Search a number
-
+
102100212221020 = 22513236793821003
BaseRepresentation
bin10111001101110000001110…
…111000011000010001011100
3111101111200111100010200000021
4113031300032320120101130
5101340302213312033040
61001052105011241524
730335332303363066
oct2715601670302134
9441450440120007
10102100212221020
112a594503062932
12b54b8565a92a4
1344c8016162800
141b2d9689a6736
15bc0cda45724a
hex5cdc0ee1845c

102100212221020 has 72 divisors (see below), whose sum is σ = 232178850758736. Its totient is φ = 37697469368832.

The previous prime is 102100212220961. The next prime is 102100212221087. The reversal of 102100212221020 is 20122212001201.

It is a happy number.

It is a super-2 number, since 2×1021002122210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102100212220985 and 102100212221003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123949839 + ... + 124770841.

It is an arithmetic number, because the mean of its divisors is an integer number (3224706260538).

Almost surely, 2102100212221020 is an apocalyptic number.

102100212221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100212221020 is an abundant number, since it is smaller than the sum of its proper divisors (130078638537716).

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

102100212221020 is a wasteful number, since it uses less digits than its factorization.

102100212221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857831 (or 857816 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102100212221020 its reverse (20122212001201), we get a palindrome (122222424222221).

The spelling of 102100212221020 in words is "one hundred two trillion, one hundred billion, two hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 36793 73586 147172 183965 367930 478309 735860 821003 956618 1642006 1913236 2391545 3284012 4105015 4783090 6218017 8210030 9566180 10673039 12436034 16420060 21346078 24872068 31090085 42692156 53365195 62180170 106730390 124360340 138749507 213460780 277499014 554998028 693747535 1387495070 2774990140 30207163379 60414326758 120828653516 151035816895 302071633790 392693123927 604143267580 785386247854 1570772495708 1963465619635 3926931239270 5105010611051 7853862478540 10210021222102 20420042444204 25525053055255 51050106110510 102100212221020