Search a number
-
+
20101125305030 = 25711173187348179
BaseRepresentation
bin1001001001000001010000…
…11011101111001011000110
32122011122111222120021012112
410210200220123233023012
510113314101034230110
6110430155100221022
74143154423646030
oct444405033571306
978148458507175
1020101125305030
11644a9262214a0
12230789623a772
13b2a6b2c94133
144d6c84926c50
1524cd22ca4405
hex1248286ef2c6

20101125305030 has 128 divisors (see below), whose sum is σ = 47766080609280. Its totient is φ = 5896432189440.

The previous prime is 20101125305003. The next prime is 20101125305033. The reversal of 20101125305030 is 3050352110102.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20101125304987 and 20101125305005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101125305033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417193481 + ... + 417241659.

It is an arithmetic number, because the mean of its divisors is an integer number (373172504760).

Almost surely, 220101125305030 is an apocalyptic number.

20101125305030 is an abundant number, since it is smaller than the sum of its proper divisors (27664955304250).

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

20101125305030 is a wasteful number, since it uses less digits than its factorization.

20101125305030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80094.

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 20101125305030 its reverse (3050352110102), we get a palindrome (23151477415132).

The spelling of 20101125305030 in words is "twenty trillion, one hundred one billion, one hundred twenty-five million, three hundred five thousand, thirty".

Divisors: 1 2 5 7 10 11 14 17 22 34 35 55 70 77 85 110 119 154 170 187 238 374 385 595 770 935 1190 1309 1870 2618 6545 13090 31873 48179 63746 96358 159365 223111 240895 318730 337253 350603 446222 481790 529969 541841 674506 701206 819043 1059938 1083682 1115555 1638086 1686265 1753015 2231110 2454221 2649845 2709205 3372530 3506030 3709783 3792887 4095215 4908442 5299690 5418410 5733301 5960251 7419566 7585774 8190430 9009473 11466602 11920502 12271105 18018946 18548915 18964435 24542210 28666505 29801255 37097830 37928870 41721757 45047365 57333010 59602510 63066311 83443514 90094730 126132622 208608785 315331555 417217570 630663110 1535609267 3071218534 7678046335 10749264869 15356092670 16891701937 21498529738 26105357539 33783403874 52210715078 53746324345 84458509685 107492648690 118241913559 130526787695 168917019370 182737502773 236483827118 261053575390 287158932929 365475005546 574317865858 591209567795 913687513865 1182419135590 1435794664645 1827375027730 2010112530503 2871589329290 4020225061006 10050562652515 20101125305030