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312430201000 = 2353312430201
BaseRepresentation
bin1001000101111100100…
…10101000100010101000
31002212102210112122220221
410202332102220202220
520104324112413000
6355310051255424
731400211614401
oct4427622504250
91085383478827
10312430201000
11110556781295
12506742aa574
132360114a328
141119bd469a8
1581d8aab61a
hex48be4a88a8

312430201000 has 32 divisors (see below), whose sum is σ = 731086672680. Its totient is φ = 124972080000.

The previous prime is 312430200997. The next prime is 312430201007. The reversal of 312430201000 is 102034213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56873664324 + 255556536676 = 238482^2 + 505526^2 .

It is a super-2 number, since 2×3124302010002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312430201007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156214101 + ... + 156216100.

Almost surely, 2312430201000 is an apocalyptic number.

It is an amenable number.

312430201000 is an abundant number, since it is smaller than the sum of its proper divisors (418656471680).

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

312430201000 is a wasteful number, since it uses less digits than its factorization.

312430201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312430222 (or 312430208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312430201000 its reverse (102034213), we get a palindrome (312532235213).

The spelling of 312430201000 in words is "three hundred twelve billion, four hundred thirty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 312430201 624860402 1249720804 1562151005 2499441608 3124302010 6248604020 7810755025 12497208040 15621510050 31243020100 39053775125 62486040200 78107550250 156215100500 312430201000