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13100100 = 22352133359
BaseRepresentation
bin110001111110…
…010001000100
3220122112221220
4301332101010
511323200400
61144440340
7216230466
oct61762104
926575856
1013100100
117438332
1244790b0
132938950
141a50136
15123b7a0
hexc7e444

13100100 has 72 divisors (see below), whose sum is σ = 40830720. Its totient is φ = 3223680.

The previous prime is 13100089. The next prime is 13100111. The reversal of 13100100 is 100131.

It is an interprime number because it is at equal distance from previous prime (13100089) and next prime (13100111).

It is a super-2 number, since 2×131001002 = 343225240020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2221 + ... + 5579.

Almost surely, 213100100 is an apocalyptic number.

13100100 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 13100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415360).

13100100 is an abundant number, since it is smaller than the sum of its proper divisors (27730620).

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

13100100 is a wasteful number, since it uses less digits than its factorization.

13100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 13100100 is about 3619.4060286185. The cubic root of 13100100 is about 235.7354355940.

Adding to 13100100 its reverse (100131), we get a palindrome (13200231).

The spelling of 13100100 in words is "thirteen million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3359 3900 6718 10077 13436 16795 20154 33590 40308 43667 50385 67180 83975 87334 100770 131001 167950 174668 201540 218335 251925 262002 335900 436670 503850 524004 655005 873340 1007700 1091675 1310010 2183350 2620020 3275025 4366700 6550050 13100100