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13422100 = 2252791699
BaseRepresentation
bin110011001100…
…111000010100
3221020220122211
4303030320110
511414001400
61155403204
7222041326
oct63147024
927226584
1013422100
11763824a
1245b3504
132a1c393
141ad5616
1512a1dba
hexccce14

13422100 has 36 divisors (see below), whose sum is σ = 29512000. Its totient is φ = 5297760.

The previous prime is 13422089. The next prime is 13422107. The reversal of 13422100 is 122431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13422107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7051 + ... + 8749.

Almost surely, 213422100 is an apocalyptic number.

13422100 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 13422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756000).

13422100 is an abundant number, since it is smaller than the sum of its proper divisors (16089900).

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

13422100 is a wasteful number, since it uses less digits than its factorization.

13422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13422100 is about 3663.6184299132. The cubic root of 13422100 is about 237.6512794276.

Adding to 13422100 its reverse (122431), we get a palindrome (13544531).

The spelling of 13422100 in words is "thirteen million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1699 1975 3398 3950 6796 7900 8495 16990 33980 42475 84950 134221 169900 268442 536884 671105 1342210 2684420 3355525 6711050 13422100