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13321285900 = 22521331210663
BaseRepresentation
bin11000110100000001…
…01011000100001100
31021101101100102212021
430122000223010030
5204240222122100
610041505215524
7651054030136
oct143200530414
937341312767
1013321285900
11571657829a
1226b93315a4
131343b132c0
149052c0056
1552e767a1a
hex31a02b10c

13321285900 has 108 divisors (see below), whose sum is σ = 32170451376. Its totient is φ = 4759516800.

The previous prime is 13321285891. The next prime is 13321285907. The reversal of 13321285900 is 958212331.

It is not an unprimeable number, because it can be changed into a prime (13321285907) 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, 1243969 + ... + 1254631.

Almost surely, 213321285900 is an apocalyptic number.

13321285900 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 13321285900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16085225688).

13321285900 is an abundant number, since it is smaller than the sum of its proper divisors (18849165476).

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

13321285900 is a wasteful number, since it uses less digits than its factorization.

13321285900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10752 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 13321285900 in words is "thirteen billion, three hundred twenty-one million, two hundred eighty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 775 806 961 1300 1550 1612 1922 2015 3100 3844 4030 4805 8060 9610 10075 10663 12493 19220 20150 21326 24025 24986 40300 42652 48050 49972 53315 62465 96100 106630 124930 138619 213260 249860 266575 277238 312325 330553 533150 554476 624650 661106 693095 1066300 1249300 1322212 1386190 1652765 2772380 3305530 3465475 4297189 6611060 6930950 8263825 8594378 10247143 13861900 16527650 17188756 20494286 21485945 33055300 40988572 42971890 51235715 85943780 102471430 107429725 133212859 204942860 214859450 256178575 266425718 429718900 512357150 532851436 666064295 1024714300 1332128590 2664257180 3330321475 6660642950 13321285900