Search a number
-
+
1020101112221 = 31131601417961
BaseRepresentation
bin11101101100000101100…
…00111011000110011101
310121112001121012201121212
432312002300323012131
5113203131341042341
62100343351034205
7133462025246522
oct16660260730635
93545047181555
101020101112221
11363693536034
1214585196b965
137526c8b6299
1437531d2d149
151b8063065eb
hexed82c3b19d

1020101112221 has 16 divisors (see below), whose sum is σ = 1062813835776. Its totient is φ = 978026400000.

The previous prime is 1020101112203. The next prime is 1020101112259. The reversal of 1020101112221 is 1222111010201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020101112221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020101112196 and 1020101112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101112271) 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, 2231681 + ... + 2649641.

It is an arithmetic number, because the mean of its divisors is an integer number (66425864736).

Almost surely, 21020101112221 is an apocalyptic number.

It is an amenable number.

1020101112221 is a deficient number, since it is larger than the sum of its proper divisors (42712723555).

1020101112221 is a wasteful number, since it uses less digits than its factorization.

1020101112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418724.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1020101112221 its reverse (1222111010201), we get a palindrome (2242212122422).

The spelling of 1020101112221 in words is "one trillion, twenty billion, one hundred one million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 31 131 601 4061 18631 78731 417961 2440661 12956791 54752891 251194561 1697339621 7787031391 32906487491 1020101112221