Search a number
-
+
1303013020101 = 3132271103133439
BaseRepresentation
bin10010111101100001101…
…000001101000111000101
311121120022012212201210020
4102331201220031013011
5132322032313120401
62434332415045353
7163065606632502
oct22754150150705
94546265781706
101303013020101
11462671975851
12190648510859
1395b483ba080
14470cd7c04a9
1523d636dbd36
hex12f61a0d1c5

1303013020101 has 32 divisors (see below), whose sum is σ = 1880953159680. Its totient is φ = 797592018624.

The previous prime is 1303013020073. The next prime is 1303013020109. The reversal of 1303013020101 is 1010203103031.

It is not a de Polignac number, because 1303013020101 - 211 = 1303013018053 is a prime.

It is a super-3 number, since 3×13030130201013 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303013020109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9698140 + ... + 9831578.

It is an arithmetic number, because the mean of its divisors is an integer number (58779786240).

Almost surely, 21303013020101 is an apocalyptic number.

It is an amenable number.

1303013020101 is a deficient number, since it is larger than the sum of its proper divisors (577940139579).

1303013020101 is a wasteful number, since it uses less digits than its factorization.

1303013020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134785.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1303013020101 its reverse (1010203103031), we get a palindrome (2313216123132).

The spelling of 1303013020101 in words is "one trillion, three hundred three billion, thirteen million, twenty thousand, one hundred one".

Divisors: 1 3 13 39 227 681 1103 2951 3309 8853 14339 43017 133439 250381 400317 751143 1734707 3254953 5204121 9764859 30290653 90871959 147183217 393778489 441549651 1181335467 1913381821 5740145463 33410590259 100231770777 434337673367 1303013020101