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10412041003000 = 2353713114418033
BaseRepresentation
bin1001011110000011111000…
…0000010101111111111000
31100212101022001001221201021
42113200332000111333320
52331042324444044000
634051120421432224
72123150040155320
oct227407600257770
940771261057637
1010412041003000
1133547a378316a
121201b0b56b674
135a6b0b2865c0
1427dd34544280
15130c939ab11a
hex9783e015ff8

10412041003000 has 128 divisors (see below), whose sum is σ = 29986678350720. Its totient is φ = 3295239321600.

The previous prime is 10412041002997. The next prime is 10412041003073. The reversal of 10412041003000 is 30014021401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57118017 + ... + 57300016.

It is an arithmetic number, because the mean of its divisors is an integer number (234270924615).

Almost surely, 210412041003000 is an apocalyptic number.

10412041003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412041003000 is an abundant number, since it is smaller than the sum of its proper divisors (19574637347720).

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

10412041003000 is a wasteful number, since it uses less digits than its factorization.

10412041003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114418074 (or 114418060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10412041003000 its reverse (30014021401), we get a palindrome (10442055024401).

The spelling of 10412041003000 in words is "ten trillion, four hundred twelve billion, forty-one million, three thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 114418033 228836066 457672132 572090165 800926231 915344264 1144180330 1487434429 1601852462 2288360660 2860450825 2974868858 3203704924 4004631155 4576721320 5720901650 5949737716 6407409848 7437172145 8009262310 10412041003 11441803300 11899475432 14302254125 14874344290 16018524620 20023155775 20824082006 22883606600 28604508250 29748688580 32037049240 37185860725 40046311550 41648164012 52060205015 57209016500 59497377160 74371721450 80092623100 83296328024 100115778875 104120410030 114418033000 148743442900 160185246200 185929303625 200231557750 208240820060 260301025075 297486885800 371858607250 400463115500 416481640120 520602050150 743717214500 800926231000 1041204100300 1301505125375 1487434429000 2082408200600 2603010250750 5206020501500 10412041003000