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103102302300 = 223524127130931
BaseRepresentation
bin110000000000101100…
…0000100100001011100
3100212010101011121221220
41200001120010201130
53142123142133200
6115210424053340
710306654052424
oct1400130044134
9325111147856
10103102302300
113a7a861a7a8
1217b94904250
13995146268a
144dc1097484
152a3678a4a0
hex180160485c

103102302300 has 144 divisors (see below), whose sum is σ = 306722701824. Its totient is φ = 26723520000.

The previous prime is 103102302293. The next prime is 103102302319. The reversal of 103102302300 is 3203201301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103102302300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3317835 + ... + 3348765.

Almost surely, 2103102302300 is an apocalyptic number.

103102302300 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 103102302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153361350912).

103102302300 is an abundant number, since it is smaller than the sum of its proper divisors (203620399524).

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

103102302300 is a wasteful number, since it uses less digits than its factorization.

103102302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31260 (or 31253 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103102302300 its reverse (3203201301), we get a palindrome (106305503601).

The spelling of 103102302300 in words is "one hundred three billion, one hundred two million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 4065 4100 5420 6150 6775 8130 11111 12300 13550 16260 20325 22222 27100 30931 33333 40650 44444 55555 61862 66666 81300 92793 111110 123724 133332 154655 166665 185586 222220 277775 309310 333330 371172 463965 555550 618620 666660 773275 833325 927930 1111100 1268171 1546550 1666650 1855860 2319825 2536342 3093100 3333300 3804513 4639650 5072684 6340855 7609026 8382301 9279300 12681710 15218052 16764602 19022565 25146903 25363420 31704275 33529204 38045130 41911505 50293806 63408550 76090260 83823010 95112825 100587612 125734515 126817100 167646020 190225650 209557525 251469030 343674341 380451300 419115050 502938060 628672575 687348682 838230100 1031023023 1257345150 1374697364 1718371705 2062046046 2514690300 3436743410 4124092092 5155115115 6873486820 8591858525 10310230230 17183717050 20620460460 25775575575 34367434100 51551151150 103102302300