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21000302010 = 2325377386389
BaseRepresentation
bin10011100011101101…
…110010110110111010
32000012112202212122100
4103203231302312322
5321002034131020
613351501204230
71342256423202
oct234355626672
960175685570
1021000302010
1189a71397a6
1240a0b60676
131c989bc40c
1410330b1402
1582d9aba90
hex4e3b72dba

21000302010 has 96 divisors (see below), whose sum is σ = 56845311120. Its totient is φ = 5374024704.

The previous prime is 21000302009. The next prime is 21000302027. The reversal of 21000302010 is 1020300012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8643978729 + 12356323281 = 92973^2 + 111159^2 .

It is a super-2 number, since 2×210003020102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21000301983 and 21000302001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199896 + ... + 286284.

Almost surely, 221000302010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000302010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28422655560).

21000302010 is an abundant number, since it is smaller than the sum of its proper divisors (35845009110).

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

21000302010 is a wasteful number, since it uses less digits than its factorization.

21000302010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86512 (or 86509 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21000302010 its reverse (1020300012), we get a palindrome (22020602022).

The spelling of 21000302010 in words is "twenty-one billion, three hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 73 74 90 111 146 185 219 222 333 365 370 438 555 657 666 730 1095 1110 1314 1665 2190 2701 3285 3330 5402 6570 8103 13505 16206 24309 27010 40515 48618 81030 86389 121545 172778 243090 259167 431945 518334 777501 863890 1295835 1555002 2591670 3196393 3887505 6306397 6392786 7775010 9589179 12612794 15981965 18919191 19178358 28767537 31531985 31963930 37838382 47945895 56757573 57535074 63063970 94595955 95891790 113515146 143837685 189191910 233336689 283787865 287675370 466673378 567575730 700010067 1166683445 1400020134 2100030201 2333366890 3500050335 4200060402 7000100670 10500151005 21000302010