Search a number
-
+
10220121220110 = 235743814580077
BaseRepresentation
bin1001010010111000111010…
…1100011110010000001110
31100012000220211010211022020
42110232032230132100032
52314421302013020420
633423020414431010
72103244063010514
oct224561654362016
940160824124266
1010220121220110
113290368a9974a
121190889b02466
135919a3cb56a9
1427492964c4b4
1512acaeaca340
hex94b8eb1e40e

10220121220110 has 32 divisors (see below), whose sum is σ = 24528626049312. Its totient is φ = 2725328423040.

The previous prime is 10220121220091. The next prime is 10220121220117. The reversal of 10220121220110 is 1102212102201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10220121220110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220121220117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58609 + ... + 4521468.

It is an arithmetic number, because the mean of its divisors is an integer number (766519564041).

Almost surely, 210220121220110 is an apocalyptic number.

10220121220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220121220110 is an abundant number, since it is smaller than the sum of its proper divisors (14308504829202).

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

10220121220110 is a wasteful number, since it uses less digits than its factorization.

10220121220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654468.

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

Adding to 10220121220110 its reverse (1102212102201), we get a palindrome (11322333322311).

The spelling of 10220121220110 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 74381 148762 223143 371905 446286 743810 1115715 2231430 4580077 9160154 13740231 22900385 27480462 45800770 68701155 137402310 340670707337 681341414674 1022012122011 1703353536685 2044024244022 3406707073370 5110060610055 10220121220110