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10010421223000 = 2353113931231503
BaseRepresentation
bin1001000110101011101110…
…0110011101111001011000
31022102222122110121020021121
42101222323212131321120
52303002320313114000
633142420220015024
72052141366312532
oct221527346357130
938388573536247
1010010421223000
11320a43989a110
121158105991474
13577c951a8273
142687151bc852
151255d9ca7b1a
hex91abb99de58

10010421223000 has 128 divisors (see below), whose sum is σ = 25560486282240. Its totient is φ = 3639211440000.

The previous prime is 10010421222979. The next prime is 10010421223003. The reversal of 10010421223000 is 32212401001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010421223003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43125249 + ... + 43356751.

It is an arithmetic number, because the mean of its divisors is an integer number (199691299080).

Almost surely, 210010421223000 is an apocalyptic number.

10010421223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010421223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780243141120).

10010421223000 is an abundant number, since it is smaller than the sum of its proper divisors (15550065059240).

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

10010421223000 is a wasteful number, since it uses less digits than its factorization.

10010421223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235466 (or 235452 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10010421223000 its reverse (32212401001), we get a palindrome (10042633624001).

The spelling of 10010421223000 in words is "ten trillion, ten billion, four hundred twenty-one million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 3931 5500 7862 11000 15724 19655 31448 39310 43241 78620 86482 98275 157240 172964 196550 216205 231503 345928 393100 432410 463006 491375 786200 864820 926012 982750 1081025 1157515 1729640 1852024 1965500 2162050 2315030 2546533 3931000 4324100 4630060 5093066 5405125 5787575 8648200 9260120 10186132 10810250 11575150 12732665 20372264 21620500 23150300 25465330 28937875 43241000 46300600 50930660 57875750 63663325 101861320 115751500 127326650 231503000 254653300 318316625 509306600 636633250 910038293 1273266500 1820076586 2546533000 3640153172 4550191465 7280306344 9100382930 10010421223 18200765860 20020842446 22750957325 36401531720 40041684892 45501914650 50052106115 80083369784 91003829300 100104212230 113754786625 182007658600 200208424460 227509573250 250260530575 400416848920 455019146500 500521061150 910038293000 1001042122300 1251302652875 2002084244600 2502605305750 5005210611500 10010421223000