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113343310103211 = 34172931711289567
BaseRepresentation
bin11001110001010111001011…
…101111001000001010101011
3112212022111220011100021210000
4121301113023233020022223
5104324004044341300321
61041021110422154043
732605532612511636
oct3161271357101253
9485274804307700
10113343310103211
113312969a7767a1
1210866839282923
134b322c76c1366
141ddbbb9dd2c1d
15d184bd9e8826
hex6715cbbc82ab

113343310103211 has 160 divisors (see below), whose sum is σ = 194135899668480. Its totient is φ = 65514079411200.

The previous prime is 113343310103203. The next prime is 113343310103213. The reversal of 113343310103211 is 112301013343311.

113343310103211 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 4 + 331 + 0 + 1 + 0 + 321 + 1 = 666.

It is not a de Polignac number, because 113343310103211 - 23 = 113343310103203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113343310103213) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87247750 + ... + 88537316.

It is an arithmetic number, because the mean of its divisors is an integer number (1213349372928).

Almost surely, 2113343310103211 is an apocalyptic number.

113343310103211 is a deficient number, since it is larger than the sum of its proper divisors (80792589565269).

113343310103211 is a wasteful number, since it uses less digits than its factorization.

113343310103211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289727 (or 1289718 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113343310103211 its reverse (112301013343311), we get a palindrome (225644323446522).

The spelling of 113343310103211 in words is "one hundred thirteen trillion, three hundred forty-three billion, three hundred ten million, one hundred three thousand, two hundred eleven".

Divisors: 1 3 9 17 27 29 31 51 71 81 87 93 153 213 261 279 459 493 527 639 783 837 899 1207 1377 1479 1581 1917 2059 2201 2349 2511 2697 3621 4437 4743 5751 6177 6603 8091 10863 13311 14229 15283 18531 19809 24273 32589 35003 37417 39933 42687 45849 55593 59427 63829 72819 97767 105009 112251 137547 166779 178281 191487 315027 336753 412641 574461 945081 1010259 1085093 1237923 1289567 1723383 2835243 3030777 3255279 3868701 5170149 9765837 11606103 21922639 29297511 34818309 37397443 39976577 65767917 87892533 91559257 104454927 112192329 119929731 197303751 274677771 336576987 359789193 591911253 635756531 679601809 824033313 1009730961 1079367579 1159320733 1556507369 1775733759 1907269593 2038805427 2472099939 2655218453 2838336967 3029192883 3238102737 3477962199 4669522107 5721808779 6116416281 7416299817 7965655359 8515010901 10433886597 14008566321 17165426337 18349248843 19708452461 23896966077 25545032703 31301659791 42025698963 45138713701 48251728439 51496279011 55047746529 59125357383 71690898231 76635098109 82311772043 93904979373 126077096889 135416141103 144755185317 177376072149 215072694693 229905294327 246935316129 406248423309 434265555951 532128216447 740805948387 1218745269927 1302796667853 1399300124731 1596384649341 2222417845161 3656235809781 3908390003559 4197900374193 6667253535483 12593701122579 37781103367737 113343310103211