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21242540000 = 25541196557
BaseRepresentation
bin10011110010001001…
…110110111111100000
32000211102120211200202
4103302021312333200
5322001042240000
613431513204332
71351260416333
oct236211667740
960742524622
1021242540000
119010950790
12414a1006a8
132006c44ac6
14105732a61a
15844daadd5
hex4f2276fe0

21242540000 has 120 divisors (see below), whose sum is σ = 57011319288. Its totient is φ = 7724480000.

The previous prime is 21242539979. The next prime is 21242540029. The reversal of 21242540000 is 4524212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171722 + ... + 268278.

Almost surely, 221242540000 is an apocalyptic number.

21242540000 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 21242540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28505659644).

21242540000 is an abundant number, since it is smaller than the sum of its proper divisors (35768779288).

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

21242540000 is an equidigital number, since it uses as much as digits as its factorization.

21242540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96598 (or 96575 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 21242540000 in words is "twenty-one billion, two hundred forty-two million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 96557 110000 193114 220000 386228 482785 772456 965570 1062127 1544912 1931140 2124254 2413925 3089824 3862280 4248508 4827850 5310635 7724560 8497016 9655700 10621270 12069625 15449120 16994032 19311400 21242540 24139250 26553175 33988064 38622800 42485080 48278500 53106350 60348125 77245600 84970160 96557000 106212700 120696250 132765875 169940320 193114000 212425400 241392500 265531750 386228000 424850800 482785000 531063500 663829375 849701600 965570000 1062127000 1327658750 1931140000 2124254000 2655317500 4248508000 5310635000 10621270000 21242540000