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11152001025 = 3452114112211
BaseRepresentation
bin10100110001011011…
…00000100000000001
31001210012110100110000
422120231200200001
5140314403013100
65042334030213
7543233305344
oct123055404001
931705410400
1011152001025
114803017480
1221b2948369
131089577299
1477b15a45b
154540b6900
hex298b60801

11152001025 has 120 divisors (see below), whose sum is σ = 23086834848. Its totient is φ = 5274720000.

The previous prime is 11152001009. The next prime is 11152001117. The reversal of 11152001025 is 52010025111.

11152001025 is a `hidden beast` number, since 111 + 520 + 0 + 10 + 25 = 666.

It is not a de Polignac number, because 11152001025 - 24 = 11152001009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11152000989 and 11152001007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 907170 + ... + 919380.

Almost surely, 211152001025 is an apocalyptic number.

11152001025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11152001025 is an abundant number, since it is smaller than the sum of its proper divisors (11934833823).

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

11152001025 is a wasteful number, since it uses less digits than its factorization.

11152001025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285 (or 12271 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 11152001025 its reverse (52010025111), we get a palindrome (63162026136).

The spelling of 11152001025 in words is "eleven billion, one hundred fifty-two million, one thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 41 45 55 75 81 99 123 135 165 205 225 275 297 369 405 451 495 615 675 825 891 1025 1107 1353 1485 1845 2025 2255 2475 3075 3321 4059 4455 5535 6765 7425 9225 11275 12177 12211 16605 20295 22275 27675 33825 36531 36633 60885 61055 83025 101475 109899 134321 182655 183165 304425 305275 329697 402963 500651 549495 671605 913275 915825 989091 1208889 1501953 1648485 2014815 2503255 2747475 3358025 3626667 4505859 4945455 5507161 6044445 7509765 8242425 10074075 10880001 12516275 13517577 16521483 18133335 22529295 24727275 27535805 30222225 37548825 40552731 49564449 54400005 67587885 82607415 90666675 112646475 137679025 148693347 202763655 247822245 272000025 337939425 413037075 446080041 743466735 1013818275 1239111225 2230400205 3717333675 11152001025