Search a number
-
+
21323300033322 = 23371723731116963
BaseRepresentation
bin1001101100100101101111…
…01110010101001100101010
32210111111011102221021211000
410312102313232111030222
510243330104302031242
6113203442214215430
74330362152511510
oct466226756251452
983444142837730
1021323300033322
116881184a76111
122484722054576
13bb8a1767a331
1453a0a60b64b0
1526ea045d4a4c
hex1364b7b9532a

21323300033322 has 384 divisors, whose sum is σ = 59275614228480. Its totient is φ = 5560756945920.

The previous prime is 21323300033257. The next prime is 21323300033323. The reversal of 21323300033322 is 22333000332312.

21323300033322 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 300 + 0 + 33 + 322 = 666.

It is a super-2 number, since 2×213233000333222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21323300033323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1257039213 + ... + 1257056175.

It is an arithmetic number, because the mean of its divisors is an integer number (154363578720).

Almost surely, 221323300033322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21323300033322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29637807114240).

21323300033322 is an abundant number, since it is smaller than the sum of its proper divisors (37952314195158).

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

21323300033322 is a wasteful number, since it uses less digits than its factorization.

21323300033322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17363 (or 17340 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 21323300033322 its reverse (22333000332312), we get a palindrome (43656300365634).

The spelling of 21323300033322 in words is "twenty-one trillion, three hundred twenty-three billion, three hundred million, thirty-three thousand, three hundred twenty-two".