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1010221110000 = 24325411224679
BaseRepresentation
bin11101011001101011101…
…11101101001011110000
310120120120001020121111200
432230311313231023300
5113022413101010000
62052031132211200
7132662135516364
oct16546567551360
93516501217450
101010221110000
1135a483531143
12143955009b00
1374356a21a1b
1436c75ac52a4
151b428c4d500
hexeb35ded2f0

1010221110000 has 150 divisors (see below), whose sum is σ = 3532889457240. Its totient is φ = 269392272000.

The previous prime is 1010221109959. The next prime is 1010221110001. The reversal of 1010221110000 is 111220101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010221110001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5522340 + ... + 5702339.

Almost surely, 21010221110000 is an apocalyptic number.

1010221110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010221110000 is an abundant number, since it is smaller than the sum of its proper divisors (2522668347240).

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

1010221110000 is a wasteful number, since it uses less digits than its factorization.

1010221110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224713 (or 11224689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010221110000 its reverse (111220101), we get a palindrome (1010332330101).

The spelling of 1010221110000 in words is "one trillion, ten billion, two hundred twenty-one million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 11224679 22449358 33674037 44898716 56123395 67348074 89797432 101022111 112246790 134696148 168370185 179594864 202044222 224493580 269392296 280616975 336740370 404088444 448987160 505110555 538784592 561233950 673480740 808176888 841850925 897974320 1010221110 1122467900 1346961480 1403084875 1616353776 1683701850 2020442220 2244935800 2525552775 2693922960 2806169750 3367403700 4040884440 4209254625 4489871600 5051105550 5612339500 6734807400 7015424375 8081768880 8418509250 10102211100 11224679000 12627763875 13469614800 14030848750 16837018500 20204422200 21046273125 22449358000 25255527750 28061697500 33674037000 40408844400 42092546250 50511055500 56123395000 63138819375 67348074000 84185092500 101022111000 112246790000 126277638750 168370185000 202044222000 252555277500 336740370000 505110555000 1010221110000