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10303112011140 = 223251317259002313
BaseRepresentation
bin1001010111101110000101…
…0101001101110110000100
31100110222010120221211022100
42111323201111031312010
52322301233133324030
633525103451232100
72112242502051504
oct225734125156604
940428116854270
1010303112011140
113312586146353
1211a498b448630
1359976b929230
1427895d6b3a04
1512d01a91e360
hex95ee154dd84

10303112011140 has 144 divisors (see below), whose sum is σ = 35636646387888. Its totient is φ = 2386965307392.

The previous prime is 10303112011121. The next prime is 10303112011141. The reversal of 10303112011140 is 4111021130301.

It is a happy number.

10303112011140 is a `hidden beast` number, since 10 + 3 + 0 + 311 + 201 + 1 + 140 = 666.

10303112011140 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 8 ways, for example, as 211612880196 + 10091499130944 = 460014^2 + 3176712^2 .

It is a super-2 number, since 2×103031120111402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10303112011141) 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, 129461377 + ... + 129540936.

It is an arithmetic number, because the mean of its divisors is an integer number (247476711027).

Almost surely, 210303112011140 is an apocalyptic number.

10303112011140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303112011140 is an abundant number, since it is smaller than the sum of its proper divisors (25333534376748).

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

10303112011140 is a wasteful number, since it uses less digits than its factorization.

10303112011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259002358 (or 259002353 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10303112011140 its reverse (4111021130301), we get a palindrome (14414133141441).

The spelling of 10303112011140 in words is "ten trillion, three hundred three billion, one hundred twelve million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 259002313 518004626 777006939 1036009252 1295011565 1554013878 2331020817 2590023130 3108027756 3367030069 3885034695 4403039321 4662041634 5180046260 6734060138 7770069390 8806078642 9324083268 10101090207 11655104085 13209117963 13468120276 15540138780 16835150345 17612157284 20202180414 22015196605 23310208170 26418235926 30303270621 33670300690 39627353889 40404360828 44030393210 46620416340 50505451035 52836471852 57239511173 60606541242 66045589815 67340601380 79254707778 88060786420 101010902070 114479022346 121213082484 132091179630 151516353105 158509415556 171718533519 198136769445 202021804140 228958044692 264182359260 286197555865 303032706210 343437067038 396273538890 515155600557 572395111730 606065412420 686874134076 792547077780 858592667595 1030311201114 1144790223460 1717185335190 2060622402228 2575778002785 3434370670380 5151556005570 10303112011140