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221030023210000 = 2454145915149419
BaseRepresentation
bin110010010000011010010000…
…000001001010010000010000
31001222121021010100111002012221
4302100122100001022100100
5212432323441420210000
62102031442455430424
764361615011223104
oct6220322001122020
91058537110432187
10221030023210000
1164477340952324
1220959123685414
13964407096ba64
143c81ca5855904
151a8477134c61a
hexc9069004a410

221030023210000 has 100 divisors (see below), whose sum is σ = 535502607125200. Its totient is φ = 88351405776000.

The previous prime is 221030023209881. The next prime is 221030023210037. The reversal of 221030023210000 is 12320030122.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7015291 + ... + 22164709.

It is an arithmetic number, because the mean of its divisors is an integer number (5355026071252).

Almost surely, 2221030023210000 is an apocalyptic number.

221030023210000 is a gapful number since it is divisible by the number (20) 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 221030023210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267751303562600).

221030023210000 is an abundant number, since it is smaller than the sum of its proper divisors (314472583915200).

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

221030023210000 is a wasteful number, since it uses less digits than its factorization.

221030023210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15150906 (or 15150885 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 221030023210000 its reverse (12320030122), we get a palindrome (221042343240122).

The spelling of 221030023210000 in words is "two hundred twenty-one trillion, thirty billion, twenty-three million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1459 2000 2500 2918 5000 5836 7295 10000 11672 14590 23344 29180 36475 58360 72950 116720 145900 182375 291800 364750 583600 729500 911875 1459000 1823750 2918000 3647500 7295000 14590000 15149419 30298838 60597676 75747095 121195352 151494190 242390704 302988380 378735475 605976760 757470950 1211953520 1514941900 1893677375 3029883800 3787354750 6059767600 7574709500 9468386875 15149419000 18936773750 22103002321 30298838000 37873547500 44206004642 75747095000 88412009284 110515011605 151494190000 176824018568 221030023210 353648037136 442060046420 552575058025 884120092840 1105150116050 1768240185680 2210300232100 2762875290125 4420600464200 5525750580250 8841200928400 11051501160500 13814376450625 22103002321000 27628752901250 44206004642000 55257505802500 110515011605000 221030023210000