Search a number
-
+
10202112012221 = 173123980999357
BaseRepresentation
bin1001010001110101110101…
…0000110010111110111101
31100010022102201122021102122
42110131131100302332331
52314122411133342341
633410441402532325
72102035563165323
oct224353520627675
940108381567378
1010202112012221
113283767298268
1211892a28070a5
13590093bacc6c
14273adb905d13
1512a5a8a0394b
hex9475d432fbd

10202112012221 has 16 divisors (see below), whose sum is σ = 11197351249920. Its totient is φ = 9253366429440.

The previous prime is 10202112012163. The next prime is 10202112012307. The reversal of 10202112012221 is 12221021120201.

It is not a de Polignac number, because 10202112012221 - 210 = 10202112011197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10202112012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202112018221) 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, 40373726 + ... + 40625631.

It is an arithmetic number, because the mean of its divisors is an integer number (699834453120).

Almost surely, 210202112012221 is an apocalyptic number.

It is an amenable number.

10202112012221 is a deficient number, since it is larger than the sum of its proper divisors (995239237699).

10202112012221 is a wasteful number, since it uses less digits than its factorization.

10202112012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80999644.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10202112012221 its reverse (12221021120201), we get a palindrome (22423133132422).

The spelling of 10202112012221 in words is "ten trillion, two hundred two billion, one hundred twelve million, twelve thousand, two hundred twenty-one".

Divisors: 1 17 31 239 527 4063 7409 125953 80999357 1376989069 2510980067 19358846323 42686661139 329100387491 600124236013 10202112012221