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1101300333132 = 22319103131357983
BaseRepresentation
bin10000000001101010100…
…111010111101001001100
310220021122111212112110010
4100001222213113221030
5121020430341130012
62201532544113220
7142365151243146
oct20015247275114
93807574775403
101101300333132
1139507136657a
12159533305810
137cb102cba6c
143b436073c96
151d9a9c09c3c
hex1006a9d7a4c

1101300333132 has 96 divisors (see below), whose sum is σ = 2752066437120. Its totient is φ = 341772575040.

The previous prime is 1101300333121. The next prime is 1101300333139. The reversal of 1101300333132 is 2313330031011.

It is a junction number, because it is equal to n+sod(n) for n = 1101300333099 and 1101300333108.

It is not an unprimeable number, because it can be changed into a prime (1101300333139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2897413 + ... + 3255395.

It is an arithmetic number, because the mean of its divisors is an integer number (28667358720).

Almost surely, 21101300333132 is an apocalyptic number.

1101300333132 is a gapful number since it is divisible by the number (12) 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 1101300333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376033218560).

1101300333132 is an abundant number, since it is smaller than the sum of its proper divisors (1650766103988).

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

1101300333132 is a wasteful number, since it uses less digits than its factorization.

1101300333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358243 (or 358241 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1101300333132 its reverse (2313330031011), we get a palindrome (3414630364143).

The spelling of 1101300333132 in words is "one trillion, one hundred one billion, three hundred million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 103 114 131 206 228 262 309 393 412 524 618 786 1236 1572 1957 2489 3914 4978 5871 7467 7828 9956 11742 13493 14934 23484 26986 29868 40479 53972 80958 161916 256367 357983 512734 715966 769101 1025468 1073949 1431932 1538202 2147898 3076404 4295796 6801677 13603354 20405031 27206708 36872249 40810062 46895773 73744498 81620124 93791546 110616747 140687319 147488996 187583092 221233494 281374638 442466988 562749276 700572731 891019687 1401145462 1782039374 2101718193 2673059061 2802290924 3564078748 4203436386 4830264619 5346118122 8406872772 9660529238 10692236244 14490793857 19321058476 28981587714 57963175428 91775027761 183550055522 275325083283 367100111044 550650166566 1101300333132