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1132255201 = 72112192232
BaseRepresentation
bin100001101111100…
…1101011111100001
32220220112112010211
41003133031133201
54304324131301
6304204054121
740026003400
oct10337153741
92826475124
101132255201
11531146100
12277234341
131507652bc
14aa537637
1569608051
hex437cd7e1

1132255201 has 81 divisors (see below), whose sum is σ = 1597263633. Its totient is φ = 799500240.

The previous prime is 1132255193. The next prime is 1132255217. The reversal of 1132255201 is 1025522311.

The square root of 1132255201 is 33649.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1132255201 - 23 = 1132255193 is a prime.

It is a super-3 number, since 3×11322552013 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1132255261) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49228476 + ... + 49228498.

Almost surely, 21132255201 is an apocalyptic number.

1132255201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1132255201 is the 33649-th square number.

1132255201 is the 16825-th centered octagonal number.

It is an amenable number.

1132255201 is a deficient number, since it is larger than the sum of its proper divisors (465008432).

1132255201 is a wasteful number, since it uses less digits than its factorization.

1132255201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The cubic root of 1132255201 is about 1042.2728893175.

Adding to 1132255201 its reverse (1025522311), we get a palindrome (2157777512).

The spelling of 1132255201 in words is "one billion, one hundred thirty-two million, two hundred fifty-five thousand, two hundred one".

Divisors: 1 7 11 19 23 49 77 121 133 161 209 253 361 437 529 539 847 931 1127 1463 1771 2299 2527 2783 3059 3703 3971 4807 5819 5929 8303 10051 10241 12397 16093 17689 19481 21413 25921 27797 33649 40733 43681 52877 58121 64009 70357 91333 110561 112651 136367 190969 194579 235543 285131 305767 370139 406847 448063 492499 639331 773927 1004663 1216171 1336783 2100659 2140369 2590973 3136441 4475317 5417489 7032641 8513197 9357481 14704613 23107249 49228487 59592379 102932291 161750743 1132255201