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103103100 = 2232521091051
BaseRepresentation
bin1100010010100…
…11101001111100
321012000011212100
412021103221330
5202343244400
614121505100
72361235062
oct611235174
9235004770
10103103100
1153220981
122a642190
131848c069
14d99c032
1590b9100
hex6253a7c

103103100 has 108 divisors (see below), whose sum is σ = 326446120. Its totient is φ = 27216000.

The previous prime is 103103081. The next prime is 103103107. The reversal of 103103100 is 1301301.

It is a super-2 number, since 2×1031031002 = 21260498459220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103103107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97575 + ... + 98625.

Almost surely, 2103103100 is an apocalyptic number.

103103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163223060).

103103100 is an abundant number, since it is smaller than the sum of its proper divisors (223343020).

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

103103100 is a wasteful number, since it uses less digits than its factorization.

103103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 103103100 is about 10153.9696670809. The cubic root of 103103100 is about 468.9111659148.

Adding to 103103100 its reverse (1301301), we get a palindrome (104404401).

The spelling of 103103100 in words is "one hundred three million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 545 654 900 981 1051 1090 1308 1635 1962 2102 2180 2725 3153 3270 3924 4204 4905 5255 5450 6306 6540 8175 9459 9810 10510 10900 12612 15765 16350 18918 19620 21020 24525 26275 31530 32700 37836 47295 49050 52550 63060 78825 94590 98100 105100 114559 157650 189180 229118 236475 315300 343677 458236 472950 572795 687354 945900 1031031 1145590 1374708 1718385 2062062 2291180 2863975 3436770 4124124 5155155 5727950 6873540 8591925 10310310 11455900 17183850 20620620 25775775 34367700 51551550 103103100