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1020120000210 = 233522916498787
BaseRepresentation
bin11101101100000111110…
…00111110011011010010
310121112002220202100002000
432312003320332123102
5113203201210001320
62100345303534430
7133462344634533
oct16660370763322
93545086670060
101020120000210
113636a3166943
1214585815a416
137527379a4cc
143753464868a
151b807cd7c90
hexed83e3e6d2

1020120000210 has 64 divisors (see below), whose sum is σ = 2732199292800. Its totient is φ = 270844070976.

The previous prime is 1020120000203. The next prime is 1020120000253. The reversal of 1020120000210 is 120000210201.

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 = 1020120000192 and 1020120000201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8187564 + ... + 8311223.

It is an arithmetic number, because the mean of its divisors is an integer number (42690613950).

Almost surely, 21020120000210 is an apocalyptic number.

1020120000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020120000210 is an abundant number, since it is smaller than the sum of its proper divisors (1712079292590).

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

1020120000210 is a wasteful number, since it uses less digits than its factorization.

1020120000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16499032 (or 16499026 counting only the distinct ones).

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

Adding to 1020120000210 its reverse (120000210201), we get a palindrome (1140120210411).

The spelling of 1020120000210 in words is "one trillion, twenty billion, one hundred twenty million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 229 270 458 687 1145 1374 2061 2290 3435 4122 6183 6870 10305 12366 20610 30915 61830 16498787 32997574 49496361 82493935 98992722 148489083 164987870 247481805 296978166 445467249 494963610 742445415 890934498 1484890830 2227336245 3778222223 4454672490 7556444446 11334666669 18891111115 22669333338 34004000007 37782222230 56673333345 68008000014 102012000021 113346666690 170020000035 204024000042 340040000070 510060000105 1020120000210