Search a number
-
+
11023210102320 = 24325132372448427
BaseRepresentation
bin1010000001101000101010…
…0001011011111000110000
31110000210211110120001002200
42200122022201123320300
52421101013241233240
635235554240343200
72215254264614163
oct240321241337060
943023743501080
1011023210102320
11356aa0a801359
1212a0456914b00
1361c63ab96800
142a1751d15ada
15141b1416b930
hexa068a85be30

11023210102320 has 360 divisors, whose sum is σ = 41169758578416. Its totient is φ = 2640069199872.

The previous prime is 11023210102309. The next prime is 11023210102337. The reversal of 11023210102320 is 2320101232011.

11023210102320 is a `hidden beast` number, since 1 + 1 + 0 + 232 + 10 + 102 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×110232101023202 (a number of 27 digits) contains 22 as substring.

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 = 11023210102293 and 11023210102302.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3277947 + ... + 5726373.

Almost surely, 211023210102320 is an apocalyptic number.

11023210102320 is a gapful number since it is divisible by the number (10) 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 11023210102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20584879289208).

11023210102320 is an abundant number, since it is smaller than the sum of its proper divisors (30146548476096).

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

11023210102320 is a wasteful number, since it uses less digits than its factorization.

11023210102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448509 (or 2448487 counting only the distinct ones).

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

Adding to 11023210102320 its reverse (2320101232011), we get a palindrome (13343311334331).

The spelling of 11023210102320 in words is "eleven trillion, twenty-three billion, two hundred ten million, one hundred two thousand, three hundred twenty".