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103000300011 = 32725397181251
BaseRepresentation
bin101111111101101001…
…0111101100111101011
3100211212021020101010100
41133323102331213223
53141421034100021
6115152341520443
710304305050600
oct1377322754753
9324767211110
10103000300011
113a755a90994
1217b66713123
13993629a6ab
144db17046a7
152a2c83c626
hex17fb4bd9eb

103000300011 has 144 divisors (see below), whose sum is σ = 179849805408. Its totient is φ = 56609280000.

The previous prime is 103000300001. The next prime is 103000300057. The reversal of 103000300011 is 110003000301.

It is not a de Polignac number, because 103000300011 - 25 = 103000299979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 103000299966 and 103000300002.

It is not an unprimeable number, because it can be changed into a prime (103000300001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 410359636 + ... + 410359886.

It is an arithmetic number, because the mean of its divisors is an integer number (1248956982).

Almost surely, 2103000300011 is an apocalyptic number.

103000300011 is a deficient number, since it is larger than the sum of its proper divisors (76849505397).

103000300011 is a wasteful number, since it uses less digits than its factorization.

103000300011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 103000300011 its reverse (110003000301), we get a palindrome (213003300312).

The spelling of 103000300011 in words is "one hundred three billion, three hundred thousand, eleven".

Divisors: 1 3 7 9 21 49 53 63 97 147 159 181 251 291 371 441 477 543 679 753 873 1113 1267 1629 1757 2037 2259 2597 3339 3801 4753 5141 5271 6111 7791 8869 9593 11403 12299 13303 14259 15423 15813 17557 23373 24347 26607 28779 35987 36897 39909 42777 45431 46269 52671 67151 73041 79821 86337 93121 107961 110691 119727 122899 136293 158013 170429 201453 219123 251909 279363 318017 323883 368697 408879 470057 511287 604359 651847 755727 838089 860293 930521 954051 1106091 1193003 1290391 1410171 1533861 1955541 2226119 2267181 2407843 2580879 2791563 2862153 3579009 3871173 4230513 4406807 5866623 6513647 6678357 7223529 7742637 8374689 9032737 10737027 11613519 13220421 16854901 19540941 20035071 21670587 27098211 30847649 39661263 45595529 50564703 58622823 63229159 81294633 92542947 117984307 136786587 151694109 189687477 215933543 233560771 277628841 353952921 410359761 569062431 647800629 700682313 1061858763 1634925397 1943401887 2102046939 4904776191 11444477779 14714328573 34333433337 103000300011