Search a number
-
+
1020121001021 = 53197656314887
BaseRepresentation
bin11101101100000111111…
…00110010110000111101
310121112002222122011221002
432312003330302300331
5113203201434013041
62100345341220045
7133462356303413
oct16660374626075
93545088564832
101020121001021
113636a378a861
12145858561625
1375273a5abc5
14375348292b3
151b807e3459b
hexed83f32c3d

1020121001021 has 16 divisors (see below), whose sum is σ = 1044873903744. Its totient is φ = 995574250944.

The previous prime is 1020121000949. The next prime is 1020121001027. The reversal of 1020121001021 is 1201001210201.

It is a cyclic number.

It is not a de Polignac number, because 1020121001021 - 214 = 1020120984637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020121000993 and 1020121001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020121001027) 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 15 ways as a sum of consecutive naturals, for example, 68516840 + ... + 68531726.

It is an arithmetic number, because the mean of its divisors is an integer number (65304618984).

Almost surely, 21020121001021 is an apocalyptic number.

It is an amenable number.

1020121001021 is a deficient number, since it is larger than the sum of its proper divisors (24752902723).

1020121001021 is a wasteful number, since it uses less digits than its factorization.

1020121001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21700.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020121001021 its reverse (1201001210201), we get a palindrome (2221122211222).

The spelling of 1020121001021 in words is "one trillion, twenty billion, one hundred twenty-one million, one thousand, twenty-one".

Divisors: 1 53 197 6563 10441 14887 347839 789011 1292911 2932739 68524283 97703381 155435167 5178279193 19247566057 1020121001021