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10212120 = 23325191493
BaseRepresentation
bin100110111101…
…001100011000
3201012211101200
4212331030120
510103241440
61002514200
7152541642
oct46751430
921184350
1010212120
115845576
123505960
132167299
1414db892
15d6ac30
hex9bd318

10212120 has 96 divisors (see below), whose sum is σ = 34959600. Its totient is φ = 2578176.

The previous prime is 10212119. The next prime is 10212131. The reversal of 10212120 is 2121201.

10212120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 6094 + ... + 7586.

Almost surely, 210212120 is an apocalyptic number.

10212120 is a gapful number since it is divisible by the number (10) 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 10212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17479800).

10212120 is an abundant number, since it is smaller than the sum of its proper divisors (24747480).

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

10212120 is a wasteful number, since it uses less digits than its factorization.

10212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1522 counting only the distinct ones).

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

The square root of 10212120 is about 3195.6407808138. The cubic root of 10212120 is about 216.9561521689.

Adding to 10212120 its reverse (2121201), we get a palindrome (12333321).

The spelling of 10212120 in words is "ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1493 1710 2280 2986 3420 4479 5972 6840 7465 8958 11944 13437 14930 17916 22395 26874 28367 29860 35832 44790 53748 56734 59720 67185 85101 89580 107496 113468 134370 141835 170202 179160 226936 255303 268740 283670 340404 425505 510606 537480 567340 680808 851010 1021212 1134680 1276515 1702020 2042424 2553030 3404040 5106060 10212120