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210000210120 = 233351583122833
BaseRepresentation
bin1100001110010011111…
…1001110100011001000
3202002001021102222212000
43003210333032203020
511420040023210440
6240250041151000
721113000222361
oct3034477164310
9662037388760
10210000210120
118107370a068
123484878b460
1316a5908117c
14a24229ab68
1556e1374730
hex30e4fce8c8

210000210120 has 128 divisors (see below), whose sum is σ = 700448601600. Its totient is φ = 55964224512.

The previous prime is 210000210029. The next prime is 210000210139. The reversal of 210000210120 is 21012000012.

210000210120 is digitally balanced in base 2, because in such base 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 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 31 ways as a sum of consecutive naturals, for example, 1648224 + ... + 1771056.

It is an arithmetic number, because the mean of its divisors is an integer number (5472254700).

Almost surely, 2210000210120 is an apocalyptic number.

210000210120 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 210000210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350224300800).

210000210120 is an abundant number, since it is smaller than the sum of its proper divisors (490448391480).

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

210000210120 is a wasteful number, since it uses less digits than its factorization.

210000210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124436 (or 124426 counting only the distinct ones).

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

Adding to 210000210120 its reverse (21012000012), we get a palindrome (231012210132).

The spelling of 210000210120 in words is "two hundred ten billion, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1583 3166 4749 6332 7915 9498 12664 14247 15830 18996 23745 28494 31660 37992 42741 47490 56988 63320 71235 85482 94980 113976 122833 142470 170964 189960 213705 245666 284940 341928 368499 427410 491332 569880 614165 736998 854820 982664 1105497 1228330 1473996 1709640 1842495 2210994 2456660 2947992 3316491 3684990 4421988 4913320 5527485 6632982 7369980 8843976 11054970 13265964 14739960 16582455 22109940 26531928 33164910 44219880 66329820 132659640 194444639 388889278 583333917 777778556 972223195 1166667834 1555557112 1750001751 1944446390 2333335668 2916669585 3500003502 3888892780 4666671336 5250005253 5833339170 7000007004 7777785560 8750008755 10500010506 11666678340 14000014008 17500017510 21000021012 23333356680 26250026265 35000035020 42000042024 52500052530 70000070040 105000105060 210000210120