Search a number
-
+
122002102401 = 3971439291349
BaseRepresentation
bin111000110011111100…
…1000101100010000001
3102122220112110221200020
41301213321011202001
53444330014234101
6132014052244053
711546216521434
oct1614771054201
9378815427606
10122002102401
1147817008303
121b78a310629
13b673c1964a
145c951cb81b
153290b31136
hex1c67e45881

122002102401 has 16 divisors (see below), whose sum is σ = 164461248000. Its totient is φ = 80440017408.

The previous prime is 122002102379. The next prime is 122002102457. The reversal of 122002102401 is 104201200221.

It is not a de Polignac number, because 122002102401 - 225 = 121968547969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122007102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273075 + ... + 564423.

It is an arithmetic number, because the mean of its divisors is an integer number (10278828000).

Almost surely, 2122002102401 is an apocalyptic number.

It is an amenable number.

122002102401 is a deficient number, since it is larger than the sum of its proper divisors (42459145599).

122002102401 is a wasteful number, since it uses less digits than its factorization.

122002102401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292888.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122002102401 its reverse (104201200221), we get a palindrome (226203302622).

The spelling of 122002102401 in words is "one hundred twenty-two billion, two million, one hundred two thousand, four hundred one".

Divisors: 1 3 97 291 1439 4317 139583 291349 418749 874047 28260853 84782559 419251211 1257753633 40667367467 122002102401