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1000210021020 = 223257793817477
BaseRepresentation
bin11101000111000010010…
…10011011101010011100
310112121201100121121011100
432203201022123222130
5112341412231133040
62043253511553100
7132156064621140
oct16434112335234
93477640547140
101000210021020
11356206532891
12141a2038b790
137341c951132
14365a62b7220
151b03edeeb30
hexe8e129ba9c

1000210021020 has 72 divisors (see below), whose sum is σ = 3467394743904. Its totient is φ = 228619433088.

The previous prime is 1000210021003. The next prime is 1000210021079. The reversal of 1000210021020 is 201200120001.

1000210021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10002100210202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000210020993 and 1000210021011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396907479 + ... + 396909998.

It is an arithmetic number, because the mean of its divisors is an integer number (48158260332).

Almost surely, 21000210021020 is an apocalyptic number.

1000210021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000210021020 is an abundant number, since it is smaller than the sum of its proper divisors (2467184722884).

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

1000210021020 is a wasteful number, since it uses less digits than its factorization.

1000210021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793817499 (or 793817494 counting only the distinct ones).

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

Adding to 1000210021020 its reverse (201200120001), we get a palindrome (1201410141021).

The spelling of 1000210021020 in words is "one trillion, two hundred ten million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 793817477 1587634954 2381452431 3175269908 3969087385 4762904862 5556722339 7144357293 7938174770 9525809724 11113444678 11907262155 14288714586 15876349540 16670167017 22226889356 23814524310 27783611695 28577429172 33340334034 35721786465 47629048620 50010501051 55567223390 66680668068 71443572930 83350835085 100021002102 111134446780 142887145860 166701670170 200042004204 250052505255 333403340340 500105010510 1000210021020