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11241134352 = 24327104910631
BaseRepresentation
bin10100111100000011…
…00001100100010000
31002000102011210101100
422132001201210100
5141010212244402
65055240304400
7545365031310
oct123601414420
932012153340
1011241134352
114849366688
122218772100
1310a1b848b6
14788d1d440
1545bd2171c
hex29e061910

11241134352 has 120 divisors (see below), whose sum is σ = 35991446400. Its totient is φ = 3208389120.

The previous prime is 11241134341. The next prime is 11241134389. The reversal of 11241134352 is 25343114211.

11241134352 is a `hidden beast` number, since 112 + 4 + 113 + 435 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1052077 + ... + 1062707.

It is an arithmetic number, because the mean of its divisors is an integer number (299928720).

Almost surely, 211241134352 is an apocalyptic number.

11241134352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11241134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17995723200).

11241134352 is an abundant number, since it is smaller than the sum of its proper divisors (24750312048).

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

11241134352 is a wasteful number, since it uses less digits than its factorization.

11241134352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11701 (or 11692 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 11241134352 its reverse (25343114211), we get a palindrome (36584248563).

The spelling of 11241134352 in words is "eleven billion, two hundred forty-one million, one hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1049 2098 3147 4196 6294 7343 8392 9441 10631 12588 14686 16784 18882 21262 22029 25176 29372 31893 37764 42524 44058 50352 58744 63786 66087 74417 75528 85048 88116 95679 117488 127572 132174 148834 151056 170096 176232 191358 223251 255144 264348 297668 352464 382716 446502 510288 528696 595336 669753 765432 893004 1057392 1190672 1339506 1530864 1786008 2679012 3572016 5358024 10716048 11151919 22303838 33455757 44607676 66911514 78063433 89215352 100367271 133823028 156126866 178430704 200734542 234190299 267646056 312253732 401469084 468380598 535292112 624507464 702570897 802938168 936761196 1249014928 1405141794 1605876336 1873522392 2810283588 3747044784 5620567176 11241134352