Search a number
-
+
10131313545 = 345376710091
BaseRepresentation
bin10010110111101111…
…11001001110001001
3222011001212001110000
421123313321032021
5131222104013140
64353153113213
7506030513163
oct113367711611
928131761400
1010131313545
114329953901
121b68b58809
13c55c75ab2
146c1785933
153e469aa30
hex25bdf9389

10131313545 has 80 divisors (see below), whose sum is σ = 18932430528. Its totient is φ = 5178349440.

The previous prime is 10131313537. The next prime is 10131313571. The reversal of 10131313545 is 54531313101.

It is a happy number.

10131313545 is a `hidden beast` number, since 101 + 3 + 1 + 3 + 13 + 545 = 666.

It is not a de Polignac number, because 10131313545 - 23 = 10131313537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 998950 + ... + 1009040.

Almost surely, 210131313545 is an apocalyptic number.

10131313545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10131313545 is a deficient number, since it is larger than the sum of its proper divisors (8801116983).

10131313545 is a wasteful number, since it uses less digits than its factorization.

10131313545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 10131313545 its reverse (54531313101), we get a palindrome (64662626646).

The spelling of 10131313545 in words is "ten billion, one hundred thirty-one million, three hundred thirteen thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 27 37 45 67 81 111 135 185 201 333 335 405 555 603 999 1005 1665 1809 2479 2997 3015 4995 5427 7437 9045 10091 12395 14985 22311 27135 30273 37185 50455 66933 90819 111555 151365 200799 272457 334665 373367 454095 676097 817371 1003995 1120101 1362285 1866835 2028291 3360303 3380485 4086855 5600505 6084873 10080909 10141455 16801515 18254619 25015589 30242727 30424365 50404545 54763857 75046767 91273095 125077945 151213635 225140301 273819285 375233835 675420903 1125701505 2026262709 3377104515 10131313545