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103000210224 = 243191378091019
BaseRepresentation
bin101111111101101001…
…0100111101100110000
3100211212021001210221220
41133323102213230300
53141421023211344
6115152335545040
710304304225042
oct1377322475460
9324767053856
10103000210224
113a755a2a48a
1217b6668b180
139936268872
144db16bda92
152a2c820c19
hex17fb4a7b30

103000210224 has 160 divisors (see below), whose sum is σ = 282758688000. Its totient is φ = 32217403392.

The previous prime is 103000210217. The next prime is 103000210267. The reversal of 103000210224 is 422012000301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101079187 + ... + 101080205.

It is an arithmetic number, because the mean of its divisors is an integer number (1767241800).

Almost surely, 2103000210224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103000210224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141379344000).

103000210224 is an abundant number, since it is smaller than the sum of its proper divisors (179758477776).

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

103000210224 is a wasteful number, since it uses less digits than its factorization.

103000210224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103000210224 its reverse (422012000301), we get a palindrome (525012210525).

The spelling of 103000210224 in words is "one hundred three billion, two hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 137 152 228 274 304 411 456 548 809 822 912 1019 1096 1618 1644 2038 2192 2427 2603 3057 3236 3288 4076 4854 5206 6114 6472 6576 7809 8152 9708 10412 12228 12944 15371 15618 16304 19361 19416 20824 24456 30742 31236 38722 38832 41648 46113 48912 58083 61484 62472 77444 92226 110833 116166 122968 124944 139603 154888 184452 221666 232332 245936 279206 309776 332499 368904 418809 443332 464664 558412 664998 737808 824371 837618 886664 929328 1116824 1329996 1648742 1675236 1773328 2105827 2233648 2473113 2652457 2659992 3297484 3350472 4211654 4946226 5304914 5319984 6317481 6594968 6700944 7957371 8423308 9892452 10609828 12634962 13189936 15663049 15914742 16846616 19784904 21219656 25269924 31326098 31829484 33693232 39569808 42439312 46989147 50539848 62652196 63658968 93978294 101079696 112938827 125304392 127317936 187956588 225877654 250608784 338816481 375913176 451755308 677632962 751826352 903510616 1355265924 1807021232 2145837713 2710531848 4291675426 5421063696 6437513139 8583350852 12875026278 17166701704 25750052556 34333403408 51500105112 103000210224