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13164030132 = 223111014912011
BaseRepresentation
bin11000100001010001…
…10010100010110100
31020222102110000111120
430100220302202310
5203424442431012
610014130503540
7644134260411
oct142050624264
936872400446
1013164030132
11564582a750
122674734bb0
13131a373956
148cc467108
15520a5358c
hex310a328b4

13164030132 has 96 divisors (see below), whose sum is σ = 33925989888. Its totient is φ = 3939600000.

The previous prime is 13164030119. The next prime is 13164030149. The reversal of 13164030132 is 23103046131.

It is a happy number.

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, 6545007 + ... + 6547017.

It is an arithmetic number, because the mean of its divisors is an integer number (353395728).

Almost surely, 213164030132 is an apocalyptic number.

13164030132 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 13164030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16962994944).

13164030132 is an abundant number, since it is smaller than the sum of its proper divisors (20761959756).

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

13164030132 is a wasteful number, since it uses less digits than its factorization.

13164030132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13164030132 its reverse (23103046131), we get a palindrome (36267076263).

The spelling of 13164030132 in words is "thirteen billion, one hundred sixty-four million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 491 606 982 1111 1212 1473 1964 2011 2222 2946 3333 4022 4444 5401 5892 6033 6666 8044 10802 12066 13332 16203 21604 22121 24132 32406 44242 49591 64812 66363 88484 99182 132726 148773 198364 203111 265452 297546 406222 545501 595092 609333 812444 987401 1091002 1218666 1636503 1974802 2182004 2234221 2437332 2962203 3273006 3949604 4468442 5924406 6546012 6702663 8936884 10861411 11848812 13405326 21722822 26810652 32584233 43445644 65168466 99727501 130336932 199455002 299182503 398910004 598365006 1097002511 1196730012 2194005022 3291007533 4388010044 6582015066 13164030132