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11011079340 = 223252311323537
BaseRepresentation
bin10100100000100111…
…11011110010101100
31001102101021210020100
422100103323302230
5140022314014330
65020341351100
7536602426062
oct122023736254
931371253210
1011011079340
114740515978
122173708490
131066306581
14766556032
15446a2c060
hex2904fbcac

11011079340 has 144 divisors (see below), whose sum is σ = 35162382528. Its totient is φ = 2783649792.

The previous prime is 11011079327. The next prime is 11011079341. The reversal of 11011079340 is 4397011011.

11011079340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11011079341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456052 + ... + 479588.

It is an arithmetic number, because the mean of its divisors is an integer number (244183212).

Almost surely, 211011079340 is an apocalyptic number.

11011079340 is a gapful number since it is divisible by the number (10) 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 11011079340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581191264).

11011079340 is an abundant number, since it is smaller than the sum of its proper divisors (24151303188).

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

11011079340 is a wasteful number, since it uses less digits than its factorization.

11011079340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23688 (or 23683 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 11011079340 in words is "eleven billion, eleven million, seventy-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 113 115 138 180 207 226 230 276 339 345 414 452 460 565 678 690 828 1017 1035 1130 1356 1380 1695 2034 2070 2260 2599 3390 4068 4140 5085 5198 6780 7797 10170 10396 12995 15594 20340 23391 23537 25990 31188 38985 46782 47074 51980 70611 77970 93564 94148 116955 117685 141222 155940 211833 233910 235370 282444 353055 423666 467820 470740 541351 706110 847332 1059165 1082702 1412220 1624053 2118330 2165404 2659681 2706755 3248106 4236660 4872159 5319362 5413510 6496212 7979043 8120265 9744318 10638724 10827020 13298405 15958086 16240530 19488636 23937129 24360795 26596810 31916172 32481060 39895215 47874258 48721590 53193620 61172663 79790430 95748516 97443180 119685645 122345326 159580860 183517989 239371290 244690652 305863315 367035978 478742580 550553967 611726630 734071956 917589945 1101107934 1223453260 1835179890 2202215868 2752769835 3670359780 5505539670 11011079340