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1012002220000 = 255459857629
BaseRepresentation
bin11101011101000000000…
…10000110011111100000
310120202011011201101002201
432232200002012133200
5113040040032020000
62052523555422544
7133054233640042
oct16564002063740
93522134641081
101012002220000
11360207963482
121441715b4a54
137457ba29975
1436da4481a92
151b4d02c496a
hexeba00867e0

1012002220000 has 120 divisors (see below), whose sum is σ = 2531878133400. Its totient is φ = 397939392000.

The previous prime is 1012002219997. The next prime is 1012002220039. The reversal of 1012002220000 is 222002101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 751186 + ... + 1608814.

It is an arithmetic number, because the mean of its divisors is an integer number (21098984445).

Almost surely, 21012002220000 is an apocalyptic number.

1012002220000 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 1012002220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265939066700).

1012002220000 is an abundant number, since it is smaller than the sum of its proper divisors (1519875913400).

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

1012002220000 is an frugal number, since it uses more digits than its factorization.

1012002220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857718 (or 857695 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1012002220000 its reverse (222002101), we get a palindrome (1012224222101).

The spelling of 1012002220000 in words is "one trillion, twelve billion, two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 125 160 200 236 250 295 400 472 500 590 625 800 944 1000 1180 1250 1475 1888 2000 2360 2500 2950 4000 4720 5000 5900 7375 9440 10000 11800 14750 20000 23600 29500 36875 47200 59000 73750 118000 147500 236000 295000 590000 857629 1180000 1715258 3430516 4288145 6861032 8576290 13722064 17152580 21440725 27444128 34305160 42881450 50600111 68610320 85762900 101200222 107203625 137220640 171525800 202400444 214407250 253000555 343051600 404800888 428814500 506001110 536018125 686103200 809601776 857629000 1012002220 1072036250 1265002775 1619203552 1715258000 2024004440 2144072500 2530005550 3430516000 4048008880 4288145000 5060011100 6325013875 8096017760 8576290000 10120022200 12650027750 17152580000 20240044400 25300055500 31625069375 40480088800 50600111000 63250138750 101200222000 126500277500 202400444000 253000555000 506001110000 1012002220000