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21203002000 = 245329365569
BaseRepresentation
bin10011101111110011…
…000010001010010000
32000201200012002202101
4103233303002022100
5321410432031000
613423541530144
71350300354235
oct235763021220
960650162671
1021203002000
118aa05a6254
124138a13954
131ccb9b063b
141051d9778c
1584169ae6a
hex4efcc2290

21203002000 has 80 divisors (see below), whose sum is σ = 53036895600. Its totient is φ = 8188723200.

The previous prime is 21203001997. The next prime is 21203002003. The reversal of 21203002000 is 20030212.

It is an interprime number because it is at equal distance from previous prime (21203001997) and next prime (21203002003).

It can be written as a sum of positive squares in 8 ways, for example, as 10028820736 + 11174181264 = 100144^2 + 105708^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21203002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124785 + ... + 240784.

It is an arithmetic number, because the mean of its divisors is an integer number (662961195).

Almost surely, 221203002000 is an apocalyptic number.

21203002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21203002000 is an abundant number, since it is smaller than the sum of its proper divisors (31833893600).

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

21203002000 is a wasteful number, since it uses less digits than its factorization.

21203002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365621 (or 365605 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 21203002000 its reverse (20030212), we get a palindrome (21223032212).

The spelling of 21203002000 in words is "twenty-one billion, two hundred three million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 365569 731138 1462276 1827845 2924552 3655690 5849104 7311380 9139225 10601501 14622760 18278450 21203002 29245520 36556900 42406004 45696125 53007505 73113800 84812008 91392250 106015010 146227600 169624016 182784500 212030020 265037525 365569000 424060040 530075050 731138000 848120080 1060150100 1325187625 2120300200 2650375250 4240600400 5300750500 10601501000 21203002000