Search a number
-
+
102122012202021 = 3776670717369
BaseRepresentation
bin10111001110000100100010…
…010000101101010000100101
3111101120202202121122110000000
4113032010202100231100211
5101341131340110431041
61001110112120411513
730340033443225030
oct2716044220552045
9441522677573000
10102122012202021
112a5a277a633259
12b553b1b316b99
1344ca0ab721956
141b30a35d5c017
15bc1664225bb6
hex5ce12242d425

102122012202021 has 32 divisors (see below), whose sum is σ = 175039623788800. Its totient is φ = 58355435535264.

The previous prime is 102122012202019. The next prime is 102122012202029. The reversal of 102122012202021 is 120202210221201.

It is a happy number.

102122012202021 is a `hidden beast` number, since 1 + 0 + 21 + 220 + 1 + 220 + 202 + 1 = 666.

It is not a de Polignac number, because 102122012202021 - 21 = 102122012202019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102122012201985 and 102122012202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122012202029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3335343376 + ... + 3335373993.

It is an arithmetic number, because the mean of its divisors is an integer number (5469988243400).

Almost surely, 2102122012202021 is an apocalyptic number.

It is an amenable number.

102122012202021 is a deficient number, since it is larger than the sum of its proper divisors (72917611586779).

102122012202021 is an frugal number, since it uses more digits than its factorization.

102122012202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670717397 (or 6670717379 counting only the distinct ones).

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

Adding to 102122012202021 its reverse (120202210221201), we get a palindrome (222324222423222).

The spelling of 102122012202021 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, two hundred two thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 2187 5103 15309 6670717369 20012152107 46695021583 60036456321 140085064749 180109368963 420255194247 540328106889 1260765582741 1620984320667 3782296748223 4862952962001 11346890244669 14588858886003 34040670734007 102122012202021