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103130101200 = 24352712277393
BaseRepresentation
bin110000000001100001…
…0000111010111010000
3100212012022110221212210
41200003002013113100
53142202301214300
6115213255552120
710310442252660
oct1400302072720
9325168427783
10103130101200
113a8122874a5
1217ba208b640
139957146829
144dc4a521a0
152a38e2c050
hex18030875d0

103130101200 has 120 divisors (see below), whose sum is σ = 377554420288. Its totient is φ = 23572592640.

The previous prime is 103130101177. The next prime is 103130101247. The reversal of 103130101200 is 2101031301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 6130297 + ... + 6147096.

Almost surely, 2103130101200 is an apocalyptic number.

103130101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103130101200 is an abundant number, since it is smaller than the sum of its proper divisors (274424319088).

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

103130101200 is a wasteful number, since it uses less digits than its factorization.

103130101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277421 (or 12277410 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103130101200 its reverse (2101031301), we get a palindrome (105231132501).

The spelling of 103130101200 in words is "one hundred three billion, one hundred thirty million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 12277393 24554786 36832179 49109572 61386965 73664358 85941751 98219144 122773930 147328716 171883502 184160895 196438288 245547860 257825253 294657432 306934825 343767004 368321790 429708755 491095720 515650506 589314864 613869650 687534008 736643580 859417510 920804475 982191440 1031301012 1227739300 1289126265 1375068016 1473287160 1718835020 1841608950 2062602024 2148543775 2455478600 2578252530 2946574320 3437670040 3683217900 4125204048 4297087550 4910957200 5156505060 6445631325 6875340080 7366435800 8594175100 10313010120 12891262650 14732871600 17188350200 20626020240 25782525300 34376700400 51565050600 103130101200