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131103103120 = 24511225153959
BaseRepresentation
bin111101000011001011…
…0101001100010010000
3110112101210121200121221
41322012112221202100
54121444343244440
6140121122254424
712320566663303
oct1720626514220
9415353550557
10131103103120
1150667313900
12214aa1b7414
13c4945a0a82
1464b9bb4b3a
153624b0dd4a
hex1e865a9890

131103103120 has 120 divisors (see below), whose sum is σ = 336385344960. Its totient is φ = 47483040000.

The previous prime is 131103103093. The next prime is 131103103123. The reversal of 131103103120 is 21301301131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131103103094 and 131103103103.

It is not an unprimeable number, because it can be changed into a prime (131103103123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2402701 + ... + 2456659.

It is an arithmetic number, because the mean of its divisors is an integer number (2803211208).

Almost surely, 2131103103120 is an apocalyptic number.

131103103120 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 131103103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168192672480).

131103103120 is an abundant number, since it is smaller than the sum of its proper divisors (205282241840).

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

131103103120 is a wasteful number, since it uses less digits than its factorization.

131103103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54245 (or 54228 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131103103120 its reverse (21301301131), we get a palindrome (152404404251).

The spelling of 131103103120 in words is "one hundred thirty-one billion, one hundred three million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 251 440 484 502 605 880 968 1004 1210 1255 1936 2008 2420 2510 2761 4016 4840 5020 5522 9680 10040 11044 13805 20080 22088 27610 30371 44176 53959 55220 60742 107918 110440 121484 151855 215836 220880 242968 269795 303710 431672 485936 539590 593549 607420 863344 1079180 1187098 1214840 2158360 2374196 2429680 2967745 4316720 4748392 5935490 6529039 9496784 11870980 13058078 13543709 23741960 26116156 27087418 32645195 47483920 52232312 54174836 65290390 67718545 104464624 108349672 130580780 135437090 148980799 216699344 261161560 270874180 297961598 522323120 541748360 595923196 744903995 1083496720 1191846392 1489807990 1638788789 2383692784 2979615980 3277577578 5959231960 6555155156 8193943945 11918463920 13110310312 16387887890 26220620624 32775775780 65551551560 131103103120