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13361771700 = 22325253280121
BaseRepresentation
bin11000111000110110…
…00111010010110100
31021111012112022221100
430130123013102310
5204331103143300
610045513050100
7652055120424
oct143433072264
937435468840
1013361771700
11573740a932
12270a9b6930
13134c319cb4
1490a81c484
155330b3700
hex31c6c74b4

13361771700 has 108 divisors (see below), whose sum is σ = 42672104748. Its totient is φ = 3495897600.

The previous prime is 13361771681. The next prime is 13361771701. The reversal of 13361771700 is 717716331.

13361771700 is a `hidden beast` number, since 1 + 33 + 617 + 7 + 1 + 7 + 0 + 0 = 666.

13361771700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 291794724 + 13069976976 = 17082^2 + 114324^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13361771701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92361 + ... + 187760.

It is an arithmetic number, because the mean of its divisors is an integer number (395112081).

Almost surely, 213361771700 is an apocalyptic number.

13361771700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13361771700 is an abundant number, since it is smaller than the sum of its proper divisors (29310333048).

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

13361771700 is a wasteful number, since it uses less digits than its factorization.

13361771700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280194 (or 280184 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The spelling of 13361771700 in words is "thirteen billion, three hundred sixty-one million, seven hundred seventy-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 150 159 180 212 225 265 300 318 450 477 530 636 795 900 954 1060 1325 1590 1908 2385 2650 3180 3975 4770 5300 7950 9540 11925 15900 23850 47700 280121 560242 840363 1120484 1400605 1680726 2521089 2801210 3361452 4201815 5042178 5602420 7003025 8403630 10084356 12605445 14006050 14846413 16807260 21009075 25210890 28012100 29692826 42018150 44539239 50421780 59385652 63027225 74232065 84036300 89078478 126054450 133617717 148464130 178156956 222696195 252108900 267235434 296928260 371160325 445392390 534470868 668088585 742320650 890784780 1113480975 1336177170 1484641300 2226961950 2672354340 3340442925 4453923900 6680885850 13361771700