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133100102200 = 235213167306541
BaseRepresentation
bin111101111110101100…
…0100110001000111000
3110201112222022202100211
41323331120212020320
54140042111232300
6141051221040504
712421226126122
oct1737530461070
9421488282324
10133100102200
11514a15a086a
1221966b56134
13c722237230
1466290cc212
1536e00cc4ba
hex1efd626238

133100102200 has 96 divisors (see below), whose sum is σ = 335258854560. Its totient is φ = 48850214400.

The previous prime is 133100102189. The next prime is 133100102207. The reversal of 133100102200 is 2201001331.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133100102207) 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, 280930 + ... + 587470.

It is an arithmetic number, because the mean of its divisors is an integer number (3492279735).

Almost surely, 2133100102200 is an apocalyptic number.

133100102200 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 133100102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167629427280).

133100102200 is an abundant number, since it is smaller than the sum of its proper divisors (202158752360).

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

133100102200 is a wasteful number, since it uses less digits than its factorization.

133100102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306737 (or 306728 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 133100102200 its reverse (2201001331), we get a palindrome (135301103531).

The spelling of 133100102200 in words is "one hundred thirty-three billion, one hundred million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 167 200 260 325 334 520 650 668 835 1300 1336 1670 2171 2600 3340 4175 4342 6680 8350 8684 10855 16700 17368 21710 33400 43420 54275 86840 108550 217100 306541 434200 613082 1226164 1532705 2452328 3065410 3985033 6130820 7663525 7970066 12261640 15327050 15940132 19925165 30654100 31880264 39850330 51192347 61308200 79700660 99625825 102384694 159401320 199251650 204769388 255961735 398503300 409538776 511923470 665500511 797006600 1023846940 1279808675 1331001022 2047693880 2559617350 2662002044 3327502555 5119234700 5324004088 6655005110 10238469400 13310010220 16637512775 26620020440 33275025550 66550051100 133100102200