Search a number
-
+
1020335121505 = 57283127395089
BaseRepresentation
bin11101101100100001011…
…01100110010001100001
310121112122220112122000101
432312100231212101201
5113204121242342010
62100422510422401
7133500566301400
oct16662055462141
93545586478011
101020335121505
113637a3637737
121458b8201a01
13752a921a40b
1437555045637
151b81bb2c73a
hexed90b66461

1020335121505 has 48 divisors (see below), whose sum is σ = 1452818626560. Its totient is φ = 685784268288.

The previous prime is 1020335121473. The next prime is 1020335121511. The reversal of 1020335121505 is 5051215330201.

It is not a de Polignac number, because 1020335121505 - 25 = 1020335121473 is a prime.

It is a super-2 number, since 2×10203351215052 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2385001 + ... + 2780089.

It is an arithmetic number, because the mean of its divisors is an integer number (30267054720).

Almost surely, 21020335121505 is an apocalyptic number.

It is an amenable number.

1020335121505 is a deficient number, since it is larger than the sum of its proper divisors (432483505055).

1020335121505 is a wasteful number, since it uses less digits than its factorization.

1020335121505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395318 (or 395311 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 1020335121505 in words is "one trillion, twenty billion, three hundred thirty-five million, one hundred twenty-one thousand, five hundred five".

Divisors: 1 5 7 35 49 83 127 245 415 581 635 889 2905 4067 4445 6223 10541 20335 31115 52705 73787 368935 395089 516509 1975445 2582545 2765623 13828115 19359361 32792387 50176303 96796805 163961935 229546709 250881515 351234121 1147733545 1606826963 1756170605 2458638847 4164633149 8034134815 12293194235 20823165745 29152432043 145762160215 204067024301 1020335121505