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10120222022220 = 22345232910390931
BaseRepresentation
bin1001001101000100110000…
…1111010001101001001100
31022211111001200011202120000
42103101030033101221030
52311302203314202340
633305055452124300
72063106351564642
oct223211417215114
938744050152500
1010120222022220
113251a64552782
121175449a66690
1358544333a88b
1426db6db4b192
151283b4652d30
hex9344c3d1a4c

10120222022220 has 480 divisors, whose sum is σ = 34603277829120. Its totient is φ = 2468151544320.

The previous prime is 10120222022219. The next prime is 10120222022227. The reversal of 10120222022220 is 2222022202101.

10120222022220 is a `hidden beast` number, since 1 + 0 + 1 + 202 + 220 + 22 + 220 = 666.

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 = 10120222022193 and 10120222022202.

It is not an unprimeable number, because it can be changed into a prime (10120222022227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 111250155 + ... + 111341085.

It is an arithmetic number, because the mean of its divisors is an integer number (72090162144).

Almost surely, 210120222022220 is an apocalyptic number.

10120222022220 is a gapful number since it is divisible by the number (10) 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 10120222022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301638914560).

10120222022220 is an abundant number, since it is smaller than the sum of its proper divisors (24483055806900).

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

10120222022220 is a wasteful number, since it uses less digits than its factorization.

10120222022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91107 (or 91096 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10120222022220 its reverse (2222022202101), we get a palindrome (12342244224321).

The spelling of 10120222022220 in words is "ten trillion, one hundred twenty billion, two hundred twenty-two million, twenty-two thousand, two hundred twenty".