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1012332244014 = 2327133413181081
BaseRepresentation
bin11101011101100111011…
…01000010110000101110
310120210000011201022221100
432232303231002300232
5113041224023302024
62053020425143530
7133065352045140
oct16566355026056
93523004638840
101012332244014
113603671843a3
1214424402aba6
137460220a650
1436dd622cc90
151b4ee2647c9
hexebb3b42c2e

1012332244014 has 96 divisors (see below), whose sum is σ = 2700358524864. Its totient is φ = 266909022720.

The previous prime is 1012332243973. The next prime is 1012332244019. The reversal of 1012332244014 is 4104422332101.

1012332244014 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 33 + 224 + 401 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012332244019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5499954 + ... + 5681034.

It is an arithmetic number, because the mean of its divisors is an integer number (28128734634).

Almost surely, 21012332244014 is an apocalyptic number.

1012332244014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012332244014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350179262432).

1012332244014 is an abundant number, since it is smaller than the sum of its proper divisors (1688026280850).

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

1012332244014 is a wasteful number, since it uses less digits than its factorization.

1012332244014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184522 (or 184519 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1012332244014 its reverse (4104422332101), we get a palindrome (5116754576115).

The spelling of 1012332244014 in words is "one trillion, twelve billion, three hundred thirty-two million, two hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 3413 6826 10239 20478 23891 30717 44369 47782 61434 71673 88738 133107 143346 181081 215019 266214 310583 362162 399321 430038 543243 621166 798642 931749 1086486 1267567 1629729 1863498 2354053 2535134 2795247 3259458 3802701 4708106 5590494 7062159 7605402 11408103 14124318 16478371 21186477 22816206 32956742 42372954 49435113 98870226 148305339 296610678 618029453 1236058906 1854088359 3708176718 4326206171 5562265077 8034382889 8652412342 11124530154 12978618513 16068765778 24103148667 25957237026 38935855539 48206297334 56240680223 72309446001 77871711078 112481360446 144618892002 168722040669 337444081338 506166122007 1012332244014