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1012022211000 = 233532511343987
BaseRepresentation
bin11101011101000010011…
…10010111000110111000
310120202012120100000121010
432232201032113012320
5113040110141223000
62052525552113520
7133054565600613
oct16564116270670
93522176300533
101012022211000
11360218177a69
121441782358a0
1374582c08c68
1436da6da717a
151b4d1e22d50
hexeba13971b8

1012022211000 has 128 divisors (see below), whose sum is σ = 3170091375360. Its totient is φ = 268797200000.

The previous prime is 1012022210993. The next prime is 1012022211061. The reversal of 1012022211000 is 1122202101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81007 + ... + 1424993.

It is an arithmetic number, because the mean of its divisors is an integer number (24766338870).

Almost surely, 21012022211000 is an apocalyptic number.

1012022211000 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 1012022211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585045687680).

1012022211000 is an abundant number, since it is smaller than the sum of its proper divisors (2158069164360).

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

1012022211000 is a wasteful number, since it uses less digits than its factorization.

1012022211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344262 (or 1344248 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012022211000 its reverse (1122202101), we get a palindrome (1013144413101).

The spelling of 1012022211000 in words is "one trillion, twelve billion, twenty-two million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 251 300 375 500 502 600 750 753 1000 1004 1255 1500 1506 2008 2510 3000 3012 3765 5020 6024 6275 7530 10040 12550 15060 18825 25100 30120 31375 37650 50200 62750 75300 94125 125500 150600 188250 251000 376500 753000 1343987 2687974 4031961 5375948 6719935 8063922 10751896 13439870 16127844 20159805 26879740 32255688 33599675 40319610 53759480 67199350 80639220 100799025 134398700 161278440 167998375 201598050 268797400 335996750 337340737 403196100 503995125 671993500 674681474 806392200 1007990250 1012022211 1343987000 1349362948 1686703685 2015980500 2024044422 2698725896 3373407370 4031961000 4048088844 5060111055 6746814740 8096177688 8433518425 10120222110 13493629480 16867036850 20240444220 25300555275 33734073700 40480888440 42167592125 50601110550 67468147400 84335184250 101202221100 126502776375 168670368500 202404442200 253005552750 337340737000 506011105500 1012022211000