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2313213210000 = 243254711541617
BaseRepresentation
bin100001101010010110010…
…000000110110110010000
322012010210210202111022100
4201222112100012312100
5300344430040210000
64530401523040400
7326060402601510
oct41522620066620
98163723674270
102313213210000
11812034608350
12314396510100
1313a19a995924
147dd627bb840
154028a6a6a00
hex21a96406d90

2313213210000 has 1200 divisors, whose sum is σ = 10120805405568. Its totient is φ = 479001600000.

The previous prime is 2313213209999. The next prime is 2313213210023. The reversal of 2313213210000 is 123123132.

2313213210000 is a `hidden beast` number, since 23 + 1 + 321 + 321 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3749129692 + ... + 3749130308.

Almost surely, 22313213210000 is an apocalyptic number.

2313213210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313213210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060402702784).

2313213210000 is an abundant number, since it is smaller than the sum of its proper divisors (7807592195568).

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

2313213210000 is a wasteful number, since it uses less digits than its factorization.

2313213210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2313213210000 its reverse (123123132), we get a palindrome (2313336333132).

The spelling of 2313213210000 in words is "two trillion, three hundred thirteen billion, two hundred thirteen million, two hundred ten thousand".