Search a number
-
+
122001011101021 = 13193145513341719
BaseRepresentation
bin11011101111010110010010…
…111011011100110101011101
3120222222011221020012010202111
4123233112102323130311131
5111442331032320213041
61111250254001154021
734461165533666503
oct3357262273346535
9528864836163674
10122001011101021
113596737a230178
121182474392b911
13530c8522b6c70
14221ac47d1a673
15e187d62a8981
hex6ef592edcd5d

122001011101021 has 16 divisors (see below), whose sum is σ = 132075574839040. Its totient is φ = 112025080857600.

The previous prime is 122001011101009. The next prime is 122001011101027. The reversal of 122001011101021 is 120101110100221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122001011101021 - 237 = 121863572147549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122001011100992 and 122001011101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001011101027) 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, 34837600 + ... + 38179318.

It is an arithmetic number, because the mean of its divisors is an integer number (8254723427440).

Almost surely, 2122001011101021 is an apocalyptic number.

It is an amenable number.

122001011101021 is a deficient number, since it is larger than the sum of its proper divisors (10074563738019).

122001011101021 is a wasteful number, since it uses less digits than its factorization.

122001011101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356476.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122001011101021 its reverse (120101110100221), we get a palindrome (242102121201242).

The spelling of 122001011101021 in words is "one hundred twenty-two trillion, one billion, eleven million, one hundred one thousand, twenty-one".

Divisors: 1 13 193 2509 14551 189163 2808343 3341719 36508459 43442347 644951767 8384372971 48625353169 632129591197 9384693161617 122001011101021