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10220220000 = 25325456779
BaseRepresentation
bin10011000010010110…
…00010111001100000
3222101021010222011200
421201023002321200
5131412334020000
64410050441200
7511160302524
oct114113027140
928337128150
1010220220000
114375058611
121b92893200
13c6b504073
146cd4c9d84
153ec3ad500
hex2612c2e60

10220220000 has 180 divisors, whose sum is σ = 36318702420. Its totient is φ = 2725344000.

The previous prime is 10220219981. The next prime is 10220220047. The reversal of 10220220000 is 2202201.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 151611 + ... + 208389.

It is an arithmetic number, because the mean of its divisors is an integer number (201770569).

Almost surely, 210220220000 is an apocalyptic number.

10220220000 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 10220220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159351210).

10220220000 is an abundant number, since it is smaller than the sum of its proper divisors (26098482420).

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

10220220000 is an equidigital number, since it uses as much as digits as its factorization.

10220220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56815 (or 56789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10220220000 its reverse (2202201), we get a palindrome (10222422201).

The spelling of 10220220000 in words is "ten billion, two hundred twenty million, two hundred twenty thousand".