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2011220002000 = 24531194197151
BaseRepresentation
bin11101010001000110000…
…011011100010011010000
321010021022101021000012201
4131101012003130103100
5230422434310031000
64135535224332544
7265206622643116
oct35210603342320
97107271230181
102011220002000
11705a54293410
12285955614154
13117870c2a301
146d4b4a6bab6
15374b302796a
hex1d4460dc4d0

2011220002000 has 160 divisors (see below), whose sum is σ = 5310925221888. Its totient is φ = 730568000000.

The previous prime is 2011220001979. The next prime is 2011220002009. The reversal of 2011220002000 is 2000221102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011220002009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20653425 + ... + 20750575.

Almost surely, 22011220002000 is an apocalyptic number.

2011220002000 is a gapful number since it is divisible by the number (20) 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 2011220002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655462610944).

2011220002000 is an abundant number, since it is smaller than the sum of its proper divisors (3299705219888).

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

2011220002000 is a wasteful number, since it uses less digits than its factorization.

2011220002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98126 (or 98110 counting only the distinct ones).

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

Adding to 2011220002000 its reverse (2000221102), we get a palindrome (2013220223102).

The spelling of 2011220002000 in words is "two trillion, eleven billion, two hundred twenty million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 941 1000 1100 1375 1882 2000 2200 2750 3764 4400 4705 5500 7528 9410 10351 11000 15056 18820 20702 22000 23525 37640 41404 47050 51755 75280 82808 94100 97151 103510 117625 165616 188200 194302 207020 235250 258775 376400 388604 414040 470500 485755 517550 777208 828080 941000 971510 1035100 1068661 1293875 1554416 1882000 1943020 2070200 2137322 2428775 2587750 3886040 4140400 4274644 4857550 5175500 5343305 7772080 8549288 9715100 10351000 10686610 12143875 17098576 19430200 20702000 21373220 24287750 26716525 38860400 42746440 48575500 53433050 85492880 91419091 97151000 106866100 133582625 182838182 194302000 213732200 267165250 365676364 427464400 457095455 534330500 731352728 914190910 1005610001 1068661000 1462705456 1828381820 2011220002 2137322000 2285477275 3656763640 4022440004 4570954550 5028050005 7313527280 8044880008 9141909100 10056100010 11427386375 16089760016 18283818200 20112200020 22854772750 25140250025 36567636400 40224400040 45709545500 50280500050 80448800080 91419091000 100561000100 125701250125 182838182000 201122000200 251402500250 402244000400 502805000500 1005610001000 2011220002000