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10220121220 = 22510922321023
BaseRepresentation
bin10011000010010101…
…01010110010000100
3222101020221221200011
421201022222302010
5131412322334340
64410044400004
7511156411531
oct114112526204
928336857604
1010220121220
114374aa0381
121b92846004
13c6b49b10a
146cd4a1d88
153ec38e0ea
hex2612aac84

10220121220 has 48 divisors (see below), whose sum is σ = 21757317120. Its totient is φ = 4032187776.

The previous prime is 10220121181. The next prime is 10220121227. The reversal of 10220121220 is 2212102201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10220121220.

It is not an unprimeable number, because it can be changed into a prime (10220121227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 475629 + ... + 496651.

It is an arithmetic number, because the mean of its divisors is an integer number (453277440).

Almost surely, 210220121220 is an apocalyptic number.

10220121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220121220 is an abundant number, since it is smaller than the sum of its proper divisors (11537195900).

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

10220121220 is a wasteful number, since it uses less digits than its factorization.

10220121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21364 (or 21362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10220121220 its reverse (2212102201), we get a palindrome (12432223421).

The spelling of 10220121220 in words is "ten billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 223 436 446 545 892 1090 1115 2180 2230 4460 21023 24307 42046 48614 84092 97228 105115 121535 210230 243070 420460 486140 2291507 4583014 4688129 9166028 9376258 11457535 18752516 22915070 23440645 45830140 46881290 93762580 511006061 1022012122 2044024244 2555030305 5110060610 10220121220