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10072221075 = 335272131687
BaseRepresentation
bin10010110000101100…
…11110010110010011
3221222221122211211000
421120112132112103
5131111442033300
64343242353043
7504412316010
oct113026362623
927887584730
1010072221075
1142a9562854
121b511bb783
13c46955c37
146b79a2707
153de3c6c00
hex25859e593

10072221075 has 48 divisors (see below), whose sum is σ = 21146344960. Its totient is φ = 4604441760.

The previous prime is 10072221073. The next prime is 10072221077. The reversal of 10072221075 is 57012227001.

10072221075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10072221073) and next prime (10072221077).

It is not a de Polignac number, because 10072221075 - 21 = 10072221073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10072221073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1061119 + ... + 1070568.

Almost surely, 210072221075 is an apocalyptic number.

10072221075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10072221075 is an abundant number, since it is smaller than the sum of its proper divisors (11074123885).

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

10072221075 is a wasteful number, since it uses less digits than its factorization.

10072221075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131713 (or 2131702 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 10072221075 its reverse (57012227001), we get a palindrome (67084448076).

The spelling of 10072221075 in words is "ten billion, seventy-two million, two hundred twenty-one thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4725 2131687 6395061 10658435 14921809 19185183 31975305 44765427 53292175 57555549 74609045 95925915 134296281 159876525 223827135 287777745 373045225 402888843 479629575 671481405 1119135675 1438888725 2014444215 3357407025 10072221075