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11152072100 = 22521323372979
BaseRepresentation
bin10100110001011011…
…10001110110100100
31001210012120221221102
422120231301312210
5140314412301400
65042335335232
7543234022511
oct123055616644
931705527842
1011152072100
114803065914
1221b2981518
1310895a0740
1477b178308
154540cc9d5
hex298b71da4

11152072100 has 72 divisors (see below), whose sum is σ = 27194717760. Its totient is φ = 3938647680.

The previous prime is 11152072093. The next prime is 11152072133. The reversal of 11152072100 is 127025111.

It is a happy number.

11152072100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 156590 + ... + 216389.

Almost surely, 211152072100 is an apocalyptic number.

11152072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11152072100 is an abundant number, since it is smaller than the sum of its proper divisors (16042645660).

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

11152072100 is a wasteful number, since it uses less digits than its factorization.

11152072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373029 (or 373022 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 11152072100 its reverse (127025111), we get a palindrome (11279097211).

The spelling of 11152072100 in words is "eleven billion, one hundred fifty-two million, seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 372979 745958 1491916 1864895 3729790 4848727 7459580 8578517 9324475 9697454 17157034 18648950 19394908 24243635 34314068 37297900 42892585 48487270 85785170 96974540 111520721 121218175 171570340 214462925 223041442 242436350 428925850 446082884 484872700 557603605 857851700 1115207210 2230414420 2788018025 5576036050 11152072100