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1020201220110 = 235431123704233
BaseRepresentation
bin11101101100010001011…
…10110011100000001110
310121112022120120201211110
432312020232303200032
5113203333003020420
62100401324432450
7133464352201332
oct16661056634016
93545276521743
101020201220110
11363734aa0626
1214587b3a8726
1375287566c17
143754134b7c2
151b80eeccee0
hexed88bb380e

1020201220110 has 64 divisors (see below), whose sum is σ = 2507658962688. Its totient is φ = 265489830144.

The previous prime is 1020201220061. The next prime is 1020201220117. The reversal of 1020201220110 is 110221020201.

1020201220110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020201220117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096554 + ... + 1800786.

It is an arithmetic number, because the mean of its divisors is an integer number (39182171292).

Almost surely, 21020201220110 is an apocalyptic number.

1020201220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020201220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253829481344).

1020201220110 is an abundant number, since it is smaller than the sum of its proper divisors (1487457742578).

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

1020201220110 is a wasteful number, since it uses less digits than its factorization.

1020201220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705409.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020201220110 its reverse (110221020201), we get a palindrome (1130422240311).

The spelling of 1020201220110 in words is "one trillion, twenty billion, two hundred one million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1123 1290 2246 3369 5615 6738 11230 16845 33690 48289 96578 144867 241445 289734 482890 704233 724335 1408466 1448670 2112699 3521165 4225398 7042330 10563495 21126990 30282019 60564038 90846057 151410095 181692114 302820190 454230285 790853659 908460570 1581707318 2372560977 3954268295 4745121954 7908536590 11862804885 23725609770 34006707337 68013414674 102020122011 170033536685 204040244022 340067073370 510100610055 1020201220110