Search a number
-
+
1001202011121 = 31379333236083
BaseRepresentation
bin11101001000111000100…
…10100100101111110001
310112201021111012220202110
432210130102210233301
5112400430203323441
62043540145435533
7132222501451434
oct16443422445761
93481244186673
101001202011121
11356675485714
1214205863bba9
137354a315520
143665bd3b81b
151b09c04cb16
hexe91c4a4bf1

1001202011121 has 16 divisors (see below), whose sum is σ = 1437805065536. Its totient is φ = 616046458176.

The previous prime is 1001202011101. The next prime is 1001202011123. The reversal of 1001202011121 is 1211102021001.

1001202011121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001202011121 - 218 = 1001201748977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001202011097 and 1001202011106.

It is not an unprimeable number, because it can be changed into a prime (1001202011123) 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, 1308655 + ... + 1927428.

It is an arithmetic number, because the mean of its divisors is an integer number (89862816596).

Almost surely, 21001202011121 is an apocalyptic number.

It is an amenable number.

1001202011121 is a deficient number, since it is larger than the sum of its proper divisors (436603054415).

1001202011121 is a wasteful number, since it uses less digits than its factorization.

1001202011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244032.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001202011121 its reverse (1211102021001), we get a palindrome (2212304032122).

The spelling of 1001202011121 in words is "one trillion, one billion, two hundred two million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 13 39 7933 23799 103129 309387 3236083 9708249 42069079 126207237 25671846439 77015539317 333734003707 1001202011121