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103000345224 = 23371976774597
BaseRepresentation
bin101111111101101001…
…1001000101010001000
3100211212021022200010220
41133323103020222020
53141421042021344
6115152342510040
710304305326450
oct1377323105210
9324767280126
10103000345224
113a756011957
1217b66735320
1399362b514a
144db1716d60
152a2c84ac19
hex17fb4c8a88

103000345224 has 128 divisors (see below), whose sum is σ = 296281877760. Its totient is φ = 29229677568.

The previous prime is 103000345223. The next prime is 103000345237. The reversal of 103000345224 is 422543000301.

It is a super-2 number, since 2×1030003452242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103000345194 and 103000345203.

It is not an unprimeable number, because it can be changed into a prime (103000345223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22403694 + ... + 22408290.

It is an arithmetic number, because the mean of its divisors is an integer number (2314702170).

Almost surely, 2103000345224 is an apocalyptic number.

103000345224 is a gapful number since it is divisible by the number (14) 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 103000345224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148140938880).

103000345224 is an abundant number, since it is smaller than the sum of its proper divisors (193281532536).

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

103000345224 is a wasteful number, since it uses less digits than its factorization.

103000345224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 103000345224 its reverse (422543000301), we get a palindrome (525543345525).

The spelling of 103000345224 in words is "one hundred three billion, three hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 197 394 591 677 788 1182 1354 1379 1576 2031 2364 2708 2758 4062 4137 4597 4728 4739 5416 5516 8124 8274 9194 9478 11032 13791 14217 16248 16548 18388 18956 27582 28434 32179 33096 36776 37912 55164 56868 64358 96537 110328 113736 128716 133369 193074 257432 266738 386148 400107 533476 772296 800214 905609 933583 1066952 1600428 1811218 1867166 2716827 2800749 3112169 3200856 3622436 3734332 5433654 5601498 6224338 6339263 7244872 7468664 9336507 10867308 11202996 12448676 12678526 18673014 19017789 21734616 21785183 22405992 24897352 25357052 37346028 38035578 43570366 50714104 65355549 74692056 76071156 87140732 130711098 152142312 174281464 261422196 522844392 613097293 1226194586 1839291879 2452389172 3678583758 4291681051 4904778344 7357167516 8583362102 12875043153 14714335032 17166724204 25750086306 34333448408 51500172612 103000345224