Search a number
-
+
1020010332001 = 29972797129641
BaseRepresentation
bin11101101011111010101…
…10100111111101100001
310121111211021101121120111
432311331112213331201
5113202440121111001
62100330345211321
7133456543524253
oct16657526477541
93544737347514
101020010332001
11363647271561
12145827490b41
1375256b5018b
1437523c5bcd3
151b7ed373851
hexed7d5a7f61

1020010332001 has 16 divisors (see below), whose sum is σ = 1066450649040. Its totient is φ = 974328606720.

The previous prime is 1020010331999. The next prime is 1020010332041. The reversal of 1020010332001 is 1002330100201.

It can be written as a sum of positive squares in 8 ways, for example, as 10485760000 + 1009524572001 = 102400^2 + 1004751^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020010332001 - 21 = 1020010331999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020010332041) 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, 7803141 + ... + 7932781.

It is an arithmetic number, because the mean of its divisors is an integer number (66653165565).

Almost surely, 21020010332001 is an apocalyptic number.

It is an amenable number.

1020010332001 is a deficient number, since it is larger than the sum of its proper divisors (46440317039).

1020010332001 is a wasteful number, since it uses less digits than its factorization.

1020010332001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132564.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1020010332001 its reverse (1002330100201), we get a palindrome (2022340432202).

The spelling of 1020010332001 in words is "one trillion, twenty billion, ten million, three hundred thirty-two thousand, one".

Divisors: 1 29 97 2797 2813 81113 129641 271309 3759589 7867961 12575177 362605877 364680133 10515570433 35172770069 1020010332001