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103024244340 = 223254491274737
BaseRepresentation
bin101111111110010111…
…0010011011001110100
3100211220221021212120100
41133330232103121310
53141443201304330
6115154555034100
710305015425253
oct1377456233164
9324827255510
10103024244340
113a768555696
1217b7273b930
13993b232234
144db497879a
152a2e9bc060
hex17fcb93674

103024244340 has 72 divisors (see below), whose sum is σ = 313203126600. Its totient is φ = 27411922944.

The previous prime is 103024244291. The next prime is 103024244341. The reversal of 103024244340 is 43442420301.

It is a happy number.

103024244340 is a `hidden beast` number, since 10 + 30 + 242 + 44 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1158585444 + 101865658896 = 34038^2 + 319164^2 .

It is a super-2 number, since 2×1030242443402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103024244341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556549 + ... + 718188.

It is an arithmetic number, because the mean of its divisors is an integer number (4350043425).

Almost surely, 2103024244340 is an apocalyptic number.

103024244340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103024244340 is an abundant number, since it is smaller than the sum of its proper divisors (210178882260).

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

103024244340 is a wasteful number, since it uses less digits than its factorization.

103024244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275201 (or 1275196 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 103024244340 its reverse (43442420301), we get a palindrome (146466664641).

The spelling of 103024244340 in words is "one hundred three billion, twenty-four million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1347 1796 2245 2694 4041 4490 5388 6735 8082 8980 13470 16164 20205 26940 40410 80820 1274737 2549474 3824211 5098948 6373685 7648422 11472633 12747370 15296844 19121055 22945266 25494740 38242110 45890532 57363165 76484220 114726330 229452660 572356913 1144713826 1717070739 2289427652 2861784565 3434141478 5151212217 5723569130 6868282956 8585353695 10302424434 11447138260 17170707390 20604848868 25756061085 34341414780 51512122170 103024244340