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12016135103250 = 235353337897011
BaseRepresentation
bin1010111011011011100101…
…1101101110001100010010
31120112201202010010021102010
42232312321131232030102
53033333021041301000
641320045233203350
72350065013066605
oct256667135561422
946481663107363
1012016135103250
113913018007783
121420983400556
1369216945a365
142d782687c33c
1515c879701d50
hexaedb976e312

12016135103250 has 128 divisors (see below), whose sum is σ = 30648876380928. Its totient is φ = 3134511744000.

The previous prime is 12016135103227. The next prime is 12016135103257. The reversal of 12016135103250 is 5230153161021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12016135103257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12947245 + ... + 13844255.

It is an arithmetic number, because the mean of its divisors is an integer number (239444346726).

Almost surely, 212016135103250 is an apocalyptic number.

12016135103250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12016135103250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15324438190464).

12016135103250 is an abundant number, since it is smaller than the sum of its proper divisors (18632741277678).

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

12016135103250 is a wasteful number, since it uses less digits than its factorization.

12016135103250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897421 (or 897411 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 12016135103250 its reverse (5230153161021), we get a palindrome (17246288264271).

The spelling of 12016135103250 in words is "twelve trillion, sixteen billion, one hundred thirty-five million, one hundred three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 125 150 159 250 265 318 337 375 530 674 750 795 1011 1325 1590 1685 2022 2650 3370 3975 5055 6625 7950 8425 10110 13250 16850 17861 19875 25275 35722 39750 42125 50550 53583 84250 89305 107166 126375 178610 252750 267915 446525 535830 893050 897011 1339575 1794022 2232625 2679150 2691033 4465250 4485055 5382066 6697875 8970110 13395750 13455165 22425275 26910330 44850550 47541583 67275825 95083166 112126375 134551650 142624749 224252750 237707915 285249498 302292707 336379125 475415830 604585414 672758250 713123745 906878121 1188539575 1426247490 1511463535 1813756242 2377079150 3022927070 3565618725 4534390605 5942697875 7131237450 7557317675 9068781210 11885395750 15114635350 16021513471 17828093625 22671953025 32043026942 35656187250 37786588375 45343906050 48064540413 75573176750 80107567355 96129080826 113359765125 160215134710 226719530250 240322702065 400537836775 480645404130 801075673550 1201613510325 2002689183875 2403227020650 4005378367750 6008067551625 12016135103250