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103024403120 = 24541142322073
BaseRepresentation
bin101111111110010111…
…0111010001010110000
3100211220221120221101002
41133330232322022300
53141443221344440
6115155002301132
710305016656212
oct1377456721260
9324827527332
10103024403120
113a768653a11
1217b727b77a8
13993b2895a2
144db49ba5b2
152a2e9ee115
hex17fcbba2b0

103024403120 has 80 divisors (see below), whose sum is σ = 245557533312. Its totient is φ = 40174571520.

The previous prime is 103024403117. The next prime is 103024403129. The reversal of 103024403120 is 21304420301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1030244031202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103024403092 and 103024403101.

It is not an unprimeable number, because it can be changed into a prime (103024403129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4656404 + ... + 4678476.

Almost surely, 2103024403120 is an apocalyptic number.

103024403120 is a gapful number since it is divisible by the number (10) 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 103024403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122778766656).

103024403120 is an abundant number, since it is smaller than the sum of its proper divisors (142533130192).

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

103024403120 is a wasteful number, since it uses less digits than its factorization.

103024403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23550 (or 23544 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103024403120 its reverse (21304420301), we get a palindrome (124328823421).

The spelling of 103024403120 in words is "one hundred three billion, twenty-four million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1423 1640 2846 3280 5692 7115 11384 14230 22073 22768 28460 44146 56920 58343 88292 110365 113840 116686 176584 220730 233372 291715 353168 441460 466744 583430 882920 904993 933488 1166860 1765840 1809986 2333720 3619972 4524965 4667440 7239944 9049930 14479888 18099860 31409879 36199720 62819758 72399440 125639516 157049395 251279032 314098790 502558064 628197580 1256395160 1287805039 2512790320 2575610078 5151220156 6439025195 10302440312 12878050390 20604880624 25756100780 51512201560 103024403120