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103023131232 = 25371214912619
BaseRepresentation
bin101111111110010101…
…0000011101001100000
3100211220212012022200010
41133330222003221200
53141442410144412
6115154515124520
710305003111120
oct1377452035140
9324825168603
10103023131232
113a76796536a
1217b722a3740
13993ac326a8
144db4768c80
152a2e84c33c
hex17fca83a60

103023131232 has 96 divisors (see below), whose sum is σ = 309119328000. Its totient is φ = 29430425088.

The previous prime is 103023131209. The next prime is 103023131249. The reversal of 103023131232 is 232131320301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1030231312322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103023131199 and 103023131208.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8157819 + ... + 8170437.

It is an arithmetic number, because the mean of its divisors is an integer number (3219993000).

Almost surely, 2103023131232 is an apocalyptic number.

103023131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103023131232 is an abundant number, since it is smaller than the sum of its proper divisors (206096196768).

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

103023131232 is a wasteful number, since it uses less digits than its factorization.

103023131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24788 (or 24780 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103023131232 its reverse (232131320301), we get a palindrome (335154451533).

The spelling of 103023131232 in words is "one hundred three billion, twenty-three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 12149 12619 24298 25238 36447 37857 48596 50476 72894 75714 85043 88333 97192 100952 145788 151428 170086 176666 194384 201904 255129 264999 291576 302856 340172 353332 388768 403808 510258 529998 583152 605712 680344 706664 1020516 1059996 1166304 1211424 1360688 1413328 2041032 2119992 2721376 2826656 4082064 4239984 8164128 8479968 153308231 306616462 459924693 613232924 919849386 1073157617 1226465848 1839698772 2146315234 2452931696 3219472851 3679397544 4292630468 4905863392 6438945702 7358795088 8585260936 12877891404 14717590176 17170521872 25755782808 34341043744 51511565616 103023131232