Search a number
-
+
138340720100 = 2252111011245191
BaseRepresentation
bin1000000011010110111…
…1111101110111100100
3111020002012110201122002
42000311233331313210
54231310211020400
6143315225424432
712665132501402
oct2006557756744
9436065421562
10138340720100
1153740803640
122298a03b118
1310078ba1c7b
1469a5106472
1538ea212ed5
hex2035bfdde4

138340720100 has 72 divisors (see below), whose sum is σ = 330732956736. Its totient is φ = 49807600000.

The previous prime is 138340720099. The next prime is 138340720109. The reversal of 138340720100 is 1027043831.

It is not an unprimeable number, because it can be changed into a prime (138340720109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511496 + ... + 733695.

It is an arithmetic number, because the mean of its divisors is an integer number (4593513288).

Almost surely, 2138340720100 is an apocalyptic number.

138340720100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138340720100 is an abundant number, since it is smaller than the sum of its proper divisors (192392236636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138340720100 is a wasteful number, since it uses less digits than its factorization.

138340720100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245317 (or 1245310 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 138340720100 its reverse (1027043831), we get a palindrome (139367763931).

The spelling of 138340720100 in words is "one hundred thirty-eight billion, three hundred forty million, seven hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 1245191 2490382 4980764 6225955 12451910 13697101 24903820 27394202 31129775 54788404 62259550 68485505 124519100 125764291 136971010 251528582 273942020 342427525 503057164 628821455 684855050 1257642910 1369710100 1383407201 2515285820 2766814402 3144107275 5533628804 6288214550 6917036005 12576429100 13834072010 27668144020 34585180025 69170360050 138340720100