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13112333300 = 22521133136013
BaseRepresentation
bin11000011011000111…
…00101001111110100
31020211211011112210002
430031203211033310
5203323224131200
610005042450432
7642635664653
oct141543451764
936754145702
1013112333300
1156196300a0
12265b363a18
13130c743101
148c564b19a
1551b240bd5
hex30d8e53f4

13112333300 has 72 divisors (see below), whose sum is σ = 31135111392. Its totient is φ = 4753584000.

The previous prime is 13112333261. The next prime is 13112333303. The reversal of 13112333300 is 333321131.

It is a super-3 number, since 3×131123333003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112333303) 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, 346094 + ... + 382106.

Almost surely, 213112333300 is an apocalyptic number.

13112333300 is a gapful number since it is divisible by the number (10) 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 13112333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567555696).

13112333300 is an abundant number, since it is smaller than the sum of its proper divisors (18022778092).

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

13112333300 is a wasteful number, since it uses less digits than its factorization.

13112333300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36369 (or 36362 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13112333300 its reverse (333321131), we get a palindrome (13445654431).

The spelling of 13112333300 in words is "thirteen billion, one hundred twelve million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 331 550 662 1100 1324 1655 3310 3641 6620 7282 8275 14564 16550 18205 33100 36013 36410 72026 72820 91025 144052 180065 182050 360130 364100 396143 720260 792286 900325 1584572 1800650 1980715 3601300 3961430 7922860 9903575 11920303 19807150 23840606 39614300 47681212 59601515 119203030 131123333 238406060 262246666 298007575 524493332 596015150 655616665 1192030300 1311233330 2622466660 3278083325 6556166650 13112333300