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200100122100 = 223252222333469
BaseRepresentation
bin1011101001011011100…
…1011000110111110100
3201010111022200102012100
42322112321120313310
511234301112401400
6231531424022100
720312444655114
oct2722671306764
9633438612170
10200100122100
117795333643a
1232945161930
1315b3bca6418
149983505044
155312150100
hex2e96e58df4

200100122100 has 54 divisors (see below), whose sum is σ = 627202718870. Its totient is φ = 53360032320.

The previous prime is 200100122069. The next prime is 200100122113. The reversal of 200100122100 is 1221001002.

It can be written as a sum of positive squares in 3 ways, for example, as 360848016 + 199739274084 = 18996^2 + 446922^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111165835 + ... + 111167634.

Almost surely, 2200100122100 is an apocalyptic number.

200100122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100122100 is an abundant number, since it is smaller than the sum of its proper divisors (427102596770).

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

200100122100 is a wasteful number, since it uses less digits than its factorization.

200100122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222333489 (or 222333479 counting only the distinct ones).

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

Adding to 200100122100 its reverse (1221001002), we get a palindrome (201321123102).

The spelling of 200100122100 in words is "two hundred billion, one hundred million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 222333469 444666938 667000407 889333876 1111667345 1334000814 2001001221 2223334690 2668001628 3335002035 4002002442 4446669380 5558336725 6670004070 8004004884 10005006105 11116673450 13340008140 16675010175 20010012210 22233346900 33350020350 40020024420 50025030525 66700040700 100050061050 200100122100