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11122156142880 = 2535181128017451
BaseRepresentation
bin1010000111011001010000…
…1010101000000100100000
31110101021020011222200210120
42201312110022220010200
52424211133433033010
635353240433400240
72225356253233506
oct241662412500440
943337204880716
1011122156142880
1135a89752090a2
1212b766b709080
13628a792256c3
142a645adc0676
151444a5ab6e70
hexa1d942a8120

11122156142880 has 96 divisors (see below), whose sum is σ = 35228354511168. Its totient is φ = 2949522048000.

The previous prime is 11122156142879. The next prime is 11122156143011. The reversal of 11122156142880 is 8824165122111.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63921846 + ... + 64095605.

It is an arithmetic number, because the mean of its divisors is an integer number (366962026158).

Almost surely, 211122156142880 is an apocalyptic number.

11122156142880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122156142880 is an abundant number, since it is smaller than the sum of its proper divisors (24106198368288).

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

11122156142880 is a wasteful number, since it uses less digits than its factorization.

11122156142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128017650 (or 128017642 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 11122156142880 in words is "eleven trillion, one hundred twenty-two billion, one hundred fifty-six million, one hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 362 480 543 724 905 1086 1448 1810 2172 2715 2896 3620 4344 5430 5792 7240 8688 10860 14480 17376 21720 28960 43440 86880 128017451 256034902 384052353 512069804 640087255 768104706 1024139608 1280174510 1536209412 1920261765 2048279216 2560349020 3072418824 3840523530 4096558432 5120698040 6144837648 7681047060 10241396080 12289675296 15362094120 20482792160 23171158631 30724188240 46342317262 61448376480 69513475893 92684634524 115855793155 139026951786 185369269048 231711586310 278053903572 347567379465 370738538096 463423172620 556107807144 695134758930 741477076192 926846345240 1112215614288 1390269517860 1853692690480 2224431228576 2780539035720 3707385380960 5561078071440 11122156142880