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11244005325 = 3252767127839
BaseRepresentation
bin10100111100011000…
…11110011111001101
31002000121120122121200
422132030132133031
5141011431132300
65055422020113
7545431316430
oct123614363715
932017518550
1011244005325
11484aa47693
122219717639
1310a264b5b7
14789469817
1545c1dc200
hex29e31e7cd

11244005325 has 144 divisors (see below), whose sum is σ = 23571824640. Its totient is φ = 5017541760.

The previous prime is 11244005323. The next prime is 11244005341. The reversal of 11244005325 is 52350044211.

11244005325 is a `hidden beast` number, since 1 + 124 + 4 + 0 + 0 + 532 + 5 = 666.

It is not a de Polignac number, because 11244005325 - 21 = 11244005323 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244005323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13401256 + ... + 13402094.

Almost surely, 211244005325 is an apocalyptic number.

11244005325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11244005325 is an abundant number, since it is smaller than the sum of its proper divisors (12327819315).

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

11244005325 is a wasteful number, since it uses less digits than its factorization.

11244005325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 11244005325 its reverse (52350044211), we get a palindrome (63594049536).

The spelling of 11244005325 in words is "eleven billion, two hundred forty-four million, five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 67 75 105 127 175 201 225 315 335 381 469 525 603 635 839 889 1005 1143 1407 1575 1675 1905 2345 2517 2667 3015 3175 4195 4221 4445 5025 5715 5873 7035 7551 8001 8509 9525 11725 12585 13335 15075 17619 20975 21105 22225 25527 28575 29365 35175 37755 40005 42545 52857 56213 59563 62925 66675 76581 88095 105525 106553 127635 146825 168639 178689 188775 200025 212725 264285 281065 297815 319659 382905 393491 440475 505917 532765 536067 638175 745871 843195 893445 958977 1180473 1321425 1405325 1489075 1598295 1914525 1967455 2237613 2529585 2663825 2680335 3541419 3729355 4215975 4467225 4794885 5902365 6712839 7139051 7991475 9837275 11188065 12647925 13401675 17707095 18646775 21417153 23974425 29511825 33564195 35695255 49973357 55940325 64251459 88535475 107085765 149920071 167820975 178476275 249866785 321257295 449760213 535428825 749600355 1249333925 1606286475 2248801065 3748001775 11244005325