 2053567167 4107134334 6160701501 12321403002