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13125334300 = 22521327310639
BaseRepresentation
bin11000011100101010…
…01011010100011100
31020212201122001210121
430032111023110130
5203340041144200
610010225244324
7643154333521
oct141625132434
936781561717
1013125334300
1156259aaa21
1226637936a4
131312345900
148c7273148
1551c45ce1a
hex30e54b51c

13125334300 has 108 divisors (see below), whose sum is σ = 31266852960. Its totient is φ = 4779440640.

The previous prime is 13125334297. The next prime is 13125334309. The reversal of 13125334300 is 343352131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125334309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1228381 + ... + 1239019.

Almost surely, 213125334300 is an apocalyptic number.

13125334300 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 13125334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633426480).

13125334300 is an abundant number, since it is smaller than the sum of its proper divisors (18141518660).

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

13125334300 is a wasteful number, since it uses less digits than its factorization.

13125334300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10752 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 13125334300 its reverse (343352131), we get a palindrome (13468686431).

The spelling of 13125334300 in words is "thirteen billion, one hundred twenty-five million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 73 100 130 146 169 260 292 325 338 365 650 676 730 845 949 1300 1460 1690 1825 1898 3380 3650 3796 4225 4745 7300 8450 9490 10639 12337 16900 18980 21278 23725 24674 42556 47450 49348 53195 61685 94900 106390 123370 138307 212780 246740 265975 276614 308425 531950 553228 616850 691535 776647 1063900 1233700 1383070 1553294 1797991 2766140 3106588 3457675 3595982 3883235 6915350 7191964 7766470 8989955 10096411 13830700 15532940 17979910 19416175 20192822 35959820 38832350 40385644 44949775 50482055 77664700 89899550 100964110 131253343 179799100 201928220 252410275 262506686 504820550 525013372 656266715 1009641100 1312533430 2625066860 3281333575 6562667150 13125334300