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110302003232442 = 232727116310806097
BaseRepresentation
bin11001000101000110101111…
…101110000111111010111010
3112110112202202020220120011100
4121011012233232013322322
5103424142000311414232
61030332012445112230
732143025315606100
oct3105065756077272
9473482666816140
10110302003232442
11321668a929169a
1210455325858676
1349715851397b8
141d3490713dc70
15cb431cbc1c7c
hex6451afb87eba

110302003232442 has 144 divisors (see below), whose sum is σ = 283651254724032. Its totient is φ = 30880364417280.

The previous prime is 110302003232431. The next prime is 110302003232467. The reversal of 110302003232442 is 244232300203011.

110302003232442 is a `hidden beast` number, since 1 + 1 + 0 + 302 + 0 + 0 + 32 + 324 + 4 + 2 = 666.

110302003232442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4804338 + ... + 15610434.

It is an arithmetic number, because the mean of its divisors is an integer number (1969800380028).

Almost surely, 2110302003232442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110302003232442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141825627362016).

110302003232442 is an abundant number, since it is smaller than the sum of its proper divisors (173349251491590).

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

110302003232442 is a wasteful number, since it uses less digits than its factorization.

110302003232442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806353 (or 10806343 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 110302003232442 its reverse (244232300203011), we get a palindrome (354534303435453).

The spelling of 110302003232442 in words is "one hundred ten trillion, three hundred two billion, three million, two hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 163 213 294 326 426 441 489 497 639 882 978 994 1141 1278 1467 1491 2282 2934 2982 3423 3479 4473 6846 6958 7987 8946 10269 10437 11573 15974 20538 20874 23146 23961 31311 34719 47922 62622 69438 71883 81011 104157 143766 162022 208314 243033 486066 567077 729099 1134154 1458198 1701231 3402462 5103693 10207386 10806097 21612194 32418291 64836582 75642679 97254873 151285358 194509746 226928037 453856074 529498753 680784111 767232887 1058997506 1361568222 1534465774 1588496259 1761393811 2301698661 3176992518 3522787622 4603397322 4765488777 5284181433 5370630209 6905095983 9530977554 10568362866 10741260418 12329756677 13810191966 15852544299 16111890627 24659513354 31705088598 32223781254 36989270031 37594411463 48335671881 73978540062 75188822926 86308296739 96671343762 110967810093 112783234389 125058960581 172616593478 221935620186 225566468778 250117921162 258924890217 338349703167 375176881743 517849780434 676699406334 750353763486 776774670651 875412724067 1125530645229 1553549341302 1750825448134 2251061290458 2626238172201 5252476344402 6127889068469 7878714516603 12255778136938 15757429033206 18383667205407 36767334410814 55151001616221 110302003232442