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11525211120 = 2435152331531
BaseRepresentation
bin10101011101111010…
…01100001111110000
31002202012201101110010
422232331030033300
5142100423223440
65143345134520
7555414451413
oct125675141760
932665641403
1011525211120
114984754775
12229792a440
131118998a67
147b4949b7a
15476c37580
hex2aef4c3f0

11525211120 has 80 divisors (see below), whose sum is σ = 35752747392. Its totient is φ = 3071274240.

The previous prime is 11525211053. The next prime is 11525211127. The reversal of 11525211120 is 2111252511.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11525211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349755 + ... + 381285.

Almost surely, 211525211120 is an apocalyptic number.

11525211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11525211120 is an abundant number, since it is smaller than the sum of its proper divisors (24227536272).

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

11525211120 is a wasteful number, since it uses less digits than its factorization.

11525211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33070 (or 33064 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

Adding to 11525211120 its reverse (2111252511), we get a palindrome (13636463631).

The spelling of 11525211120 in words is "eleven billion, five hundred twenty-five million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1523 3046 4569 6092 7615 9138 12184 15230 18276 22845 24368 30460 31531 36552 45690 60920 63062 73104 91380 94593 121840 126124 157655 182760 189186 252248 315310 365520 378372 472965 504496 630620 756744 945930 1261240 1513488 1891860 2522480 3783720 7567440 48021713 96043426 144065139 192086852 240108565 288130278 384173704 480217130 576260556 720325695 768347408 960434260 1152521112 1440651390 1920868520 2305042224 2881302780 3841737040 5762605560 11525211120