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10022220304000 = 27531016201869
BaseRepresentation
bin1001000111010111101011…
…1000011000111010000000
31022111010002202122122120121
42101311322320120322000
52303201001344212000
633152051111150024
72053036650663562
oct221657270307200
938433082578517
1010022220304000
1132144440a0323
12115a459375314
135791258233b8
14269114259332
15125a7aa8bb1a
hex91d7ae18e80

10022220304000 has 128 divisors (see below), whose sum is σ = 25164459637200. Its totient is φ = 3969195520000.

The previous prime is 10022220303961. The next prime is 10022220304027. The reversal of 10022220304000 is 40302222001.

It can be written as a sum of positive squares in 8 ways, for example, as 2977612531776 + 7044607772224 = 1725576^2 + 2654168^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1484935 + ... + 4716934.

Almost surely, 210022220304000 is an apocalyptic number.

10022220304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022220304000 is an abundant number, since it is smaller than the sum of its proper divisors (15142239333200).

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

10022220304000 is an equidigital number, since it uses as much as digits as its factorization.

10022220304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6201999 (or 6201977 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10022220304000 its reverse (40302222001), we get a palindrome (10062522526001).

The spelling of 10022220304000 in words is "ten trillion, twenty-two billion, two hundred twenty million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 320 400 404 500 505 640 800 808 1000 1010 1600 1616 2000 2020 2525 3200 3232 4000 4040 5050 6464 8000 8080 10100 12625 12928 16000 16160 20200 25250 32320 40400 50500 64640 80800 101000 161600 202000 323200 404000 808000 1616000 6201869 12403738 24807476 31009345 49614952 62018690 99229904 124037380 155046725 198459808 248074760 310093450 396919616 496149520 620186900 626388769 775233625 793839232 992299040 1240373800 1252777538 1550467250 1984598080 2480747600 2505555076 3100934500 3131943845 3969196160 4961495200 5011110152 6201869000 6263887690 9922990400 10022220304 12403738000 12527775380 15659719225 19845980800 20044440608 24807476000 25055550760 31319438450 40088881216 49614952000 50111101520 62638876900 78298596125 80177762432 99229904000 100222203040 125277753800 156597192250 200444406080 250555507600 313194384500 400888812160 501111015200 626388769000 1002222030400 1252777538000 2004444060800 2505555076000 5011110152000 10022220304000