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11142300112125 = 3537133110532719
BaseRepresentation
bin1010001000100100010011…
…0101110001010011111101
31110110012020001102100201120
42202021010311301103331
52430023412312042000
635410411344501153
72230001404162020
oct242110465612375
943405201370646
1011142300112125
113606471a30366
1212bb55191a7b9
1362a93969a230
142a740c4611b7
15144c842c06a0
hexa2244d714fd

11142300112125 has 128 divisors (see below), whose sum is σ = 23555543531520. Its totient is φ = 4550134176000.

The previous prime is 11142300112117. The next prime is 11142300112147. The reversal of 11142300112125 is 52121100324111.

It is a happy number.

It is not a de Polignac number, because 11142300112125 - 23 = 11142300112117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11142300112095 and 11142300112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4208485 + ... + 6324234.

It is an arithmetic number, because the mean of its divisors is an integer number (184027683840).

Almost surely, 211142300112125 is an apocalyptic number.

11142300112125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11142300112125 is an abundant number, since it is smaller than the sum of its proper divisors (12413243419395).

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

11142300112125 is a wasteful number, since it uses less digits than its factorization.

11142300112125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532788 (or 10532778 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 11142300112125 its reverse (52121100324111), we get a palindrome (63263400436236).

The spelling of 11142300112125 in words is "eleven trillion, one hundred forty-two billion, three hundred million, one hundred twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 31 35 39 65 75 91 93 105 125 155 175 195 217 273 325 375 403 455 465 525 651 775 875 975 1085 1209 1365 1625 2015 2275 2325 2625 2821 3255 3875 4875 5425 6045 6825 8463 10075 11375 11625 14105 16275 27125 30225 34125 42315 50375 70525 81375 151125 211575 352625 1057875 10532719 31598157 52663595 73729033 136925347 157990785 221187099 263317975 326514289 368645165 410776041 684626735 789953925 958477429 979542867 1105935495 1316589875 1632571445 1843225825 2053880205 2285600023 2875432287 3423133675 3949769625 4244685757 4792387145 4897714335 5529677475 6856800069 8162857225 9216129125 10269401025 11428000115 12734057271 14377161435 17115668375 21223428785 23961935725 24488571675 27648387375 29712800299 34284000345 40814286125 51347005125 57140000575 63670286355 71885807175 89138400897 106117143925 119809678625 122442858375 148564001495 171420001725 285700002875 318351431775 359429035875 445692004485 530585719625 742820007475 857100008625 1591757158875 2228460022425 3714100037375 11142300112125