Search a number
-
+
1010021020221 = 389101113331451
BaseRepresentation
bin11101011001010011111…
…00011011001000111101
310120120001002201222221010
432230221330123020331
5113022010340121341
62051555223425433
7132654156006303
oct16545174331075
93516032658833
101010021020221
1135a390597794
121438b9bb5279
13743244358c5
1436c572bc273
151b4163c7716
hexeb29f1b23d

1010021020221 has 32 divisors (see below), whose sum is σ = 1387484588160. Its totient is φ = 653354240000.

The previous prime is 1010021020219. The next prime is 1010021020249. The reversal of 1010021020221 is 1220201200101.

It is a cyclic number.

It is not a de Polignac number, because 1010021020221 - 21 = 1010021020219 is a prime.

It is a super-2 number, since 2×10100210202212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010021020197 and 1010021020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010021020201) 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 31 ways as a sum of consecutive naturals, for example, 2881546 + ... + 3212996.

It is an arithmetic number, because the mean of its divisors is an integer number (43358893380).

Almost surely, 21010021020221 is an apocalyptic number.

It is an amenable number.

1010021020221 is a deficient number, since it is larger than the sum of its proper divisors (377463567939).

1010021020221 is a wasteful number, since it uses less digits than its factorization.

1010021020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331757.

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

Adding to 1010021020221 its reverse (1220201200101), we get a palindrome (2230222220322).

The spelling of 1010021020221 in words is "one trillion, ten billion, twenty-one million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 89 101 113 267 303 339 8989 10057 11413 26967 30171 34239 331451 994353 1015757 3047271 29499139 33476551 37453963 88497417 100429653 112361889 2979413039 3333402707 3782850263 8938239117 10000208121 11348550789 336673673407 1010021020221