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13002322032 = 24327118710867
BaseRepresentation
bin11000001101111111…
…11011000001110000
31020120011011101200200
430012333323001300
5203112043301112
65550112515200
7640131625260
oct140677730160
936504141620
1013002322032
115572520a97
12262a54bb00
1312c2a0589b
148b4bb17a0
1551175ecdc
hex306ffb070

13002322032 has 120 divisors (see below), whose sum is σ = 41625657216. Its totient is φ = 3711477888.

The previous prime is 13002322031. The next prime is 13002322093. The reversal of 13002322032 is 23022320031.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13002321996 and 13002322014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002322031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191063 + ... + 1201929.

Almost surely, 213002322032 is an apocalyptic number.

13002322032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20812828608).

13002322032 is an abundant number, since it is smaller than the sum of its proper divisors (28623335184).

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

13002322032 is a wasteful number, since it uses less digits than its factorization.

13002322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13002322032 its reverse (23022320031), we get a palindrome (36024642063).

The spelling of 13002322032 in words is "thirteen billion, two million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1187 2374 3561 4748 7122 8309 9496 10683 10867 14244 16618 18992 21366 21734 24927 28488 32601 33236 42732 43468 49854 56976 65202 66472 74781 76069 85464 86936 97803 99708 130404 132944 149562 152138 170928 173872 195606 199416 228207 260808 299124 304276 391212 398832 456414 521616 598248 608552 684621 782424 912828 1196496 1217104 1369242 1564848 1825656 2738484 3651312 5476968 10953936 12899129 25798258 38697387 51596516 77394774 90293903 103193032 116092161 154789548 180587806 206386064 232184322 270881709 309579096 361175612 464368644 541763418 619158192 722351224 812645127 928737288 1083526836 1444702448 1625290254 1857474576 2167053672 3250580508 4334107344 6501161016 13002322032