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33220101120 = 210354874441
BaseRepresentation
bin11110111100000100…
…101000010000000000
310011202011110222200120
4132330010220100000
51021013321213440
623132222020240
72254140125523
oct367404502000
9104664428616
1033220101120
11130a7976728
126531417680
13319555108b
141871d86bba
15ce6697dd0
hex7bc128400

33220101120 has 176 divisors, whose sum is σ = 106494569088. Its totient is φ = 8838512640.

The previous prime is 33220101097. The next prime is 33220101137. The reversal of 33220101120 is 2110102233.

It is a super-2 number, since 2×332201011202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33220101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7478100 + ... + 7482540.

Almost surely, 233220101120 is an apocalyptic number.

33220101120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33220101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53247284544).

33220101120 is an abundant number, since it is smaller than the sum of its proper divisors (73274467968).

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

33220101120 is a wasteful number, since it uses less digits than its factorization.

33220101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33220101120 its reverse (2110102233), we get a palindrome (35330203353).

The spelling of 33220101120 in words is "thirty-three billion, two hundred twenty million, one hundred one thousand, one hundred twenty".