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13102200 = 23325229251
BaseRepresentation
bin110001111110…
…110001111000
3220122122211200
4301332301320
511323232300
61144454200
7216236556
oct61766170
926578750
1013102200
117439971
12447a360
1329398a7
141a50bd6
15123c200
hexc7ec78

13102200 has 144 divisors (see below), whose sum is σ = 45700200. Its totient is φ = 3360000.

The previous prime is 13102163. The next prime is 13102207. The reversal of 13102200 is 220131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102207) 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, 52075 + ... + 52325.

Almost surely, 213102200 is an apocalyptic number.

13102200 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 13102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850100).

13102200 is an abundant number, since it is smaller than the sum of its proper divisors (32598000).

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

13102200 is a wasteful number, since it uses less digits than its factorization.

13102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13102200 is about 3619.6961198421. The cubic root of 13102200 is about 235.7480313748.

Adding to 13102200 its reverse (220131), we get a palindrome (13322331).

The spelling of 13102200 in words is "thirteen million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 100 116 120 145 150 174 180 200 225 232 251 261 290 300 348 360 435 450 502 522 580 600 696 725 753 870 900 1004 1044 1160 1255 1305 1450 1506 1740 1800 2008 2088 2175 2259 2510 2610 2900 3012 3480 3765 4350 4518 5020 5220 5800 6024 6275 6525 7279 7530 8700 9036 10040 10440 11295 12550 13050 14558 15060 17400 18072 18825 21837 22590 25100 26100 29116 30120 36395 37650 43674 45180 50200 52200 56475 58232 65511 72790 75300 87348 90360 109185 112950 131022 145580 150600 174696 181975 218370 225900 262044 291160 327555 363950 436740 451800 524088 545925 655110 727900 873480 1091850 1310220 1455800 1637775 2183700 2620440 3275550 4367400 6551100 13102200