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13003200100 = 22521173316127
BaseRepresentation
bin11000001110000110…
…10001011001100100
31020120012211000011201
430013003101121210
5203112304400400
65550143412244
7640142243242
oct140703213144
936505730151
1013003200100
115572a70770
12262a8b4084
1312c2c52457
148b4d5d792
1551188506a
hex3070d1664

13003200100 has 72 divisors (see below), whose sum is σ = 30826027008. Its totient is φ = 4721692800.

The previous prime is 13003200079. The next prime is 13003200109. The reversal of 13003200100 is 100230031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13003200109) 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, 798237 + ... + 814363.

It is an arithmetic number, because the mean of its divisors is an integer number (428139264).

Almost surely, 213003200100 is an apocalyptic number.

13003200100 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 13003200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15413013504).

13003200100 is an abundant number, since it is smaller than the sum of its proper divisors (17822826908).

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

13003200100 is a wasteful number, since it uses less digits than its factorization.

13003200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16885 (or 16878 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13003200100 its reverse (100230031), we get a palindrome (13103430131).

The spelling of 13003200100 in words is "thirteen billion, three million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 733 1100 1466 2932 3665 7330 8063 14660 16126 16127 18325 32252 32254 36650 40315 64508 73300 80630 80635 161260 161270 177397 201575 322540 354794 403150 403175 709588 806300 806350 886985 1612700 1773970 3547940 4434925 8869850 11821091 17739700 23642182 47284364 59105455 118210910 130032001 236421820 260064002 295527275 520128004 591054550 650160005 1182109100 1300320010 2600640020 3250800025 6501600050 13003200100