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3112022003220 = 223251327110913219
BaseRepresentation
bin101101010010010010111…
…101110100111000010100
3102000111200011102122210100
4231102102331310320110
5401441410113100340
610341350531454100
7440556543400464
oct55222275647024
912014604378710
103112022003220
11a9a88a321829
12423169a57330
13197601c09300
14aa8a0861ba4
1555e3e0e8830
hex2d492f74e14

3112022003220 has 432 divisors, whose sum is σ = 10461654403200. Its totient is φ = 748261463040.

The previous prime is 3112022003213. The next prime is 3112022003221. The reversal of 3112022003220 is 223002202113.

3112022003220 is a `hidden beast` number, since 3 + 1 + 120 + 220 + 0 + 322 + 0 = 666.

3112022003220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3112022003193 and 3112022003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112022003221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 235413771 + ... + 235426989.

It is an arithmetic number, because the mean of its divisors is an integer number (24216792600).

Almost surely, 23112022003220 is an apocalyptic number.

3112022003220 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 3112022003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230827201600).

3112022003220 is an abundant number, since it is smaller than the sum of its proper divisors (7349632399980).

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

3112022003220 is a wasteful number, since it uses less digits than its factorization.

3112022003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13440 (or 13422 counting only the distinct ones).

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

Adding to 3112022003220 its reverse (223002202113), we get a palindrome (3335024205333).

The spelling of 3112022003220 in words is "three trillion, one hundred twelve billion, twenty-two million, three thousand, two hundred twenty".