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11082021480 = 2334525113627
BaseRepresentation
bin10100101001000101…
…00011101001101000
31001121022210000120000
422110202203221220
5140143444141410
65031354103000
7541423425345
oct122442435150
931538700500
1011082021480
11477756a842
12219341aa60
131077c14b7a
14771b417cc
1544cd91dc0
hex2948a3a68

11082021480 has 160 divisors (see below), whose sum is σ = 37399047840. Its totient is φ = 2943216000.

The previous prime is 11082021409. The next prime is 11082021481. The reversal of 11082021480 is 8412028011.

It is a super-2 number, since 2×110820214802 (a number of 21 digits) contains 22 as substring.

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 (11082021481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 806427 + ... + 820053.

It is an arithmetic number, because the mean of its divisors is an integer number (233744049).

Almost surely, 211082021480 is an apocalyptic number.

11082021480 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 11082021480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699523920).

11082021480 is an abundant number, since it is smaller than the sum of its proper divisors (26317026360).

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

11082021480 is a wasteful number, since it uses less digits than its factorization.

11082021480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13901 (or 13888 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 11082021480 its reverse (8412028011), we get a palindrome (19494049491).

The spelling of 11082021480 in words is "eleven billion, eighty-two million, twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 251 270 324 360 405 502 540 648 753 810 1004 1080 1255 1506 1620 2008 2259 2510 3012 3240 3765 4518 5020 6024 6777 7530 9036 10040 11295 13554 13627 15060 18072 20331 22590 27108 27254 30120 33885 40662 40881 45180 54216 54508 67770 68135 81324 81762 90360 101655 109016 122643 135540 136270 162648 163524 203310 204405 245286 271080 272540 327048 367929 406620 408810 490572 545080 613215 735858 813240 817620 981144 1103787 1226430 1471716 1635240 1839645 2207574 2452860 2943432 3420377 3679290 4415148 4905720 5518935 6840754 7358580 8830296 10261131 11037870 13681508 14717160 17101885 20522262 22075740 27363016 30783393 34203770 41044524 44151480 51305655 61566786 68407540 82089048 92350179 102611310 123133572 136815080 153916965 184700358 205222620 246267144 277050537 307833930 369400716 410445240 461750895 554101074 615667860 738801432 923501790 1108202148 1231335720 1385252685 1847003580 2216404296 2770505370 3694007160 5541010740 11082021480