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13020443124 = 22313673533529
BaseRepresentation
bin11000010000001010…
…00011000111110100
31020121102021001011020
430020011003013310
5203131213134444
65552001141140
7640441640403
oct141005030764
936542231136
1013020443124
1155817786a7
12263462a7b0
1312c66aba20
148b736b63a
1551313e119
hex3081431f4

13020443124 has 96 divisors (see below), whose sum is σ = 33309870720. Its totient is φ = 3934199808.

The previous prime is 13020443081. The next prime is 13020443131. The reversal of 13020443124 is 42134402031.

It is a junction number, because it is equal to n+sod(n) for n = 13020443094 and 13020443103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3687792 + ... + 3691320.

It is an arithmetic number, because the mean of its divisors is an integer number (346977820).

Almost surely, 213020443124 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 13020443124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654935360).

13020443124 is an abundant number, since it is smaller than the sum of its proper divisors (20289427596).

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

13020443124 is a wasteful number, since it uses less digits than its factorization.

13020443124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3967 counting only the distinct ones).

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

Adding to 13020443124 its reverse (42134402031), we get a palindrome (55154845155).

The spelling of 13020443124 in words is "thirteen billion, twenty million, four hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 353 402 706 804 871 1059 1412 1742 2118 2613 3484 3529 4236 4589 5226 7058 9178 10452 10587 13767 14116 18356 21174 23651 27534 42348 45877 47302 55068 70953 91754 94604 137631 141906 183508 236443 275262 283812 307463 472886 550524 614926 709329 922389 945772 1229852 1245737 1418658 1844778 2491474 2837316 3073759 3689556 3737211 4982948 6147518 7474422 9221277 12295036 14948844 16194581 18442554 32389162 36885108 48583743 64778324 83464379 97167486 166928758 194334972 250393137 333857516 500786274 1001572548 1085036927 2170073854 3255110781 4340147708 6510221562 13020443124