Search a number
-
+
102014432102220 = 223511433594588869
BaseRepresentation
bin10111001100100000010101…
…111111001100011101001100
3111101012111002011201010122020
4113030200111333030131030
5101332401024104232340
61000544441053450140
730326204504403141
oct2714402577143514
9441174064633566
10102014432102220
112a561094457a70
12b5370b6aa0950
1344bcbc568a571
141b2974c2d83c8
15bbd9697d59d0
hex5cc815fcc74c

102014432102220 has 96 divisors (see below), whose sum is σ = 318854411124480. Its totient is φ = 24155637192960.

The previous prime is 102014432102207. The next prime is 102014432102227. The reversal of 102014432102220 is 22201234410201.

It is not an unprimeable number, because it can be changed into a prime (102014432102227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797266055 + ... + 1797322814.

It is an arithmetic number, because the mean of its divisors is an integer number (3321400115880).

Almost surely, 2102014432102220 is an apocalyptic number.

102014432102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102014432102220 is an abundant number, since it is smaller than the sum of its proper divisors (216839979022260).

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

102014432102220 is a wasteful number, since it uses less digits than its factorization.

102014432102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594588935 (or 3594588933 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102014432102220 its reverse (22201234410201), we get a palindrome (124215666512421).

The spelling of 102014432102220 in words is "one hundred two trillion, fourteen billion, four hundred thirty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 9460 14190 28380 3594588869 7189177738 10783766607 14378355476 17972944345 21567533214 35945888690 39540477559 43135066428 53918833035 71891777380 79080955118 107837666070 118621432677 154567321367 158161910236 197702387795 215675332140 237242865354 309134642734 395404775590 463701964101 474485730708 593107163385 618269285468 772836606835 790809551180 927403928202 1186214326770 1545673213670 1700240535037 1854807856404 2318509820505 2372428653540 3091346427340 3400481070074 4637019641010 5100721605111 6800962140148 8501202675185 9274039282020 10201443210222 17002405350370 20402886420444 25503608025555 34004810700740 51007216051110 102014432102220