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103130133300 = 223252373097001
BaseRepresentation
bin110000000001100001…
…0001111001100110100
3100212012022112120220200
41200003002033030310
53142202303231200
6115213300400500
710310442445365
oct1400302171464
9325168476820
10103130133300
113a8122a9627
1217ba20a6130
13995715831c
144dc4a5db6c
152a38e36800
hex180308f334

103130133300 has 108 divisors (see below), whose sum is σ = 331992420396. Its totient is φ = 26758080000.

The previous prime is 103130133287. The next prime is 103130133313. The reversal of 103130133300 is 3331031301.

103130133300 is a `hidden beast` number, since 1 + 0 + 31 + 301 + 3 + 330 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103130133287) and next prime (103130133313).

It can be written as a sum of positive squares in 6 ways, for example, as 8225424 + 103121907876 = 2868^2 + 321126^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1515201 + ... + 1581800.

Almost surely, 2103130133300 is an apocalyptic number.

103130133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103130133300 is an abundant number, since it is smaller than the sum of its proper divisors (228862287096).

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

103130133300 is a wasteful number, since it uses less digits than its factorization.

103130133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097058 (or 3097048 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103130133300 its reverse (3331031301), we get a palindrome (106461164601).

It can be divided in two parts, 1031301 and 33300, that added together give a palindrome (1064601).

The spelling of 103130133300 in words is "one hundred three billion, one hundred thirty million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 3097001 6194002 9291003 12388004 15485005 18582006 27873009 30970010 37164012 46455015 55746018 61940020 77425025 92910030 111492036 114589037 139365045 154850050 185820060 229178074 232275075 278730090 309700100 343767111 458356148 464550150 557460180 572945185 687534222 696825225 929100300 1031301333 1145890370 1375068444 1393650450 1718835555 2062602666 2291780740 2787300900 2864725925 3437671110 4125205332 5156506665 5729451850 6875342220 8594177775 10313013330 11458903700 17188355550 20626026660 25782533325 34376711100 51565066650 103130133300