Search a number
-
+
12030111032310 = 23257147135173691
BaseRepresentation
bin1010111100001111101001…
…1111101010001111110110
31120121001211010022000212100
42233003322133222033312
53034100131411013220
641330320130002530
72351101236402510
oct257037237521766
946531733260770
1012030111032310
113918a3a065078
121423623a16446
13693585a8bb77
142d8390a8abb0
1515cde667cd90
hexaf0fa7ea3f6

12030111032310 has 192 divisors, whose sum is σ = 35790781538304. Its totient is φ = 2746344787200.

The previous prime is 12030111032299. The next prime is 12030111032311. The reversal of 12030111032310 is 1323011103021.

12030111032310 is a `hidden beast` number, since 1 + 20 + 301 + 1 + 1 + 0 + 32 + 310 = 666.

It is a super-2 number, since 2×120301110323102 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030111032311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3259307565 + ... + 3259311255.

It is an arithmetic number, because the mean of its divisors is an integer number (186410320512).

Almost surely, 212030111032310 is an apocalyptic number.

12030111032310 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 12030111032310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895390769152).

12030111032310 is an abundant number, since it is smaller than the sum of its proper divisors (23760670505994).

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

12030111032310 is a wasteful number, since it uses less digits than its factorization.

12030111032310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8699 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12030111032310 its reverse (1323011103021), we get a palindrome (13353122135331).

The spelling of 12030111032310 in words is "twelve trillion, thirty billion, one hundred eleven million, thirty-two thousand, three hundred ten".