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21002012010 = 2325724762361
BaseRepresentation
bin10011100011110100…
…010100010101101010
32000012122222202022200
4103203310110111222
5321003003341020
613352002001030
71342310104500
oct234364242552
960178882280
1021002012010
1189a80a7521
1240a1646176
131c9916a855
1410333d8670
1582dbe8590
hex4e3d1456a

21002012010 has 72 divisors (see below), whose sum is σ = 63520384356. Its totient is φ = 4800458880.

The previous prime is 21002011999. The next prime is 21002012021. The reversal of 21002012010 is 1021020012.

It is an interprime number because it is at equal distance from previous prime (21002011999) and next prime (21002012021).

It can be written as a sum of positive squares in 2 ways, for example, as 20445854121 + 556157889 = 142989^2 + 23583^2 .

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 = 21002011983 and 21002012001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2376771 + ... + 2385590.

Almost surely, 221002012010 is an apocalyptic number.

21002012010 is an abundant number, since it is smaller than the sum of its proper divisors (42518372346).

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

21002012010 is a wasteful number, since it uses less digits than its factorization.

21002012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762388 (or 4762378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21002012010 its reverse (1021020012), we get a palindrome (22023032022).

The spelling of 21002012010 in words is "twenty-one billion, two million, twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 4762361 9524722 14287083 23811805 28574166 33336527 42861249 47623610 66673054 71435415 85722498 100009581 142870830 166682635 200019162 214306245 233355689 300028743 333365270 428612490 466711378 500047905 600057486 700067067 1000095810 1166778445 1400134134 1500143715 2100201201 2333556890 3000287430 3500335335 4200402402 7000670670 10501006005 21002012010