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103130306100 = 223252671710287
BaseRepresentation
bin110000000001100001…
…0111001011000110100
3100212012022212100221200
41200003002321120310
53142202324243400
6115213304212500
710310444065233
oct1400302713064
9325168770850
10103130306100
113a812407438
1217ba216a130
1399571b8b83
144dc4aa6b1a
152a38e6cb00
hex18030b9634

103130306100 has 108 divisors (see below), whose sum is σ = 328081126464. Its totient is φ = 27090930240.

The previous prime is 103130306099. The next prime is 103130306107. The reversal of 103130306100 is 1603031301.

103130306100 is a `hidden beast` number, since 10 + 3 + 13 + 0 + 30 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103130306107) 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, 794844 + ... + 915443.

It is an arithmetic number, because the mean of its divisors is an integer number (3037788208).

Almost surely, 2103130306100 is an apocalyptic number.

103130306100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103130306100 is an abundant number, since it is smaller than the sum of its proper divisors (224950820364).

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

103130306100 is a wasteful number, since it uses less digits than its factorization.

103130306100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710374 (or 1710364 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103130306100 its reverse (1603031301), we get a palindrome (104733337401).

The spelling of 103130306100 in words is "one hundred three billion, one hundred thirty million, three hundred six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 67 75 90 100 134 150 180 201 225 268 300 335 402 450 603 670 804 900 1005 1206 1340 1675 2010 2412 3015 3350 4020 5025 6030 6700 10050 12060 15075 20100 30150 60300 1710287 3420574 5130861 6841148 8551435 10261722 15392583 17102870 20523444 25654305 30785166 34205740 42757175 51308610 61570332 76962915 85514350 102617220 114589229 128271525 153925830 171028700 229178458 256543050 307851660 343767687 384814575 458356916 513086100 572946145 687535374 769629150 1031303061 1145892290 1375070748 1539258300 1718838435 2062606122 2291784580 2864730725 3437676870 4125212244 5156515305 5729461450 6875353740 8594192175 10313030610 11458922900 17188384350 20626061220 25782576525 34376768700 51565153050 103130306100