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42200132200 = 23521731219657
BaseRepresentation
bin100111010011010100…
…101110101001101000
311000220222222211111021
4213103110232221220
51142411213212300
631215251142224
73022521130252
oct472324565150
9130828884437
1042200132200
1116995968a16
1282188a4974
133c96b2c135
142084880cd2
15116ec2cd1a
hex9d352ea68

42200132200 has 48 divisors (see below), whose sum is σ = 98682528780. Its totient is φ = 16782466560.

The previous prime is 42200132179. The next prime is 42200132201. The reversal of 42200132200 is 223100224.

42200132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 38003942916 + 4196189284 = 194946^2 + 64778^2 .

It is not an unprimeable number, because it can be changed into a prime (42200132201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575229 + ... + 644428.

Almost surely, 242200132200 is an apocalyptic number.

42200132200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42200132200 is an abundant number, since it is smaller than the sum of its proper divisors (56482396580).

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

42200132200 is a wasteful number, since it uses less digits than its factorization.

42200132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219846 (or 1219837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42200132200 its reverse (223100224), we get a palindrome (42423232424).

The spelling of 42200132200 in words is "forty-two billion, two hundred million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4325 6920 8650 17300 34600 1219657 2439314 4878628 6098285 9757256 12196570 24393140 30491425 48786280 60982850 121965700 211000661 243931400 422001322 844002644 1055003305 1688005288 2110006610 4220013220 5275016525 8440026440 10550033050 21100066100 42200132200