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13300023132 = 22321160755331
BaseRepresentation
bin11000110001011111…
…00011111101011100
31021022220100011211100
430120233203331130
5204214301220012
610035425353100
7650405221434
oct143057437534
937286304740
1013300023132
115705575260
1226b2198790
13133c5aa196
149025472c4
1552c9678dc
hex318be3f5c

13300023132 has 72 divisors (see below), whose sum is σ = 36736906752. Its totient is φ = 4023597600.

The previous prime is 13300023131. The next prime is 13300023137. The reversal of 13300023132 is 23132000331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300023131) 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, 212707 + ... + 268037.

It is an arithmetic number, because the mean of its divisors is an integer number (510234816).

Almost surely, 213300023132 is an apocalyptic number.

13300023132 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 13300023132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18368453376).

13300023132 is an abundant number, since it is smaller than the sum of its proper divisors (23436883620).

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

13300023132 is a wasteful number, since it uses less digits than its factorization.

13300023132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55959 (or 55954 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13300023132 its reverse (23132000331), we get a palindrome (36432023463).

The spelling of 13300023132 in words is "thirteen billion, three hundred million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 607 1214 1821 2428 3642 5463 6677 7284 10926 13354 20031 21852 26708 40062 55331 60093 80124 110662 120186 165993 221324 240372 331986 497979 608641 663972 995958 1217282 1825923 1991916 2434564 3651846 5477769 7303692 10955538 21911076 33585917 67171834 100757751 134343668 201515502 302273253 369445087 403031004 604546506 738890174 1108335261 1209093012 1477780348 2216670522 3325005783 4433341044 6650011566 13300023132