Search a number
-
+
210202100222121 = 32731139774319163
BaseRepresentation
bin101111110010110101111101…
…100000111100100010101001
31000120021010100210002100000200
4233302311331200330202221
5210022422400124101441
62023021302311422413
762163412666346520
oct5762657540744251
91016233323070020
10210202100222121
1160a82234688527
121b6aa6aa084a09
139039c858a1547
1439c9b9bb3b4b7
151947c8ba147b6
hexbf2d7d83c8a9

210202100222121 has 48 divisors (see below), whose sum is σ = 360770784890880. Its totient is φ = 115404527904480.

The previous prime is 210202100222087. The next prime is 210202100222159. The reversal of 210202100222121 is 121222001202012.

It is a happy number.

210202100222121 is a `hidden beast` number, since 21 + 0 + 202 + 100 + 222 + 121 = 666.

It is not a de Polignac number, because 210202100222121 - 214 = 210202100205737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210202100222094 and 210202100222103.

It is not an unprimeable number, because it can be changed into a prime (210202102222121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386888115 + ... + 387431048.

It is an arithmetic number, because the mean of its divisors is an integer number (7516058018560).

Almost surely, 2210202100222121 is an apocalyptic number.

210202100222121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210202100222121 is a deficient number, since it is larger than the sum of its proper divisors (150568684668759).

210202100222121 is a wasteful number, since it uses less digits than its factorization.

210202100222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774319346 (or 774319343 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210202100222121 its reverse (121222001202012), we get a palindrome (331424101424133).

The spelling of 210202100222121 in words is "two hundred ten trillion, two hundred two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 31 63 93 139 217 279 417 651 973 1251 1953 2919 4309 8757 12927 30163 38781 90489 271467 774319163 2322957489 5420234141 6968872467 16260702423 24003894053 48782107269 72011682159 107630363657 168027258371 216035046477 322891090971 504081775113 753412545599 968673272913 1512245325339 2260237636797 3336541273367 6780712910391 10009623820101 23355788913569 30028871460303 70067366740707 210202100222121