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103131310100 = 225271311333111
BaseRepresentation
bin110000000001100011…
…0101110100000010100
3100212012101202101011212
41200003012232200110
53142203103410400
6115213341520552
710310455446320
oct1400306564024
9325171671155
10103131310100
113a812a32795
1217ba2573158
13995747ab60
144dc4c88980
152a390ba335
hex18031ae814

103131310100 has 72 divisors (see below), whose sum is σ = 275439954048. Its totient is φ = 32639356800.

The previous prime is 103131310099. The next prime is 103131310103. The reversal of 103131310100 is 1013131301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103131310103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5657456 + ... + 5675655.

Almost surely, 2103131310100 is an apocalyptic number.

103131310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103131310100 is an abundant number, since it is smaller than the sum of its proper divisors (172308643948).

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

103131310100 is a wasteful number, since it uses less digits than its factorization.

103131310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333145 (or 11333138 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 103131310100 its reverse (1013131301), we get a palindrome (104144441401).

The spelling of 103131310100 in words is "one hundred three billion, one hundred thirty-one million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 11333111 22666222 45332444 56665555 79331777 113331110 147330443 158663554 226662220 283327775 294660886 317327108 396658885 566655550 589321772 736652215 793317770 1031313101 1133311100 1473304430 1586635540 1983294425 2062626202 2946608860 3683261075 3966588850 4125252404 5156565505 7366522150 7933177700 10313131010 14733044300 20626262020 25782827525 51565655050 103131310100