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1022220020000 = 2554137373073
BaseRepresentation
bin11101110000000010000…
…11111010100100100000
310121201112021022101122202
432320001003322210200
5113222001311120000
62101333522352332
7133565364543314
oct16700103724440
93551467271582
101022220020000
11364580608893
121461434bb6a8
137551989437a
14376934dbb44
151b8cc355dd5
hexee010fa920

1022220020000 has 120 divisors (see below), whose sum is σ = 2533177683036. Its totient is φ = 405902336000.

The previous prime is 1022220019981. The next prime is 1022220020023. The reversal of 1022220020000 is 200222201.

It can be written as a sum of positive squares in 10 ways, for example, as 1740224656 + 1020479795344 = 41716^2 + 1010188^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2553464 + ... + 2926536.

Almost surely, 21022220020000 is an apocalyptic number.

1022220020000 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 1022220020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266588841518).

1022220020000 is an abundant number, since it is smaller than the sum of its proper divisors (1510957663036).

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

1022220020000 is an equidigital number, since it uses as much as digits as its factorization.

1022220020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373240 (or 373217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1022220020000 its reverse (200222201), we get a palindrome (1022420242201).

The spelling of 1022220020000 in words is "one trillion, twenty-two billion, two hundred twenty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 137 160 200 250 274 400 500 548 625 685 800 1000 1096 1250 1370 2000 2192 2500 2740 3425 4000 4384 5000 5480 6850 10000 10960 13700 17125 20000 21920 27400 34250 54800 68500 85625 109600 137000 171250 274000 342500 373073 548000 685000 746146 1370000 1492292 1865365 2740000 2984584 3730730 5969168 7461460 9326825 11938336 14922920 18653650 29845840 37307300 46634125 51111001 59691680 74614600 93268250 102222002 149229200 186536500 204444004 233170625 255555005 298458400 373073000 408888008 466341250 511110010 746146000 817776016 932682500 1022220020 1277775025 1492292000 1635552032 1865365000 2044440040 2555550050 3730730000 4088880080 5111100100 6388875125 7461460000 8177760160 10222200200 12777750250 20444400400 25555500500 31944375625 40888800800 51111001000 63888751250 102222002000 127777502500 204444004000 255555005000 511110010000 1022220020000