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10213222220010 = 23554202972107
BaseRepresentation
bin1001010010011111001101…
…1110111000000011101010
31100011101010000110022100000
42110213303132320003222
52314313134342020020
633415520045123430
72102611111326555
oct224476336700352
940141100408300
1010213222220010
113288448759877
12118b483559576
135911448b3404
142744732a369c
1512aa090b2090
hex949f37b80ea

10213222220010 has 48 divisors (see below), whose sum is σ = 27537873251616. Its totient is φ = 2723525924688.

The previous prime is 10213222219987. The next prime is 10213222220017. The reversal of 10213222220010 is 1002222231201.

10213222220010 is a `hidden beast` number, since 1 + 0 + 213 + 222 + 220 + 0 + 10 = 666.

It is a super-3 number, since 3×102132222200103 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10213222220017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101483624 + ... + 2101488483.

It is an arithmetic number, because the mean of its divisors is an integer number (573705692742).

Almost surely, 210213222220010 is an apocalyptic number.

10213222220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10213222220010 is an abundant number, since it is smaller than the sum of its proper divisors (17324651031606).

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

10213222220010 is an equidigital number, since it uses as much as digits as its factorization.

10213222220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202972129 (or 4202972117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10213222220010 its reverse (1002222231201), we get a palindrome (11215444451211).

The spelling of 10213222220010 in words is "ten trillion, two hundred thirteen billion, two hundred twenty-two million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 4202972107 8405944214 12608916321 21014860535 25217832642 37826748963 42029721070 63044581605 75653497926 113480246889 126089163210 189133744815 226960493778 340440740667 378267489630 567401234445 680881481334 1021322222001 1134802468890 1702203703335 2042644444002 3404407406670 5106611110005 10213222220010