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1001110220000 = 2554114550501
BaseRepresentation
bin11101001000101101101…
…00011010110011100000
310112201001002111110000022
432210112310122303200
5112400233204020000
62043523110213012
7132220305316022
oct16442664326340
93481032443008
101001110220000
11356628690690
12142031954168
13735342b7257
143664da86012
151b093e6a585
hexe916d1ace0

1001110220000 has 120 divisors (see below), whose sum is σ = 2686780198872. Its totient is φ = 364040000000.

The previous prime is 1001110219957. The next prime is 1001110220003. The reversal of 1001110220000 is 220111001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1001110220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110220003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2055251 + ... + 2495250.

Almost surely, 21001110220000 is an apocalyptic number.

1001110220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001110220000 is an abundant number, since it is smaller than the sum of its proper divisors (1685669978872).

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

1001110220000 is an equidigital number, since it uses as much as digits as its factorization.

1001110220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550542 (or 4550519 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001110220000 its reverse (220111001), we get a palindrome (1001330331001).

The spelling of 1001110220000 in words is "one trillion, one billion, one hundred ten million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 110000 220000 4550501 9101002 18202004 22752505 36404008 45505010 50055511 72808016 91010020 100111022 113762525 145616032 182020040 200222044 227525050 250277555 364040080 400444088 455050100 500555110 568812625 728080160 800888176 910100200 1001110220 1137625250 1251387775 1601776352 1820200400 2002220440 2275250500 2502775550 2844063125 3640400800 4004440880 4550501000 5005551100 5688126250 6256938875 8008881760 9101002000 10011102200 11376252500 12513877750 18202004000 20022204400 22752505000 25027755500 31284694375 40044408800 45505010000 50055511000 62569388750 91010020000 100111022000 125138777500 200222044000 250277555000 500555110000 1001110220000