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21023210120 = 235112913112577
BaseRepresentation
bin10011100101000101…
…001011101010001000
32000021010212201122212
4103211011023222020
5321023420210440
613354040204252
71342655223533
oct234505135210
960233781585
1021023210120
118a09065a20
1240a8769688
131ca0680403
141036155a1a
158309d4465
hex4e514ba88

21023210120 has 128 divisors (see below), whose sum is σ = 53793590400. Its totient is φ = 7324262400.

The previous prime is 21023210113. The next prime is 21023210141. The reversal of 21023210120 is 2101232012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21023210095 and 21023210104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665272 + ... + 1677848.

It is an arithmetic number, because the mean of its divisors is an integer number (420262425).

Almost surely, 221023210120 is an apocalyptic number.

21023210120 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 21023210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26896795200).

21023210120 is an abundant number, since it is smaller than the sum of its proper divisors (32770380280).

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

21023210120 is a wasteful number, since it uses less digits than its factorization.

21023210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12759 (or 12755 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21023210120 its reverse (2101232012), we get a palindrome (23124442132).

The spelling of 21023210120 in words is "twenty-one billion, twenty-three million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 131 145 220 232 262 290 319 440 524 580 638 655 1048 1160 1276 1310 1441 1595 2552 2620 2882 3190 3799 5240 5764 6380 7205 7598 11528 12577 12760 14410 15196 18995 25154 28820 30392 37990 41789 50308 57640 62885 75980 83578 100616 125770 138347 151960 167156 208945 251540 276694 334312 364733 417890 503080 553388 691735 729466 835780 1106776 1383470 1458932 1647587 1671560 1823665 2766940 2917864 3295174 3647330 4012063 5533880 6590348 7294660 8024126 8237935 13180696 14589320 16048252 16475870 18123457 20060315 32096504 32951740 36246914 40120630 47780023 65903480 72493828 80241260 90617285 95560046 144987656 160482520 181234570 191120092 238900115 362469140 382240184 477800230 525580253 724938280 955600460 1051160506 1911200920 2102321012 2627901265 4204642024 5255802530 10511605060 21023210120