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42822282100 = 22521332940217
BaseRepresentation
bin100111111000011010…
…000010101101110100
311002112100200022201011
4213320122002231310
51200200001011400
631401114042004
73044114251333
oct477032025564
9132470608634
1042822282100
1117185075394
128371119304
1340659b1880
142103351d1a
1511a96738ba
hex9f8682b74

42822282100 has 36 divisors (see below), whose sum is σ = 100072382284. Its totient is φ = 15811303680.

The previous prime is 42822282079. The next prime is 42822282131. The reversal of 42822282100 is 128222824.

42822282100 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 84162276 + 42738119824 = 9174^2 + 206732^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16468809 + ... + 16471408.

Almost surely, 242822282100 is an apocalyptic number.

It is an amenable number.

42822282100 is an abundant number, since it is smaller than the sum of its proper divisors (57250100184).

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

42822282100 is a wasteful number, since it uses less digits than its factorization.

42822282100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32940244 (or 32940237 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The spelling of 42822282100 in words is "forty-two billion, eight hundred twenty-two million, two hundred eighty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 32940217 65880434 131760868 164701085 329402170 428222821 658804340 823505425 856445642 1647010850 1712891284 2141114105 3294021700 4282228210 8564456420 10705570525 21411141050 42822282100