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20113100 = 2252759487
BaseRepresentation
bin100110010111…
…0011011001100
31101211211222122
41030232123030
520122104400
61555032112
7332646530
oct114563314
941754878
1020113100
11103982a7
12689b638
134222a57
142957bc0
151b74685
hex132e6cc

20113100 has 72 divisors (see below), whose sum is σ = 50830080. Its totient is φ = 6765120.

The previous prime is 20113099. The next prime is 20113123. The reversal of 20113100 is 131102.

It is a super-2 number, since 2×201131002 = 809073583220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41057 + ... + 41543.

Almost surely, 220113100 is an apocalyptic number.

20113100 is a gapful number since it is divisible by the number (20) 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 20113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25415040).

20113100 is an abundant number, since it is smaller than the sum of its proper divisors (30716980).

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

20113100 is a wasteful number, since it uses less digits than its factorization.

20113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 20113100 is about 4484.7630929627. The cubic root of 20113100 is about 271.9524679053.

Adding to 20113100 its reverse (131102), we get a palindrome (20244202).

The spelling of 20113100 in words is "twenty million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 487 590 700 826 974 1180 1475 1652 1948 2065 2435 2950 3409 4130 4870 5900 6818 8260 9740 10325 12175 13636 17045 20650 24350 28733 34090 41300 48700 57466 68180 85225 114932 143665 170450 201131 287330 340900 402262 574660 718325 804524 1005655 1436650 2011310 2873300 4022620 5028275 10056550 20113100