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21153255341240 = 235111721031818923
BaseRepresentation
bin1001100111101001000000…
…10001010011110010111000
32202220020020201211220200102
410303310200101103302320
510233033331331404430
6112553401002254532
74312162246463651
oct463644021236270
982806221756612
1021153255341240
1168160551a3140
1224577864b7448
13ba59883a5b39
14531b74528528
1526a3a0dac345
hex133d20453cb8

21153255341240 has 384 divisors, whose sum is σ = 56004950776320. Its totient is φ = 7128920678400.

The previous prime is 21153255341203. The next prime is 21153255341293. The reversal of 21153255341240 is 4214355235112.

It is a junction number, because it is equal to n+sod(n) for n = 21153255341194 and 21153255341203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2370639419 + ... + 2370648341.

It is an arithmetic number, because the mean of its divisors is an integer number (145846225980).

Almost surely, 221153255341240 is an apocalyptic number.

21153255341240 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 21153255341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28002475388160).

21153255341240 is an abundant number, since it is smaller than the sum of its proper divisors (34851695435080).

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

21153255341240 is a wasteful number, since it uses less digits than its factorization.

21153255341240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9263 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 21153255341240 in words is "twenty-one trillion, one hundred fifty-three billion, two hundred fifty-five million, three hundred forty-one thousand, two hundred forty".