Search a number
-
+
1340101431123 = 371324373120293
BaseRepresentation
bin10011100000000100010…
…001010000111101010011
311202010000222021020001220
4103200010101100331103
5133424011431243443
62503344544300123
7165550651134630
oct23400421207523
94663028236056
101340101431123
11477374359a04
12197879311643
13994a91a1a00
1448c0b3db187
1524cd4795a83
hex13804450f53

1340101431123 has 96 divisors (see below), whose sum is σ = 2293662057984. Its totient is φ = 680964350976.

The previous prime is 1340101431103. The next prime is 1340101431197. The reversal of 1340101431123 is 3211341010431.

It is a happy number.

It is not a de Polignac number, because 1340101431123 - 216 = 1340101365587 is a prime.

It is a super-2 number, since 2×13401014311232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1340101431093 and 1340101431102.

It is not an unprimeable number, because it can be changed into a prime (1340101431103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11080165 + ... + 11200457.

It is an arithmetic number, because the mean of its divisors is an integer number (23892313104).

Almost surely, 21340101431123 is an apocalyptic number.

1340101431123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1340101431123 is a deficient number, since it is larger than the sum of its proper divisors (953560626861).

1340101431123 is a wasteful number, since it uses less digits than its factorization.

1340101431123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120445 (or 120432 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1340101431123 its reverse (3211341010431), we get a palindrome (4551442441554).

The spelling of 1340101431123 in words is "one trillion, three hundred forty billion, one hundred one million, four hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 13 21 39 43 73 91 129 169 219 273 301 507 511 559 903 949 1183 1533 1677 2847 3139 3549 3913 6643 7267 9417 11739 12337 19929 21801 21973 37011 40807 50869 65919 86359 120293 122421 152607 259077 285649 360879 530491 842051 856947 1563809 1591473 2526153 3713437 4691427 5172599 8781389 10946663 11140311 15517797 20329517 26344167 32839989 36208193 60988551 61469723 67243787 108624579 114158057 142306619 184409169 201731361 342474171 377599727 426919857 470706509 799106399 874169231 1132799181 1412119527 1484054741 2397319197 2622507693 2643198089 4452164223 4908796451 6119184617 7929594267 10388383187 14726389353 18357553851 31165149561 34361575157 63814353863 103084725471 191443061589 446700477041 1340101431123