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412304101000 = 235311269139339
BaseRepresentation
bin1011111111111110011…
…11010100111010001000
31110102020011220110111021
411333333033110322020
523223344322213000
6513224311442224
741534165014411
oct5777717247210
91412204813437
10412304101000
11149947a09610
1267aa7986374
132cb597a848c
1415d54340808
15aad1bd811a
hex5fff3d4e88

412304101000 has 128 divisors (see below), whose sum is σ = 1056420144000. Its totient is φ = 149370336000.

The previous prime is 412304100991. The next prime is 412304101009. The reversal of 412304101000 is 101403214.

It is an interprime number because it is at equal distance from previous prime (412304100991) and next prime (412304101009).

It is not an unprimeable number, because it can be changed into a prime (412304101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2889331 + ... + 3028669.

It is an arithmetic number, because the mean of its divisors is an integer number (8253282375).

Almost surely, 2412304101000 is an apocalyptic number.

412304101000 is a gapful number since it is divisible by the number (40) 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 412304101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528210072000).

412304101000 is an abundant number, since it is smaller than the sum of its proper divisors (644116043000).

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

412304101000 is a wasteful number, since it uses less digits than its factorization.

412304101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139640 (or 139626 counting only the distinct ones).

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

Adding to 412304101000 its reverse (101403214), we get a palindrome (412405504214).

The spelling of 412304101000 in words is "four hundred twelve billion, three hundred four million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 269 275 440 500 538 550 1000 1076 1100 1345 1375 2152 2200 2690 2750 2959 5380 5500 5918 6725 10760 11000 11836 13450 14795 23672 26900 29590 33625 53800 59180 67250 73975 118360 134500 139339 147950 269000 278678 295900 369875 557356 591800 696695 739750 1114712 1393390 1479500 1532729 2786780 2959000 3065458 3483475 5573560 6130916 6966950 7663645 12261832 13933900 15327290 17417375 27867800 30654580 34834750 37482191 38318225 61309160 69669500 74964382 76636450 139339000 149928764 153272900 187410955 191591125 299857528 306545800 374821910 383182250 412304101 749643820 766364500 824608202 937054775 1499287640 1532729000 1649216404 1874109550 2061520505 3298432808 3748219100 4123041010 4685273875 7496438200 8246082020 9370547750 10307602525 16492164040 18741095500 20615205050 37482191000 41230410100 51538012625 82460820200 103076025250 206152050500 412304101000