Search a number
-
+
212112310000 = 24548323079
BaseRepresentation
bin1100010110001011100…
…0001111111011110000
3202021111110201210012111
43011202320033323300
511433401222410000
6241235410535104
721216224613103
oct3054270177360
9667443653174
10212112310000
1181a57961a58
1235137b97494
1317004817606
14a3a29b673a
1557b69cbcba
hex3162e0fef0

212112310000 has 150 divisors (see below), whose sum is σ = 519975773240. Its totient is φ = 83795472000.

The previous prime is 212112309989. The next prime is 212112310049. The reversal of 212112310000 is 13211212.

It is a super-2 number, since 2×2121123100002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 68888461 + ... + 68891539.

Almost surely, 2212112310000 is an apocalyptic number.

212112310000 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 212112310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259987886620).

212112310000 is an abundant number, since it is smaller than the sum of its proper divisors (307863463240).

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

212112310000 is an frugal number, since it uses more digits than its factorization.

212112310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 212112310000 its reverse (13211212), we get a palindrome (212125521212).

The spelling of 212112310000 in words is "two hundred twelve billion, one hundred twelve million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 625 664 830 1000 1250 1328 1660 2000 2075 2500 3079 3320 4150 5000 6158 6640 6889 8300 10000 10375 12316 13778 15395 16600 20750 24632 27556 30790 33200 34445 41500 49264 51875 55112 61580 68890 76975 83000 103750 110224 123160 137780 153950 166000 172225 207500 246320 255557 275560 307900 344450 384875 415000 511114 551120 615800 688900 769750 830000 861125 1022228 1231600 1277785 1377800 1539500 1722250 1924375 2044456 2555570 2755600 3079000 3444500 3848750 4088912 4305625 5111140 6158000 6388925 6889000 7697500 8611250 10222280 12777850 13778000 15395000 17222500 20444560 21211231 25555700 30790000 31944625 34445000 42422462 51111400 63889250 68890000 84844924 102222800 106056155 127778500 159723125 169689848 212112310 255557000 319446250 339379696 424224620 511114000 530280775 638892500 848449240 1060561550 1277785000 1696898480 2121123100 2555570000 2651403875 4242246200 5302807750 8484492400 10605615500 13257019375 21211231000 26514038750 42422462000 53028077500 106056155000 212112310000