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47122681100 = 225211229187069
BaseRepresentation
bin101011111000101110…
…110000110100001100
311111122001122020010012
4223320232300310030
51233001401243400
633351534332352
73255513115625
oct537056606414
9144561566105
1047122681100
1118a91585850
12917135a0b8
13459c910871
1423d0540a4c
15135be85d35
hexaf8bb0d0c

47122681100 has 72 divisors (see below), whose sum is σ = 112039964400. Its totient is φ = 17060601600.

The previous prime is 47122681093. The next prime is 47122681117. The reversal of 47122681100 is 118622174.

It is a happy number.

47122681100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158366 + ... + 345434.

Almost surely, 247122681100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47122681100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56019982200).

47122681100 is an abundant number, since it is smaller than the sum of its proper divisors (64917283300).

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

47122681100 is a wasteful number, since it uses less digits than its factorization.

47122681100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187323 (or 187316 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 47122681100 in words is "forty-seven billion, one hundred twenty-two million, six hundred eighty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 229 275 458 550 916 1100 1145 2290 2519 4580 5038 5725 10076 11450 12595 22900 25190 50380 62975 125950 187069 251900 374138 748276 935345 1870690 2057759 3741380 4115518 4676725 8231036 9353450 10288795 18706900 20577590 41155180 42838801 51443975 85677602 102887950 171355204 205775900 214194005 428388010 471226811 856776020 942453622 1070970025 1884907244 2141940050 2356134055 4283880100 4712268110 9424536220 11780670275 23561340550 47122681100