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111056421520 = 245111181106859
BaseRepresentation
bin110011101101101111…
…0101000001010010000
3101121122201020202021001
41213123132220022100
53304420420442040
6123004004311344
711011040002402
oct1473336501220
9347581222231
10111056421520
114310a500250
12196346a2554
13a61b3302b5
14553761ab72
152d4ec2159a
hex19db7a8290

111056421520 has 80 divisors (see below), whose sum is σ = 281920616640. Its totient is φ = 40349580800.

The previous prime is 111056421493. The next prime is 111056421563. The reversal of 111056421520 is 25124650111.

111056421520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1110564215202 (a number of 23 digits) contains 22 as substring.

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, 985851 + ... + 1092709.

It is an arithmetic number, because the mean of its divisors is an integer number (3524007708).

Almost surely, 2111056421520 is an apocalyptic number.

111056421520 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 111056421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140960308320).

111056421520 is an abundant number, since it is smaller than the sum of its proper divisors (170864195120).

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

111056421520 is a wasteful number, since it uses less digits than its factorization.

111056421520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108064 (or 108058 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 111056421520 in words is "one hundred eleven billion, fifty-six million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1181 2362 4724 5905 9448 11810 12991 18896 23620 25982 47240 51964 64955 94480 103928 106859 129910 207856 213718 259820 427436 519640 534295 854872 1039280 1068590 1175449 1709744 2137180 2350898 4274360 4701796 5877245 8548720 9403592 11754490 18807184 23508980 47017960 94035920 126200479 252400958 504801916 631002395 1009603832 1262004790 1388205269 2019207664 2524009580 2776410538 5048019160 5552821076 6941026345 10096038320 11105642152 13882052690 22211284304 27764105380 55528210760 111056421520