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24212231213130 = 2345177129384523
BaseRepresentation
bin1011000000101010110010…
…11100001101000001001010
310011201200000000121220020000
411200111121130031001022
511133143122142310010
6123254540115343430
75046163442413362
oct540253134150112
9104650000556200
1024212231213130
117795393343304
1228705ab2b1b76
13106828542864c
145d9c41c859a2
152bec37ea87c0
hex16055970d04a

24212231213130 has 320 divisors, whose sum is σ = 70143954870528. Its totient is φ = 5970688174080.

The previous prime is 24212231213129. The next prime is 24212231213141. The reversal of 24212231213130 is 3131213221242.

24212231213130 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 223 + 121 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 24212231213094 and 24212231213103.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 286415049 + ... + 286499571.

Almost surely, 224212231213130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24212231213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35071977435264).

24212231213130 is an abundant number, since it is smaller than the sum of its proper divisors (45931723657398).

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

24212231213130 is a wasteful number, since it uses less digits than its factorization.

24212231213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84923 (or 84914 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 24212231213130 its reverse (3131213221242), we get a palindrome (27343444434372).

The spelling of 24212231213130 in words is "twenty-four trillion, two hundred twelve billion, two hundred thirty-one million, two hundred thirteen thousand, one hundred thirty".