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221021210112 = 293199971983
BaseRepresentation
bin1100110111010111100…
…1000000011000000000
3210010111100101210122220
43031311321000120000
512110122412210422
6245311415331040
721653053200603
oct3156571003000
9703440353586
10221021210112
118580979051a
1236a03680a80
1317ac444c141
14a9a9c7633a
155b38bb0e5c
hex3375e40600

221021210112 has 80 divisors (see below), whose sum is σ = 589117056000. Its totient is φ = 73635858432.

The previous prime is 221021210107. The next prime is 221021210117. The reversal of 221021210112 is 211012120122.

It is an interprime number because it is at equal distance from previous prime (221021210107) and next prime (221021210117).

It is a junction number, because it is equal to n+sod(n) for n = 221021210091 and 221021210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021210117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3034473 + ... + 3106455.

It is an arithmetic number, because the mean of its divisors is an integer number (7363963200).

Almost surely, 2221021210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221021210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294558528000).

221021210112 is an abundant number, since it is smaller than the sum of its proper divisors (368095845888).

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

221021210112 is an equidigital number, since it uses as much as digits as its factorization.

221021210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74003 (or 73987 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221021210112 its reverse (211012120122), we get a palindrome (432033330234).

The spelling of 221021210112 in words is "two hundred twenty-one billion, twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1999 3998 5997 7996 11994 15992 23988 31984 47976 63968 71983 95952 127936 143966 191904 215949 255872 287932 383808 431898 511744 575864 767616 863796 1023488 1151728 1535232 1727592 2303456 3070464 3455184 4606912 6910368 9213824 13820736 18427648 27641472 36855296 55282944 110565888 143894017 287788034 431682051 575576068 863364102 1151152136 1726728204 2302304272 3453456408 4604608544 6906912816 9209217088 13813825632 18418434176 27627651264 36836868352 55255302528 73673736704 110510605056 221021210112