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33422101020 = 2232571110922123
BaseRepresentation
bin11111001000000111…
…001100101000011100
310012021020120122110100
4133020013030220130
51021422024213040
623204235341100
72262142112520
oct371007145034
9105236518410
1033422101020
11131a09a51a0
126588bb1790
1331c8358749
141890b29d80
15d09299b30
hex7c81cca1c

33422101020 has 288 divisors, whose sum is σ = 127561674240. Its totient is φ = 6880826880.

The previous prime is 33422100979. The next prime is 33422101033. The reversal of 33422101020 is 2010122433.

It is a super-2 number, since 2×334221010202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33422100984 and 33422101002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1499679 + ... + 1521801.

It is an arithmetic number, because the mean of its divisors is an integer number (442922480).

Almost surely, 233422101020 is an apocalyptic number.

33422101020 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 33422101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63780837120).

33422101020 is an abundant number, since it is smaller than the sum of its proper divisors (94139573220).

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

33422101020 is a wasteful number, since it uses less digits than its factorization.

33422101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22265 (or 22260 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33422101020 its reverse (2010122433), we get a palindrome (35432223453).

The spelling of 33422101020 in words is "thirty-three billion, four hundred twenty-two million, one hundred one thousand, twenty".