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2200012101000 = 233253735279901
BaseRepresentation
bin100000000000111010111…
…100001001010110001000
321210022121121220022220200
4200000322330021112020
5242021111044213000
64402401022252200
7314642231211660
oct40007274112610
97708547808820
102200012101000
1177902452770a
122b6463727060
1312c5ca22c4ac
14786a44011a0
153c362542500
hex2003af09588

2200012101000 has 384 divisors, whose sum is σ = 8501600540160. Its totient is φ = 502666560000.

The previous prime is 2200012100987. The next prime is 2200012101017. The reversal of 2200012101000 is 1012100022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222196050 + ... + 222205950.

It is an arithmetic number, because the mean of its divisors is an integer number (22139584740).

Almost surely, 22200012101000 is an apocalyptic number.

2200012101000 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 2200012101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250800270080).

2200012101000 is an abundant number, since it is smaller than the sum of its proper divisors (6301588439160).

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

2200012101000 is a wasteful number, since it uses less digits than its factorization.

2200012101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462 (or 13445 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2200012101000 its reverse (1012100022), we get a palindrome (2201024201022).

The spelling of 2200012101000 in words is "two trillion, two hundred billion, twelve million, one hundred one thousand".