Search a number
-
+
106151560130 = 25721125776631
BaseRepresentation
bin110001011011100100…
…0000100001111000010
3101010222212212222100002
41202313020010033002
53214344244411010
6120433152200002
710445351242100
oct1426710041702
9333885788302
10106151560130
11410228742a0
12186a5b39002
13a019102555
1451d0042c70
152b6430e1a5
hex18b72043c2

106151560130 has 96 divisors (see below), whose sum is σ = 243421241472. Its totient is φ = 32957030400.

The previous prime is 106151560127. The next prime is 106151560139. The reversal of 106151560130 is 31065151601.

It is a super-2 number, since 2×1061515601302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106151560093 and 106151560102.

It is not an unprimeable number, because it can be changed into a prime (106151560139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1346915 + ... + 1423545.

It is an arithmetic number, because the mean of its divisors is an integer number (2535637932).

Almost surely, 2106151560130 is an apocalyptic number.

106151560130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106151560130 is an abundant number, since it is smaller than the sum of its proper divisors (137269681342).

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

106151560130 is a wasteful number, since it uses less digits than its factorization.

106151560130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76920 (or 76913 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The spelling of 106151560130 in words is "one hundred six billion, one hundred fifty-one million, five hundred sixty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 257 385 490 514 539 770 1078 1285 1799 2570 2695 2827 3598 5390 5654 8995 12593 14135 17990 19789 25186 28270 39578 62965 76631 98945 125930 138523 153262 197890 277046 383155 536417 692615 766310 842941 1072834 1385230 1685882 2682085 3754919 4214705 5364170 5900587 7509838 8429410 11801174 18774595 19694167 29502935 37549190 39388334 41304109 59005870 82608218 98470835 137859169 196941670 206520545 216635837 275718338 413041090 433271674 689295845 965014183 1083179185 1378591690 1516450859 1930028366 2166358370 3032901718 4825070915 7582254295 9650141830 10615156013 15164508590 21230312026 53075780065 106151560130