Search a number
-
+
1000020202221 = 3232937101133733
BaseRepresentation
bin11101000110101011101…
…10010101001011101101
310112121020010102210201110
432203111312111023231
5112341020132432341
62043223011302233
7132151301316435
oct16432566251355
93477203383643
101000020202221
11356119374147
121419888aa979
13733bc520011
1436588dc52c5
151b02d407216
hexe8d5d952ed

1000020202221 has 64 divisors (see below), whose sum is σ = 1492856593920. Its totient is φ = 593128166400.

The previous prime is 1000020202211. The next prime is 1000020202241. The reversal of 1000020202221 is 1222020200001.

It is not a de Polignac number, because 1000020202221 - 214 = 1000020185837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000020202197 and 1000020202206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020202201) 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 63 ways as a sum of consecutive naturals, for example, 7410871 + ... + 7544603.

It is an arithmetic number, because the mean of its divisors is an integer number (23325884280).

Almost surely, 21000020202221 is an apocalyptic number.

It is an amenable number.

1000020202221 is a deficient number, since it is larger than the sum of its proper divisors (492836391699).

1000020202221 is a wasteful number, since it uses less digits than its factorization.

1000020202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133926.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1000020202221 its reverse (1222020200001), we get a palindrome (2222040402222).

The spelling of 1000020202221 in words is "one trillion, twenty million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 23 29 37 69 87 101 111 303 667 851 1073 2001 2323 2553 2929 3219 3737 6969 8787 11211 24679 67367 74037 85951 108373 133733 202101 257853 325119 401199 2492579 3075859 3878257 4948121 7477737 9227577 11634771 13507033 14844363 40521099 89199911 113806783 143495509 267599733 310661759 341420349 391703957 430486527 499760221 931985277 1175111871 1499280663 3300396707 9009191011 9901190121 11494485083 14493046409 27027573033 34483455249 43479139227 333340067407 1000020202221