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210120102 = 23317435323
BaseRepresentation
bin11001000011000…
…10110110100110
3112122101012121000
430201202312212
5412242320402
632503334130
75130664023
oct1441426646
9478335530
10210120102
11a8675385
125a451346
13346bb72a
141dc9854a
15136a7c1c
hexc862da6

210120102 has 64 divisors (see below), whose sum is σ = 505992960. Its totient is φ = 64374912.

The previous prime is 210120101. The next prime is 210120133. The reversal of 210120102 is 201021012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36813 + ... + 42135.

It is an arithmetic number, because the mean of its divisors is an integer number (7906140).

Almost surely, 2210120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252996480).

210120102 is an abundant number, since it is smaller than the sum of its proper divisors (295872858).

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

210120102 is a wasteful number, since it uses less digits than its factorization.

210120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5388 counting only the distinct ones).

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

The square root of 210120102 is about 14495.5200665585. The cubic root of 210120102 is about 594.5054874772.

Adding to 210120102 its reverse (201021012), we get a palindrome (411141114).

The spelling of 210120102 in words is "two hundred ten million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 102 129 153 258 306 387 459 731 774 918 1161 1462 2193 2322 4386 5323 6579 10646 13158 15969 19737 31938 39474 47907 90491 95814 143721 180982 228889 271473 287442 457778 542946 686667 814419 1373334 1628838 2060001 2443257 3891113 4120002 4886514 6180003 7782226 11673339 12360006 23346678 35020017 70040034 105060051 210120102