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210111402000 = 2435379443273
BaseRepresentation
bin1100001110101110011…
…1011001000000010000
3202002100000200010102210
43003223213121000100
511420302004331000
6240305052312120
721115520310063
oct3035347310020
9662300603383
10210111402000
1181120455185
1234879a72640
1316a76112b96
14a252d628da
1556eaeda350
hex30eb9d9010

210111402000 has 160 divisors (see below), whose sum is σ = 685975380480. Its totient is φ = 55320345600.

The previous prime is 210111401989. The next prime is 210111402019. The reversal of 210111402000 is 204111012.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252364 + ... + 695636.

It is an arithmetic number, because the mean of its divisors is an integer number (4287346128).

Almost surely, 2210111402000 is an apocalyptic number.

210111402000 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 210111402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342987690240).

210111402000 is an abundant number, since it is smaller than the sum of its proper divisors (475863978480).

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

210111402000 is a wasteful number, since it uses less digits than its factorization.

210111402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443378 (or 443362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210111402000 its reverse (204111012), we get a palindrome (210315513012).

The spelling of 210111402000 in words is "two hundred ten billion, one hundred eleven million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 79 80 100 120 125 150 158 200 237 240 250 300 316 375 395 400 474 500 600 632 750 790 948 1000 1185 1200 1264 1500 1580 1896 1975 2000 2370 3000 3160 3792 3950 4740 5925 6000 6320 7900 9480 9875 11850 15800 18960 19750 23700 29625 31600 39500 47400 59250 79000 94800 118500 158000 237000 443273 474000 886546 1329819 1773092 2216365 2659638 3546184 4432730 5319276 6649095 7092368 8865460 10638552 11081825 13298190 17730920 21277104 22163650 26596380 33245475 35018567 35461840 44327300 53192760 55409125 66490950 70037134 88654600 105055701 106385520 110818250 132981900 140074268 166227375 175092835 177309200 210111402 221636500 265963800 280148536 332454750 350185670 420222804 443273000 525278505 531927600 560297072 664909500 700371340 840445608 875464175 886546000 1050557010 1329819000 1400742680 1680891216 1750928350 2101114020 2626392525 2659638000 2801485360 3501856700 4202228040 4377320875 5252785050 7003713400 8404456080 8754641750 10505570100 13131962625 14007426800 17509283500 21011140200 26263925250 35018567000 42022280400 52527850500 70037134000 105055701000 210111402000