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13121100 = 22325261239
BaseRepresentation
bin110010000011…
…011001001100
3220200121202200
4302003121030
511324333400
61145121500
7216345636
oct62033114
926617680
1013121100
117452093
124489290
132945385
141a57a56
151242b00
hexc8364c

13121100 has 108 divisors (see below), whose sum is σ = 41976480. Its totient is φ = 3427200.

The previous prime is 13121099. The next prime is 13121117. The reversal of 13121100 is 112131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54781 + ... + 55019.

Almost surely, 213121100 is an apocalyptic number.

13121100 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 13121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20988240).

13121100 is an abundant number, since it is smaller than the sum of its proper divisors (28855380).

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

13121100 is a wasteful number, since it uses less digits than its factorization.

13121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 13121100 is about 3622.3058954208. The cubic root of 13121100 is about 235.8613328835.

Adding to 13121100 its reverse (112131), we get a palindrome (13233231).

The spelling of 13121100 in words is "thirteen million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 239 244 300 305 366 450 478 549 610 717 732 900 915 956 1098 1195 1220 1434 1525 1830 2151 2196 2390 2745 2868 3050 3585 3660 4302 4575 4780 5490 5975 6100 7170 8604 9150 10755 10980 11950 13725 14340 14579 17925 18300 21510 23900 27450 29158 35850 43020 43737 53775 54900 58316 71700 72895 87474 107550 131211 145790 174948 215100 218685 262422 291580 364475 437370 524844 656055 728950 874740 1093425 1312110 1457900 2186850 2624220 3280275 4373700 6560550 13121100