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13242134004 = 22311247613181
BaseRepresentation
bin11000101010100101…
…01110110111110100
31021011212102002212120
430111102232313310
5204104441242004
610030000515540
7646103165451
oct142522566764
937155362776
1013242134004
115685926300
12269691bbb0
1313305bbc68
148d8998828
155278303d9
hex3154aedf4

13242134004 has 144 divisors (see below), whose sum is σ = 35264909568. Its totient is φ = 3861792000.

The previous prime is 13242133987. The next prime is 13242134021. The reversal of 13242134004 is 40043124231.

It is an interprime number because it is at equal distance from previous prime (13242133987) and next prime (13242134021).

It is a super-2 number, since 2×132421340042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 4161294 + ... + 4164474.

Almost surely, 213242134004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13242134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632454784).

13242134004 is an abundant number, since it is smaller than the sum of its proper divisors (22022775564).

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

13242134004 is a wasteful number, since it uses less digits than its factorization.

13242134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13242134004 its reverse (40043124231), we get a palindrome (53285258235).

The spelling of 13242134004 in words is "thirteen billion, two hundred forty-two million, one hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 61 66 94 121 122 132 141 183 188 242 244 282 363 366 484 517 564 671 726 732 1034 1342 1452 1551 2013 2068 2684 2867 3102 3181 4026 5687 5734 6204 6362 7381 8052 8601 9543 11374 11468 12724 14762 17061 17202 19086 22143 22748 29524 31537 34122 34404 34991 38172 44286 63074 68244 69982 88572 94611 104973 126148 139964 149507 189222 194041 209946 299014 346907 378444 384901 388082 419892 448521 582123 598028 693814 769802 776164 897042 1040721 1154703 1164246 1387628 1539604 1644577 1794084 2081442 2134451 2309406 2328492 3289154 4162884 4268902 4618812 4933731 6403353 6578308 8537804 9119927 9867462 12806706 18090347 18239854 19734924 23478961 25613412 27359781 36180694 36479708 46957922 54271041 54719562 70436883 72361388 93915844 100319197 108542082 109439124 140873766 200638394 217084164 281747532 300957591 401276788 601915182 1103511167 1203830364 2207022334 3310533501 4414044668 6621067002 13242134004