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4012301000 = 23534197861
BaseRepresentation
bin1110111100100110…
…1101101011001000
3101100121212000020202
43233021231223020
531204122113000
61502045311332
7201266665361
oct35711555310
911317760222
104012301000
111779926144
1293b865548
134bc33a706
142a0c36b68
151873a4dd5
hexef26dac8

4012301000 has 64 divisors (see below), whose sum is σ = 9617877360. Its totient is φ = 1565760000.

The previous prime is 4012300997. The next prime is 4012301011. The reversal of 4012301000 is 1032104.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26399044 + 3985901956 = 5138^2 + 63134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7931 + ... + 89930.

Almost surely, 24012301000 is an apocalyptic number.

4012301000 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 4012301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808938680).

4012301000 is an abundant number, since it is smaller than the sum of its proper divisors (5605576360).

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

4012301000 is a wasteful number, since it uses less digits than its factorization.

4012301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97923 (or 97909 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4012301000 is about 63342.7264964179. The cubic root of 4012301000 is about 1589.0266051394.

Adding to 4012301000 its reverse (1032104), we get a palindrome (4013333104).

The spelling of 4012301000 in words is "four billion, twelve million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000 97861 195722 391444 489305 782888 978610 1957220 2446525 3914440 4012301 4893050 8024602 9786100 12232625 16049204 19572200 20061505 24465250 32098408 40123010 48930500 80246020 97861000 100307525 160492040 200615050 401230100 501537625 802460200 1003075250 2006150500 4012301000