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13310100 = 22325223643
BaseRepresentation
bin110010110001…
…100010010100
3221001020000200
4302301202110
511401410400
61153140500
7221063646
oct62614224
927036020
1013310100
117571091
12455a730
1329b03cb
141aa6896
15127db00
hexcb1894

13310100 has 108 divisors (see below), whose sum is σ = 43601376. Its totient is φ = 3389760.

The previous prime is 13310093. The next prime is 13310107. The reversal of 13310100 is 101331.

It is an interprime number because it is at equal distance from previous prime (13310093) and next prime (13310107).

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 (13310107) 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, 20379 + ... + 21021.

Almost surely, 213310100 is an apocalyptic number.

13310100 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 13310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21800688).

13310100 is an abundant number, since it is smaller than the sum of its proper divisors (30291276).

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

13310100 is a wasteful number, since it uses less digits than its factorization.

13310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

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

The square root of 13310100 is about 3648.3009744263. The cubic root of 13310100 is about 236.9884094102.

Adding to 13310100 its reverse (101331), we get a palindrome (13411431).

The spelling of 13310100 in words is "thirteen million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 643 690 828 900 1035 1150 1286 1380 1725 1929 2070 2300 2572 3215 3450 3858 4140 5175 5787 6430 6900 7716 9645 10350 11574 12860 14789 16075 19290 20700 23148 28935 29578 32150 38580 44367 48225 57870 59156 64300 73945 88734 96450 115740 133101 144675 147890 177468 192900 221835 266202 289350 295780 369725 443670 532404 578700 665505 739450 887340 1109175 1331010 1478900 2218350 2662020 3327525 4436700 6655050 13310100