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312002212000 = 2553163478531
BaseRepresentation
bin1001000101001001100…
…01111111000010100000
31002211022222012120101111
410202210301333002200
520102440031241000
6355155402113104
731353464021143
oct4424461770240
91084288176344
10312002212000
11110357129876
1250574aab794
13235635891bb
141115b17805a
1581b1219cba
hex48a4c7f0a0

312002212000 has 96 divisors (see below), whose sum is σ = 771294049344. Its totient is φ = 124034976000.

The previous prime is 312002211991. The next prime is 312002212001. The reversal of 312002212000 is 212200213.

It is not an unprimeable number, because it can be changed into a prime (312002212001) 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, 412735 + ... + 891265.

It is an arithmetic number, because the mean of its divisors is an integer number (8034313014).

Almost surely, 2312002212000 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 312002212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385647024672).

312002212000 is an abundant number, since it is smaller than the sum of its proper divisors (459291837344).

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

312002212000 is a wasteful number, since it uses less digits than its factorization.

312002212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478719 (or 478701 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 312002212000 its reverse (212200213), we get a palindrome (312214412213).

The spelling of 312002212000 in words is "three hundred twelve billion, two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 163 200 250 326 400 500 652 800 815 1000 1304 1630 2000 2608 3260 4000 4075 5216 6520 8150 13040 16300 20375 26080 32600 40750 65200 81500 130400 163000 326000 478531 652000 957062 1914124 2392655 3828248 4785310 7656496 9570620 11963275 15312992 19141240 23926550 38282480 47853100 59816375 76564960 78000553 95706200 119632750 156001106 191412400 239265500 312002212 382824800 390002765 478531000 624004424 780005530 957062000 1248008848 1560011060 1914124000 1950013825 2496017696 3120022120 3900027650 6240044240 7800055300 9750069125 12480088480 15600110600 19500138250 31200221200 39000276500 62400442400 78000553000 156001106000 312002212000