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312300331000332 = 22323181241142318229
BaseRepresentation
bin100011100000010010001011…
…0010010101110001000001100
31111221202121202000210021111020
41013000210112102232020030
5311413212034214002312
63024112442541554140
7122531645223050463
oct10700442622561014
91457677660707436
10312300331000332
1190565910219014
122b039a90b75950
1310534a4438648c
1457195b94b99da
1526189ad02278c
hex11c09164ae20c

312300331000332 has 192 divisors, whose sum is σ = 768338658447360. Its totient is φ = 98538293145600.

The previous prime is 312300331000303. The next prime is 312300331000369. The reversal of 312300331000332 is 233000133003213.

It is a super-2 number, since 2×3123003310003322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17132051394 + ... + 17132069622.

It is an arithmetic number, because the mean of its divisors is an integer number (4001763846080).

Almost surely, 2312300331000332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312300331000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384169329223680).

312300331000332 is an abundant number, since it is smaller than the sum of its proper divisors (456038327447028).

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

312300331000332 is a wasteful number, since it uses less digits than its factorization.

312300331000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20104 (or 20102 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 312300331000332 its reverse (233000133003213), we get a palindrome (545300464003545).

The spelling of 312300331000332 in words is "three hundred twelve trillion, three hundred billion, three hundred thirty-one million, three hundred thirty-two", and thus it is an aban number.