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11331303144 = 2337195716217
BaseRepresentation
bin10101000110110010…
…11111011011101000
31002020200211211201020
422203121133123220
5141201303200034
65112221052440
7550541326140
oct124331373350
932220754636
1011331303144
114895252847
1222429b7120
1310b7765605
14796cb1920
15464bd3249
hex2a365f6e8

11331303144 has 128 divisors (see below), whose sum is σ = 34144281600. Its totient is φ = 3061255680.

The previous prime is 11331303091. The next prime is 11331303167. The reversal of 11331303144 is 44130313311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1819524 + ... + 1825740.

It is an arithmetic number, because the mean of its divisors is an integer number (266752200).

Almost surely, 211331303144 is an apocalyptic number.

11331303144 is a gapful number since it is divisible by the number (14) 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 11331303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072140800).

11331303144 is an abundant number, since it is smaller than the sum of its proper divisors (22812978456).

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

11331303144 is a wasteful number, since it uses less digits than its factorization.

11331303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11331303144 its reverse (44130313311), we get a palindrome (55461616455).

The spelling of 11331303144 in words is "eleven billion, three hundred thirty-one million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 571 798 1064 1142 1596 1713 2284 3192 3426 3997 4568 6217 6852 7994 10849 11991 12434 13704 15988 18651 21698 23982 24868 31976 32547 37302 43396 43519 47964 49736 65094 74604 75943 86792 87038 95928 118123 130188 130557 149208 151886 174076 227829 236246 260376 261114 303772 348152 354369 455658 472492 522228 607544 708738 826861 911316 944984 1044456 1417476 1653722 1822632 2480583 2834952 3307444 3549907 4961166 6614888 7099814 9922332 10649721 14199628 19844664 21299442 24849349 28399256 42598884 49698698 67448233 74548047 85197768 99397396 134896466 149096094 198794792 202344699 269792932 298192188 404689398 472137631 539585864 596384376 809378796 944275262 1416412893 1618757592 1888550524 2832825786 3777101048 5665651572 11331303144