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322130001320322 = 23134773103151193401
BaseRepresentation
bin100100100111110011011110…
…0010011001101100110000010
31120020120022211122200021020120
41021033212330103031212002
5314210234220314222242
63101040251334521110
7124565060505143526
oct11117467423154602
91506508748607216
10322130001320322
1193705625919448
1230166b51806196
1310a989621976a0
145979264c73d86
1527395196e71ec
hex124f9bc4cd982

322130001320322 has 512 divisors, whose sum is σ = 735676611231744. Its totient is φ = 93401579520000.

The previous prime is 322130001320299. The next prime is 322130001320341. The reversal of 322130001320322 is 223023100031223.

It is a junction number, because it is equal to n+sod(n) for n = 322130001320292 and 322130001320301.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 803316711322 + ... + 803316711722.

It is an arithmetic number, because the mean of its divisors is an integer number (1436868381312).

Almost surely, 2322130001320322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322130001320322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367838305615872).

322130001320322 is an abundant number, since it is smaller than the sum of its proper divisors (413546609911422).

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

322130001320322 is a wasteful number, since it uses less digits than its factorization.

322130001320322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 322130001320322 its reverse (223023100031223), we get a palindrome (545153101351545).

The spelling of 322130001320322 in words is "three hundred twenty-two trillion, one hundred thirty billion, one million, three hundred twenty thousand, three hundred twenty-two".