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11201004 = 2234181191
BaseRepresentation
bin101010101110…
…100111101100
3210002001220000
4222232213230
510331413004
61040024300
7164130663
oct52564754
923061800
1011201004
116360531
123902090
132422419
1416b7dda
15eb3c39
hexaae9ec

11201004 has 60 divisors (see below), whose sum is σ = 29597568. Its totient is φ = 3693600.

The previous prime is 11200999. The next prime is 11201017. The reversal of 11201004 is 40010211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58549 + ... + 58739.

Almost surely, 211201004 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 11201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798784).

11201004 is an abundant number, since it is smaller than the sum of its proper divisors (18396564).

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

11201004 is a wasteful number, since it uses less digits than its factorization.

11201004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11201004 is about 3346.7901039653. The cubic root of 11201004 is about 223.7444737147.

Adding to 11201004 its reverse (40010211), we get a palindrome (51211215).

The spelling of 11201004 in words is "eleven million, two hundred one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 191 324 362 382 543 573 724 764 1086 1146 1629 1719 2172 2292 3258 3438 4887 5157 6516 6876 9774 10314 14661 15471 19548 20628 29322 30942 34571 58644 61884 69142 103713 138284 207426 311139 414852 622278 933417 1244556 1866834 2800251 3733668 5600502 11201004