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312000002031 = 31013329309313
BaseRepresentation
bin1001000101001001010…
…01100011011111101111
31002211022211001021212210
410202210221203133233
520102434000031111
6355155242501503
731353436155114
oct4424451433757
91084284037783
10312000002031
1111035595a453
1250574204893
1323562c94323
141115ab6090b
1581b0e300a6
hex48a4a637ef

312000002031 has 16 divisors (see below), whose sum is σ = 420246372960. Its totient is φ = 205878067200.

The previous prime is 312000001997. The next prime is 312000002033. The reversal of 312000002031 is 130200000213.

It is a happy number.

It is not a de Polignac number, because 312000002031 - 29 = 312000001519 is a prime.

It is a super-3 number, since 3×3120000020313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 312000001998 and 312000002016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312000002033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854031 + ... + 1163343.

It is an arithmetic number, because the mean of its divisors is an integer number (26265398310).

Almost surely, 2312000002031 is an apocalyptic number.

312000002031 is a deficient number, since it is larger than the sum of its proper divisors (108246370929).

312000002031 is a wasteful number, since it uses less digits than its factorization.

312000002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312746.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 312000002031 its reverse (130200000213), we get a palindrome (442200002244).

The spelling of 312000002031 in words is "three hundred twelve billion, two thousand, thirty-one".

Divisors: 1 3 101 303 3329 9987 309313 336229 927939 1008687 31240613 93721839 1029702977 3089108931 104000000677 312000002031