Search a number
-
+
10202122009973 = 401187722436043
BaseRepresentation
bin1001010001110101110111…
…0110111011110101110101
31100010022110102110012202202
42110131131312323311311
52314122421213304343
633410442401114245
72102036044155305
oct224353566736565
940108412405682
1010202122009973
1132837719a6773
1211892a6028985
13590095ca07aa
14273adcd89605
1512a5a982adb8
hex9475ddbbd75

10202122009973 has 16 divisors (see below), whose sum is σ = 10239268919616. Its totient is φ = 10165041465600.

The previous prime is 10202122009957. The next prime is 10202122009991. The reversal of 10202122009973 is 37990022120201.

It is a cyclic number.

It is not a de Polignac number, because 10202122009973 - 24 = 10202122009957 is a prime.

It is a super-2 number, since 2×102021220099732 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122009903) 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, 1688251490 + ... + 1688257532.

It is an arithmetic number, because the mean of its divisors is an integer number (639954307476).

Almost surely, 210202122009973 is an apocalyptic number.

It is an amenable number.

10202122009973 is a deficient number, since it is larger than the sum of its proper divisors (37146909643).

10202122009973 is a wasteful number, since it uses less digits than its factorization.

10202122009973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 10202122009973 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, nine thousand, nine hundred seventy-three".

Divisors: 1 401 1877 2243 6043 752677 899443 2423243 4210111 11342711 13554449 1688254511 4548427111 5435334049 25441700773 10202122009973