Search a number
-
+
102100020000220 = 225113209144621689
BaseRepresentation
bin10111001101110000000011…
…011011000111010111011100
3111101111122222221102211122101
4113031300003123013113130
5101340301320110001340
61001052033543254444
730335324450465434
oct2715600333072734
9441448887384571
10102100020000220
112a594414603570
12b54b80214a424
1344c7cb53a02a8
141b2d94b24b2c4
15bc0cc8637c9a
hex5cdc036c75dc

102100020000220 has 48 divisors (see below), whose sum is σ = 233974754949600. Its totient is φ = 37115710008320.

The previous prime is 102100020000161. The next prime is 102100020000221. The reversal of 102100020000220 is 22000020001201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102100020000197 and 102100020000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100020000221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71604865 + ... + 73016824.

It is an arithmetic number, because the mean of its divisors is an integer number (4874474061450).

Almost surely, 2102100020000220 is an apocalyptic number.

102100020000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100020000220 is an abundant number, since it is smaller than the sum of its proper divisors (131874734949380).

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

102100020000220 is a wasteful number, since it uses less digits than its factorization.

102100020000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144624918 (or 144624916 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102100020000220 its reverse (22000020001201), we get a palindrome (124100040001421).

The spelling of 102100020000220 in words is "one hundred two trillion, one hundred billion, twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 3209 6418 12836 16045 32090 35299 64180 70598 141196 176495 352990 705980 144621689 289243378 578486756 723108445 1446216890 1590838579 2892433780 3181677158 6363354316 7954192895 15908385790 31816771580 464091000001 928182000002 1856364000004 2320455000005 4640910000010 5105001000011 9281820000020 10210002000022 20420004000044 25525005000055 51050010000110 102100020000220