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103120410420 = 22335197969359
BaseRepresentation
bin110000000001001110…
…1001001011100110100
3100212011122020121122000
41200002131021130310
53142142311113140
6115212312135300
710310264011656
oct1400235113464
9325148217560
10103120410420
113a807868695
1217b9a997530
139955132941
144dc364c6d6
152a38165a30
hex1802749734

103120410420 has 96 divisors (see below), whose sum is σ = 322447910400. Its totient is φ = 27359160192.

The previous prime is 103120410373. The next prime is 103120410431. The reversal of 103120410420 is 24014021301.

103120410420 is a `hidden beast` number, since 1 + 0 + 31 + 204 + 10 + 420 = 666.

103120410420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103120410393 and 103120410402.

It is a congruent number.

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, 378300 + ... + 591059.

It is an arithmetic number, because the mean of its divisors is an integer number (3358832400).

Almost surely, 2103120410420 is an apocalyptic number.

103120410420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103120410420 is an abundant number, since it is smaller than the sum of its proper divisors (219327499980).

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

103120410420 is a wasteful number, since it uses less digits than its factorization.

103120410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969574 (or 969566 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103120410420 its reverse (24014021301), we get a palindrome (127134431721).

The spelling of 103120410420 in words is "one hundred three billion, one hundred twenty million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1970 2364 2955 3546 3940 5319 5910 7092 8865 10638 11820 17730 21276 26595 35460 53190 106380 969359 1938718 2908077 3877436 4846795 5816154 8724231 9693590 11632308 14540385 17448462 19387180 26172693 29080770 34896924 43621155 52345386 58161540 87242310 104690772 130863465 174484620 190963723 261726930 381927446 523453860 572891169 763854892 954818615 1145782338 1718673507 1909637230 2291564676 2864455845 3437347014 3819274460 5156020521 5728911690 6874694028 8593367535 10312041042 11457823380 17186735070 20624082084 25780102605 34373470140 51560205210 103120410420