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1312100010 = 2325131121453
BaseRepresentation
bin100111000110101…
…0000111010101010
310101102221120211200
41032031100322222
510141344200020
6334110505030
744341444314
oct11615207252
93342846750
101312100010
11613712181
12307505176
1317bab3650
14c63907b4
157a2d0590
hex4e350eaa

1312100010 has 48 divisors (see below), whose sum is σ = 3673883304. Its totient is φ = 322978176.

The previous prime is 1312100003. The next prime is 1312100047. The reversal of 1312100010 is 100012131.

It can be written as a sum of positive squares in 4 ways, for example, as 803552409 + 508547601 = 28347^2 + 22551^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1312099965 and 1312100001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559557 + ... + 561896.

Almost surely, 21312100010 is an apocalyptic number.

1312100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312100010 is an abundant number, since it is smaller than the sum of its proper divisors (2361783294).

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

1312100010 is a wasteful number, since it uses less digits than its factorization.

1312100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121479 (or 1121476 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1312100010 is about 36222.9210583575. The cubic root of 1312100010 is about 1094.7685505692.

Adding to 1312100010 its reverse (100012131), we get a palindrome (1412112141).

The spelling of 1312100010 in words is "one billion, three hundred twelve million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1121453 2242906 3364359 5607265 6728718 10093077 11214530 14578889 16821795 20186154 29157778 33643590 43736667 50465385 72894445 87473334 100930770 131210001 145788890 218683335 262420002 437366670 656050005 1312100010