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11132054505 = 3351113244357
BaseRepresentation
bin10100101111000010…
…11010101111101001
31001201210220221222000
422113201122233221
5140244301221010
65040342321213
7542601621255
oct122741325751
931653827860
1011132054505
1147a2833350
1221a8129209
1310853b2300
14778647265
154524767c0
hex29785abe9

11132054505 has 96 divisors (see below), whose sum is σ = 23378440320. Its totient is φ = 4982065920.

The previous prime is 11132054501. The next prime is 11132054509. The reversal of 11132054505 is 50545023111.

11132054505 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 205 + 450 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (11132054501) and next prime (11132054509).

It is not a de Polignac number, because 11132054505 - 22 = 11132054501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11132054501) 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 95 ways as a sum of consecutive naturals, for example, 228787 + ... + 273143.

It is an arithmetic number, because the mean of its divisors is an integer number (243525420).

Almost surely, 211132054505 is an apocalyptic number.

11132054505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11132054505 is an abundant number, since it is smaller than the sum of its proper divisors (12246385815).

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

11132054505 is a wasteful number, since it uses less digits than its factorization.

11132054505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44408 (or 44389 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 11132054505 its reverse (50545023111), we get a palindrome (61677077616).

The spelling of 11132054505 in words is "eleven billion, one hundred thirty-two million, fifty-four thousand, five hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 169 195 297 351 429 495 507 585 715 845 1287 1485 1521 1755 1859 2145 2535 3861 4563 5577 6435 7605 9295 16731 19305 22815 27885 44357 50193 83655 133071 221785 250965 399213 487927 576641 665355 1197639 1463781 1729923 1996065 2439635 2883205 4391343 5189769 5988195 6343051 7318905 7496333 8649615 13174029 15569307 19029153 21956715 22488999 25948845 31715255 37481665 57087459 65870145 67466997 77846535 82459663 95145765 112444995 171262377 202400991 247378989 285437295 337334985 412298315 742136967 856311885 1012004955 1236894945 2226410901 3710684835 11132054505