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13302131112 = 23321034434049
BaseRepresentation
bin11000110001101111…
…00110100110101000
31021100001022021102200
430120313212212220
5204220321143422
610035542500200
7650432151234
oct143067464650
937301267380
1013302131112
115706784a96
1226b2a34660
13133cb677ca
149029355c4
1552cc322ac
hex318de69a8

13302131112 has 96 divisors (see below), whose sum is σ = 36467496000. Its totient is φ = 4380000768.

The previous prime is 13302131111. The next prime is 13302131113. The reversal of 13302131112 is 21113120331.

13302131112 is a `hidden beast` number, since 1 + 330 + 21 + 311 + 1 + 2 = 666.

13302131112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13302131111) and next prime (13302131113).

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 (13302131111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3283264 + ... + 3287312.

It is an arithmetic number, because the mean of its divisors is an integer number (379869750).

Almost surely, 213302131112 is an apocalyptic number.

13302131112 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 13302131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18233748000).

13302131112 is an abundant number, since it is smaller than the sum of its proper divisors (23165364888).

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

13302131112 is a wasteful number, since it uses less digits than its factorization.

13302131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13302131112 its reverse (21113120331), we get a palindrome (34415251443).

The spelling of 13302131112 in words is "thirteen billion, three hundred two million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 443 618 824 886 927 1236 1329 1772 1854 2472 2658 3544 3708 3987 4049 5316 7416 7974 8098 10632 12147 15948 16196 24294 31896 32392 36441 45629 48588 72882 91258 97176 136887 145764 182516 273774 291528 365032 410661 417047 547548 821322 834094 1095096 1251141 1642644 1668188 1793707 2502282 3285288 3336376 3587414 3753423 5004564 5381121 7174828 7506846 10009128 10762242 14349656 15013692 16143363 21524484 30027384 32286726 43048968 64573452 129146904 184751821 369503642 554255463 739007284 1108510926 1478014568 1662766389 2217021852 3325532778 4434043704 6651065556 13302131112