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21062118100 = 22524317872741
BaseRepresentation
bin10011100111011001…
…100110101011010100
32000100212002110101011
4103213121212223110
5321113400234400
613401550142004
71343640023062
oct234731465324
960325073334
1021062118100
118a29020081
1240b97b1904
131ca8753b9a
14103b3a3032
1583411c8ba
hex4e7666ad4

21062118100 has 72 divisors (see below), whose sum is σ = 46810941408. Its totient is φ = 8221315200.

The previous prime is 21062118073. The next prime is 21062118113. The reversal of 21062118100 is 181126012.

It is a super-2 number, since 2×210621181002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7682730 + ... + 7685470.

It is an arithmetic number, because the mean of its divisors is an integer number (650151964).

Almost surely, 221062118100 is an apocalyptic number.

21062118100 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 21062118100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405470704).

21062118100 is an abundant number, since it is smaller than the sum of its proper divisors (25748823308).

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

21062118100 is a wasteful number, since it uses less digits than its factorization.

21062118100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The spelling of 21062118100 in words is "twenty-one billion, sixty-two million, one hundred eighteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1787 2150 2741 3574 4300 5482 7148 8935 10964 13705 17870 27410 35740 44675 54820 68525 76841 89350 117863 137050 153682 178700 235726 274100 307364 384205 471452 589315 768410 1178630 1536820 1921025 2357260 2946575 3842050 4898167 5893150 7684100 9796334 11786300 19592668 24490835 48981670 97963340 122454175 210621181 244908350 421242362 489816700 842484724 1053105905 2106211810 4212423620 5265529525 10531059050 21062118100