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21305252000 = 255310195227
BaseRepresentation
bin10011110101111001…
…000101100010100000
32000222210120221101102
4103311321011202200
5322113121031000
613442033253532
71352651440214
oct236571054240
960883527342
1021305252000
11904329418a
1241671042a8
132016c312b6
1410617b2944
1584a6473d5
hex4f5e458a0

21305252000 has 96 divisors (see below), whose sum is σ = 52408399680. Its totient is φ = 8512108800.

The previous prime is 21305251999. The next prime is 21305252039. The reversal of 21305252000 is 25250312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4073387 + ... + 4078613.

It is an arithmetic number, because the mean of its divisors is an integer number (545920830).

Almost surely, 221305252000 is an apocalyptic number.

21305252000 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 21305252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26204199840).

21305252000 is an abundant number, since it is smaller than the sum of its proper divisors (31103147680).

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

21305252000 is a wasteful number, since it uses less digits than its factorization.

21305252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 21305252000 in words is "twenty-one billion, three hundred five million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1019 2000 2038 4000 4076 5095 5227 8152 10190 10454 16304 20380 20908 25475 26135 32608 40760 41816 50950 52270 81520 83632 101900 104540 127375 130675 163040 167264 203800 209080 254750 261350 407600 418160 509500 522700 653375 815200 836320 1019000 1045400 1306750 2038000 2090800 2613500 4076000 4181600 5227000 5326313 10454000 10652626 20908000 21305252 26631565 42610504 53263130 85221008 106526260 133157825 170442016 213052520 266315650 426105040 532631300 665789125 852210080 1065262600 1331578250 2130525200 2663156500 4261050400 5326313000 10652626000 21305252000