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13321230132 = 22374113927827
BaseRepresentation
bin11000110100000000…
…11101011100110100
31021101101020121100210
430122000131130310
5204240213331012
610041504105420
7651053405430
oct143200353464
937341217323
1013321230132
11571653a401
1226b9305270
131343ac3ac2
149052a79c0
1552e75623c
hex31a01d734

13321230132 has 96 divisors (see below), whose sum is σ = 36652815360. Its totient is φ = 3686388480.

The previous prime is 13321230119. The next prime is 13321230133. The reversal of 13321230132 is 23103212331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13321230099 and 13321230108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321230133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464803 + ... + 492629.

It is an arithmetic number, because the mean of its divisors is an integer number (381800160).

Almost surely, 213321230132 is an apocalyptic number.

13321230132 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 13321230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18326407680).

13321230132 is an abundant number, since it is smaller than the sum of its proper divisors (23331585228).

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

13321230132 is a wasteful number, since it uses less digits than its factorization.

13321230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28021 (or 28019 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13321230132 its reverse (23103212331), we get a palindrome (36424442463).

The spelling of 13321230132 in words is "thirteen billion, three hundred twenty-one million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 139 164 246 278 287 417 492 556 574 834 861 973 1148 1668 1722 1946 2919 3444 3892 5699 5838 11398 11676 17097 22796 27827 34194 39893 55654 68388 79786 83481 111308 119679 159572 166962 194789 239358 333924 389578 478716 584367 779156 1140907 1168734 2281814 2337468 3422721 3867953 4563628 6845442 7735906 7986349 11603859 13690884 15471812 15972698 23207718 23959047 27075671 31945396 46415436 47918094 54151342 81227013 95836188 108302684 158586073 162454026 317172146 324908052 475758219 634344292 951516438 1110102511 1903032876 2220205022 3330307533 4440410044 6660615066 13321230132