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1000202222000 = 2453701713411
BaseRepresentation
bin11101000111000001011…
…00101011100110110000
310112121200210221100220202
432203200230223212300
5112341403232101000
62043253032454332
7132155641416362
oct16434054534660
93477623840822
101000202222000
11356202096313
12141a1984a3a8
137341b150327
14365a5246d32
151b03e3addd5
hexe8e0b2b9b0

1000202222000 has 80 divisors (see below), whose sum is σ = 2421942423264. Its totient is φ = 399509600000.

The previous prime is 1000202221979. The next prime is 1000202222039. The reversal of 1000202222000 is 2222020001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045295 + ... + 1758705.

Almost surely, 21000202222000 is an apocalyptic number.

1000202222000 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 1000202222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210971211632).

1000202222000 is an abundant number, since it is smaller than the sum of its proper divisors (1421740201264).

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

1000202222000 is an equidigital number, since it uses as much as digits as its factorization.

1000202222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714135 (or 714119 counting only the distinct ones).

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

Adding to 1000202222000 its reverse (2222020001), we get a palindrome (1002424242001).

The spelling of 1000202222000 in words is "one trillion, two hundred two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 701 1000 1402 2000 2804 3505 5608 7010 11216 14020 17525 28040 35050 56080 70100 87625 140200 175250 280400 350500 701000 713411 1402000 1426822 2853644 3567055 5707288 7134110 11414576 14268220 17835275 28536440 35670550 57072880 71341100 89176375 142682200 178352750 285364400 356705500 500101111 713411000 1000202222 1426822000 2000404444 2500505555 4000808888 5001011110 8001617776 10002022220 12502527775 20004044440 25005055550 40008088880 50010111100 62512638875 100020222200 125025277750 200040444400 250050555500 500101111000 1000202222000