Search a number
-
+
23322102120 = 23335172355229
BaseRepresentation
bin10101101110000110…
…110000100101101000
32020012100122112122000
4111232012300211220
5340230424231440
614414121331000
71453641411552
oct255606604550
966170575560
1023322102120
11998879a569
12462a636a60
132278a28135
1411b35b64d2
15917737730
hex56e1b0968

23322102120 has 256 divisors, whose sum is σ = 85893696000. Its totient is φ = 5598793728.

The previous prime is 23322102109. The next prime is 23322102131. The reversal of 23322102120 is 2120122332.

23322102120 is a `hidden beast` number, since 2 + 332 + 210 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (23322102109) and next prime (23322102131).

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

It is a junction number, because it is equal to n+sod(n) for n = 23322102093 and 23322102102.

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, 394666 + ... + 449894.

It is an arithmetic number, because the mean of its divisors is an integer number (335522250).

Almost surely, 223322102120 is an apocalyptic number.

23322102120 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 23322102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42946848000).

23322102120 is an abundant number, since it is smaller than the sum of its proper divisors (62571593880).

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

23322102120 is a wasteful number, since it uses less digits than its factorization.

23322102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55289 (or 55279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23322102120 its reverse (2120122332), we get a palindrome (25442224452).

The spelling of 23322102120 in words is "twenty-three billion, three hundred twenty-two million, one hundred two thousand, one hundred twenty".