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10220100090 = 2352039167077
BaseRepresentation
bin10011000010010101…
…00101100111111010
3222101020220212200120
421201022211213322
5131412321200330
64410044114110
7511156263114
oct114112454772
928336825616
1010220100090
114374a86512
121b92835936
13c6b491605
146cd4983b4
153ec387c10
hex2612a59fa

10220100090 has 32 divisors (see below), whose sum is σ = 24540416640. Its totient is φ = 2724007104.

The previous prime is 10220100067. The next prime is 10220100091. The reversal of 10220100090 is 9000102201.

It is a happy number.

10220100090 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 (15).

It is not an unprimeable number, because it can be changed into a prime (10220100091) 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 15 ways as a sum of consecutive naturals, for example, 22369 + ... + 144708.

It is an arithmetic number, because the mean of its divisors is an integer number (766888020).

Almost surely, 210220100090 is an apocalyptic number.

10220100090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220100090 is an abundant number, since it is smaller than the sum of its proper divisors (14320316550).

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

10220100090 is a wasteful number, since it uses less digits than its factorization.

10220100090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169126.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10220100090 its reverse (9000102201), we get a palindrome (19220202291).

The spelling of 10220100090 in words is "ten billion, two hundred twenty million, one hundred thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 2039 4078 6117 10195 12234 20390 30585 61170 167077 334154 501231 835385 1002462 1670770 2506155 5012310 340670003 681340006 1022010009 1703350015 2044020018 3406700030 5110050045 10220100090