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10210213200 = 2435211773501
BaseRepresentation
bin10011000001001001…
…10111110101010000
3222100120022120102110
421200210313311100
5131402303310300
64405052145320
7511006244265
oct114044676520
928316276373
1010210213200
11436a443330
121b8b468240
13c6940c395
146cc04326c
153eb583550
hex260937d50

10210213200 has 120 divisors (see below), whose sum is σ = 35680100256. Its totient is φ = 2475200000.

The previous prime is 10210213099. The next prime is 10210213201. The reversal of 10210213200 is 231201201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210213201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373551 + ... + 399950.

Almost surely, 210210213200 is an apocalyptic number.

10210213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210213200 is an abundant number, since it is smaller than the sum of its proper divisors (25469887056).

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

10210213200 is a wasteful number, since it uses less digits than its factorization.

10210213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773533 (or 773522 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10210213200 its reverse (231201201), we get a palindrome (10441414401).

The spelling of 10210213200 in words is "ten billion, two hundred ten million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 773501 1547002 2320503 3094004 3867505 4641006 6188008 7735010 8508511 9282012 11602515 12376016 15470020 17017022 18564024 19337525 23205030 25525533 30940040 34034044 37128048 38675050 42542555 46410060 51051066 58012575 61880080 68068088 77350100 85085110 92820120 102102132 116025150 127627665 136136176 154700200 170170220 185640240 204204264 212712775 232050300 255255330 309400400 340340440 408408528 425425550 464100600 510510660 638138325 680680880 850851100 928201200 1021021320 1276276650 1701702200 2042042640 2552553300 3403404400 5105106600 10210213200