Search a number
-
+
103132002100 = 22525095213889
BaseRepresentation
bin110000000001100100…
…1010111011100110100
3100212012110001112102111
41200003021113130310
53142203243031400
6115213404420404
710310464360651
oct1400311273464
9325173045374
10103132002100
113a813365696
1217ba2847704
139957660b1a
144dc4dc8c28
152a391a53ba
hex1803257734

103132002100 has 72 divisors (see below), whose sum is σ = 224724288600. Its totient is φ = 41082163200.

The previous prime is 103132002073. The next prime is 103132002163. The reversal of 103132002100 is 1200231301.

It can be written as a sum of positive squares in 12 ways, for example, as 12724742416 + 90407259684 = 112804^2 + 300678^2 .

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, 26516956 + ... + 26520844.

It is an arithmetic number, because the mean of its divisors is an integer number (3121170675).

Almost surely, 2103132002100 is an apocalyptic number.

103132002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132002100 is an abundant number, since it is smaller than the sum of its proper divisors (121592286500).

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

103132002100 is a wasteful number, since it uses less digits than its factorization.

103132002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103132002100 its reverse (1200231301), we get a palindrome (104332233401).

The spelling of 103132002100 in words is "one hundred three billion, one hundred thirty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 509 521 1018 1042 2036 2084 2545 2605 3889 5090 5210 7778 10180 10420 12725 13025 15556 19445 25450 26050 38890 50900 52100 77780 97225 194450 265189 388900 530378 1060756 1325945 1979501 2026169 2651890 3959002 4052338 5303780 6629725 7918004 8104676 9897505 10130845 13259450 19795010 20261690 26518900 39590020 40523380 49487525 50654225 98975050 101308450 197950100 202616900 1031320021 2062640042 4125280084 5156600105 10313200210 20626400420 25783000525 51566001050 103132002100