Search a number
-
+
122330041325310 = 235713534451189949
BaseRepresentation
bin11011110100001000101110…
…101010001001011011111110
3121001010122012220121100200210
4123310020232222021123332
5112013223411034402220
61112101351204533250
734524024314521440
oct3364105652113376
9531118186540623
10122330041325310
1135a83974210675
121187846b3b1226
13533489a5c3880
14222cb3c786490
15e221423806e0
hex6f422ea896fe

122330041325310 has 256 divisors, whose sum is σ = 368246588774400. Its totient is φ = 25317485107200.

The previous prime is 122330041325299. The next prime is 122330041325353. The reversal of 122330041325310 is 13523140033221.

It is a super-2 number, since 2×1223300413253102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 643920216 + ... + 644110164.

It is an arithmetic number, because the mean of its divisors is an integer number (1438463237400).

Almost surely, 2122330041325310 is an apocalyptic number.

122330041325310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330041325310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184123294387200).

122330041325310 is an abundant number, since it is smaller than the sum of its proper divisors (245916547449090).

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

122330041325310 is a wasteful number, since it uses less digits than its factorization.

122330041325310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194483.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 122330041325310 its reverse (13523140033221), we get a palindrome (135853181358531).

The spelling of 122330041325310 in words is "one hundred twenty-two trillion, three hundred thirty billion, forty-one million, three hundred twenty-five thousand, three hundred ten".