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10410312420 = 22325193043951
BaseRepresentation
bin10011011001000000…
…01100001011100100
3222212111211122221200
421230200030023210
5132310014444140
64441001042500
7515656124034
oct115440141344
928774748850
1010410312420
114462393892
122026486430
13c9b9cc8a1
1470a84d8c4
1540de0c030
hex26c80c2e4

10410312420 has 72 divisors (see below), whose sum is σ = 33239955840. Its totient is φ = 2629972800.

The previous prime is 10410312413. The next prime is 10410312421. The reversal of 10410312420 is 2421301401.

10410312420 is a `hidden beast` number, since 10 + 410 + 3 + 1 + 242 + 0 = 666.

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 = 10410312393 and 10410312402.

It is not an unprimeable number, because it can be changed into a prime (10410312421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1518556 + ... + 1525395.

Almost surely, 210410312420 is an apocalyptic number.

10410312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10410312420 is an abundant number, since it is smaller than the sum of its proper divisors (22829643420).

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

10410312420 is a wasteful number, since it uses less digits than its factorization.

10410312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043985 (or 3043980 counting only the distinct ones).

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

Adding to 10410312420 its reverse (2421301401), we get a palindrome (12831613821).

The spelling of 10410312420 in words is "ten billion, four hundred ten million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 3043951 6087902 9131853 12175804 15219755 18263706 27395559 30439510 36527412 45659265 54791118 57835069 60879020 91318530 109582236 115670138 136977795 173505207 182637060 231340276 273955590 289175345 347010414 520515621 547911180 578350690 694020828 867526035 1041031242 1156701380 1735052070 2082062484 2602578105 3470104140 5205156210 10410312420