Search a number
-
+
1301420314431 = 321724095932063
BaseRepresentation
bin10010111100000010101…
…100100000111100111111
311121102012012220220100100
4102330002230200330333
5132310302100030211
62433510401532143
7163011260102646
oct22740254407477
94542165826310
101301420314431
11461a24926476
12190283044053
1395953439493
1446dbc06835d
1523cbd97e156
hex12f02b20f3f

1301420314431 has 72 divisors (see below), whose sum is σ = 2006142240960. Its totient is φ = 812813082624.

The previous prime is 1301420314409. The next prime is 1301420314463. The reversal of 1301420314431 is 1344130241031.

1301420314431 is a `hidden beast` number, since 1 + 3 + 0 + 14 + 203 + 1 + 443 + 1 = 666.

It is not a de Polignac number, because 1301420314431 - 213 = 1301420306239 is a prime.

It is a super-2 number, since 2×13014203144312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301420314395 and 1301420314404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301420314631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 630837706 + ... + 630839768.

It is an arithmetic number, because the mean of its divisors is an integer number (27863086680).

Almost surely, 21301420314431 is an apocalyptic number.

1301420314431 is a deficient number, since it is larger than the sum of its proper divisors (704721926529).

1301420314431 is a wasteful number, since it uses less digits than its factorization.

1301420314431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1301420314431 its reverse (1344130241031), we get a palindrome (2645550555462).

The spelling of 1301420314431 in words is "one trillion, three hundred one billion, four hundred twenty million, three hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 9 17 51 153 289 409 593 867 1227 1779 2063 2601 3681 5337 6189 6953 10081 18567 20859 30243 35071 62577 90729 105213 118201 171377 242537 315639 354603 514131 596207 727611 843767 1063809 1223359 1542393 1788621 2182833 2531301 3670077 4123129 5365863 7593903 11010231 12369387 14344039 20797103 37108161 43032117 62391309 70093193 129096351 187173927 210279579 243848663 353550751 500353831 630838737 731545989 1060652253 1501061493 2194637967 3181956759 4503184479 8506015127 25518045381 76554136143 144602257159 433806771477 1301420314431