Search a number
-
+
102022121111202 = 23210156117778389
BaseRepresentation
bin10111001100100111100000…
…010010011011111010100010
3111101020012221000221021001200
4113030213200102123322202
5101333012301001024302
61000552152043542030
730326566161036015
oct2714474022337242
9441205830837050
10102022121111202
112a56437a724246
12b5386a1b2a916
1344c084c654c16
141b29c7b56b37c
15bbdc6985081c
hex5cc9e049bea2

102022121111202 has 24 divisors (see below), whose sum is σ = 223236522435420. Its totient is φ = 33670667032800.

The previous prime is 102022121111201. The next prime is 102022121111203. The reversal of 102022121111202 is 202111121220201.

102022121111202 is a `hidden beast` number, since 1 + 0 + 20 + 221 + 211 + 11 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (102022121111201) and next prime (102022121111203).

It can be written as a sum of positive squares in 2 ways, for example, as 95285339939241 + 6736781171961 = 9761421^2 + 2595531^2 .

It is a super-2 number, since 2×1020221211112022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102022121111201) 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 11 ways as a sum of consecutive naturals, for example, 28058887377 + ... + 28058891012.

Almost surely, 2102022121111202 is an apocalyptic number.

102022121111202 is an abundant number, since it is smaller than the sum of its proper divisors (121214401324218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102022121111202 is a wasteful number, since it uses less digits than its factorization.

102022121111202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56117778498 (or 56117778495 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102022121111202 its reverse (202111121220201), we get a palindrome (304133242331403).

The spelling of 102022121111202 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 56117778389 112235556778 168353335167 336706670334 505060005501 1010120011002 5667895617289 11335791234578 17003686851867 34007373703734 51011060555601 102022121111202