Search a number
-
+
23122101201030 = 232513241295712539
BaseRepresentation
bin1010100000111100010001…
…01000001110100010000110
310000212110011222200110112200
411100132020220032202012
511012313030401413110
6121102051402055330
74604342136246636
oct520361050164206
9100773158613480
1023122101201030
117405034377307
122715274aaa546
13cb9535419700
1459d18957a6c6
152a16d3c836c0
hex150788a0e886

23122101201030 has 288 divisors, whose sum is σ = 66713226259680. Its totient is φ = 5550454241280.

The previous prime is 23122101200983. The next prime is 23122101201119. The reversal of 23122101201030 is 3010210122132.

23122101201030 is a `hidden beast` number, since 231 + 2 + 210 + 120 + 103 + 0 = 666.

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 = 23122101200994 and 23122101201012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1844008501 + ... + 1844021039.

It is an arithmetic number, because the mean of its divisors is an integer number (231643146735).

Almost surely, 223122101201030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23122101201030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33356613129840).

23122101201030 is an abundant number, since it is smaller than the sum of its proper divisors (43591125058650).

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

23122101201030 is a wasteful number, since it uses less digits than its factorization.

23122101201030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15576 (or 15560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23122101201030 its reverse (3010210122132), we get a palindrome (26132311323162).

The spelling of 23122101201030 in words is "twenty-three trillion, one hundred twenty-two billion, one hundred one million, two hundred one thousand, thirty".