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381822212112 = 243112233192203
BaseRepresentation
bin1011000111001100110…
…00001001100000010000
31100111112211212001211120
411203212120021200100
522223432441241422
6451223503042240
736404624152605
oct5434630114020
91314484761746
10381822212112
11137a25759300
1261bbb5a0380
132a00c62ca33
14146a1cd66ac
159deab2245c
hex58e6609810

381822212112 has 240 divisors, whose sum is σ = 1167842586624. Its totient is φ = 107101843200.

The previous prime is 381822212111. The next prime is 381822212173. The reversal of 381822212112 is 211212228183.

It is a super-2 number, since 2×3818222121122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (381822212111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4095003 + ... + 4187205.

Almost surely, 2381822212112 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 381822212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583921293312).

381822212112 is an abundant number, since it is smaller than the sum of its proper divisors (786020374512).

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

381822212112 is a wasteful number, since it uses less digits than its factorization.

381822212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92290 (or 92273 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The spelling of 381822212112 in words is "three hundred eighty-one billion, eight hundred twenty-two million, two hundred twelve thousand, one hundred twelve".