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201113040 = 24356131367
BaseRepresentation
bin10111111110010…
…11110111010000
3112000102121020010
423333023313100
5402441104130
631542314520
74661301252
oct1377136720
9460377203
10201113040
11a3583227
1257428a40
1332886acb
141c9d1cd2
15129c90b0
hexbfcbdd0

201113040 has 80 divisors (see below), whose sum is σ = 624924288. Its totient is φ = 53503488.

The previous prime is 201112991. The next prime is 201113069. The reversal of 201113040 is 40311102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146437 + ... + 147803.

Almost surely, 2201113040 is an apocalyptic number.

201113040 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 201113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312462144).

201113040 is an abundant number, since it is smaller than the sum of its proper divisors (423811248).

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

201113040 is a wasteful number, since it uses less digits than its factorization.

201113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201113040 is about 14181.4329318303. The cubic root of 201113040 is about 585.8863909412.

Adding to 201113040 its reverse (40311102), we get a palindrome (241424142).

It can be divided in two parts, 2011 and 13040, that added together give a palindrome (15051).

The spelling of 201113040 in words is "two hundred one million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 613 1226 1367 1839 2452 2734 3065 3678 4101 4904 5468 6130 6835 7356 8202 9195 9808 10936 12260 13670 14712 16404 18390 20505 21872 24520 27340 29424 32808 36780 41010 49040 54680 65616 73560 82020 109360 147120 164040 328080 837971 1675942 2513913 3351884 4189855 5027826 6703768 8379710 10055652 12569565 13407536 16759420 20111304 25139130 33518840 40222608 50278260 67037680 100556520 201113040