Search a number
-
+
21232111131000 = 23325371152315857
BaseRepresentation
bin1001101001111011111000…
…11100010001100101111000
32210011202210022221002022100
410310331330130101211320
510240331330422143000
6113053521443423400
74320653335600440
oct464757434214570
983152708832270
1021232111131000
116846540239120
12246ab13084b60
13bb024444ac73
145358d5337120
1526c468bb0a00
hex134f7c711978

21232111131000 has 768 divisors, whose sum is σ = 89505051217920. Its totient is φ = 4410270720000.

The previous prime is 21232111130983. The next prime is 21232111131001. The reversal of 21232111131000 is 13111123212.

21232111131000 is a `hidden beast` number, since 21 + 2 + 321 + 1 + 11 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×212321111310002 (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 (21232111131001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3625080072 + ... + 3625085928.

It is an arithmetic number, because the mean of its divisors is an integer number (116543035440).

Almost surely, 221232111131000 is an apocalyptic number.

21232111131000 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 21232111131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44752525608960).

21232111131000 is an abundant number, since it is smaller than the sum of its proper divisors (68272940086920).

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

21232111131000 is a wasteful number, since it uses less digits than its factorization.

21232111131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11133 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21232111131000 its reverse (13111123212), we get a palindrome (21245222254212).

The spelling of 21232111131000 in words is "twenty-one trillion, two hundred thirty-two billion, one hundred eleven million, one hundred thirty-one thousand".