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2200201021000 = 23532200201021
BaseRepresentation
bin100000000001000110001…
…100110100011001001000
321210100002210101110102201
4200001012030310121020
5242022002430133000
64402431451405544
7314650014051103
oct40010614643110
97710083343381
102200201021000
11779111132044
122b64b6a538b4
1312c62a407488
14786c153b73a
153c373e0d96a
hex20046334648

2200201021000 has 32 divisors (see below), whose sum is σ = 5148470391480. Its totient is φ = 880080408000.

The previous prime is 2200201020977. The next prime is 2200201021001. The reversal of 2200201021000 is 1201020022.

It can be written as a sum of positive squares in 4 ways, for example, as 498235516164 + 1701965504836 = 705858^2 + 1304594^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2200201021001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1100099511 + ... + 1100101510.

Almost surely, 22200201021000 is an apocalyptic number.

2200201021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200201021000 is an abundant number, since it is smaller than the sum of its proper divisors (2948269370480).

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

2200201021000 is a wasteful number, since it uses less digits than its factorization.

2200201021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200201042 (or 2200201028 counting only the distinct ones).

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

Adding to 2200201021000 its reverse (1201020022), we get a palindrome (2201402041022).

The spelling of 2200201021000 in words is "two trillion, two hundred billion, two hundred one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2200201021 4400402042 8800804084 11001005105 17601608168 22002010210 44004020420 55005025525 88008040840 110010051050 220020102100 275025127625 440040204200 550050255250 1100100510500 2200201021000