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13553102200 = 2352117098689
BaseRepresentation
bin11001001111101001…
…11110110101111000
31021222112112221001011
430213310332311320
5210224043232300
610120510003304
7656600316331
oct144764766570
937875487034
1013553102200
115825411310
122762aa6534
13137cb5a201
14927dc5288
15544ca8eba
hex327d3ed78

13553102200 has 96 divisors (see below), whose sum is σ = 34428042000. Its totient is φ = 4920883200.

The previous prime is 13553102149. The next prime is 13553102203. The reversal of 13553102200 is 220135531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13553102203) 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, 1555456 + ... + 1564144.

Almost surely, 213553102200 is an apocalyptic number.

13553102200 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 13553102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17214021000).

13553102200 is an abundant number, since it is smaller than the sum of its proper divisors (20874939800).

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

13553102200 is a wasteful number, since it uses less digits than its factorization.

13553102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9416 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 13553102200 its reverse (220135531), we get a palindrome (13773237731).

The spelling of 13553102200 in words is "thirteen billion, five hundred fifty-three million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 709 1100 1418 2200 2836 3545 5672 7090 7799 8689 14180 15598 17378 17725 28360 31196 34756 35450 38995 43445 62392 69512 70900 77990 86890 95579 141800 155980 173780 191158 194975 217225 311960 347560 382316 389950 434450 477895 764632 779900 868900 955790 1559800 1737800 1911580 2389475 3823160 4778950 6160501 9557900 12321002 19115800 24642004 30802505 49284008 61605010 67765511 123210020 135531022 154012525 246420040 271062044 308025050 338827555 542124088 616050100 677655110 1232100200 1355310220 1694137775 2710620440 3388275550 6776551100 13553102200