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201113136 = 243271271571
BaseRepresentation
bin10111111110010…
…11111000110000
3112000102121100200
423333023320300
5402441110021
631542315200
74661301450
oct1377137060
9460377320
10201113136
11a3583304
1257428b00
1332886b73
141c9d1d60
15129c9126
hexbfcbe30

201113136 has 120 divisors (see below), whose sum is σ = 648720384. Its totient is φ = 56972160.

The previous prime is 201113131. The next prime is 201113153. The reversal of 201113136 is 631311102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201113131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127231 + ... + 128801.

Almost surely, 2201113136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201113136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324360192).

201113136 is an abundant number, since it is smaller than the sum of its proper divisors (447607248).

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

201113136 is a wasteful number, since it uses less digits than its factorization.

201113136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 201113136 is about 14181.4363165372. The cubic root of 201113136 is about 585.8864841642.

Adding to 201113136 its reverse (631311102), we get a palindrome (832424238).

The spelling of 201113136 in words is "two hundred one million, one hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 127 144 168 252 254 336 381 504 508 762 889 1008 1016 1143 1524 1571 1778 2032 2286 2667 3048 3142 3556 4572 4713 5334 6096 6284 7112 8001 9144 9426 10668 10997 12568 14139 14224 16002 18288 18852 21336 21994 25136 28278 32004 32991 37704 42672 43988 56556 64008 65982 75408 87976 98973 113112 128016 131964 175952 197946 199517 226224 263928 395892 399034 527856 598551 791784 798068 1197102 1396619 1583568 1596136 1795653 2394204 2793238 3192272 3591306 4189857 4788408 5586476 7182612 8379714 9576816 11172952 12569571 14365224 16759428 22345904 25139142 28730448 33518856 50278284 67037712 100556568 201113136