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21123243141000 = 233537111319370213
BaseRepresentation
bin1001100110110001000110…
…11001110110011110001000
32202210100210010121011201120
410303120203121312132020
510232040400221003000
6112531514532515240
74310050441132620
oct463304331663610
982710703534646
1021123243141000
116804354086970
1224519ab47bb20
13ba2bb462b880
14530528625880
152696e61736a0
hex133623676788

21123243141000 has 1024 divisors, whose sum is σ = 93144657715200. Its totient is φ = 3838358016000.

The previous prime is 21123243140929. The next prime is 21123243141017. The reversal of 21123243141000 is 14134232112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56871894 + ... + 57242106.

It is an arithmetic number, because the mean of its divisors is an integer number (90961579800).

Almost surely, 221123243141000 is an apocalyptic number.

21123243141000 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 21123243141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46572328857600).

21123243141000 is an abundant number, since it is smaller than the sum of its proper divisors (72021414574200).

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

21123243141000 is a wasteful number, since it uses less digits than its factorization.

21123243141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370287 (or 370273 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21123243141000 its reverse (14134232112), we get a palindrome (21137377373112).

The spelling of 21123243141000 in words is "twenty-one trillion, one hundred twenty-three billion, two hundred forty-three million, one hundred forty-one thousand".