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311212000 = 2553112643
BaseRepresentation
bin10010100011001…
…011011111100000
3210200121012121101
4102203023133200
51114132241000
650514204144
710466154421
oct2243133740
9720535541
10311212000
1114a742200
1288283654
134c625218
142d491648
151c4c5e6a
hex128cb7e0

311212000 has 144 divisors (see below), whose sum is σ = 841787856. Its totient is φ = 112992000.

The previous prime is 311211997. The next prime is 311212037. The reversal of 311212000 is 212113.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 483679 + ... + 484321.

It is an arithmetic number, because the mean of its divisors is an integer number (5845749).

Almost surely, 2311212000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420893928).

311212000 is an abundant number, since it is smaller than the sum of its proper divisors (530575856).

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

311212000 is a wasteful number, since it uses less digits than its factorization.

311212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 311212000 is about 17641.2017731219. The cubic root of 311212000 is about 677.6708083647.

Adding to 311212000 its reverse (212113), we get a palindrome (311424113).

The spelling of 311212000 in words is "three hundred eleven million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 643 800 880 968 1000 1100 1210 1286 1375 1760 1936 2000 2200 2420 2572 2750 3025 3215 3872 4000 4400 4840 5144 5500 6050 6430 7073 8800 9680 10288 11000 12100 12860 14146 15125 16075 19360 20576 22000 24200 25720 28292 30250 32150 35365 44000 48400 51440 56584 60500 64300 70730 77803 80375 96800 102880 113168 121000 128600 141460 155606 160750 176825 226336 242000 257200 282920 311212 321500 353650 389015 484000 514400 565840 622424 643000 707300 778030 884125 1131680 1244848 1286000 1414600 1556060 1768250 1945075 2489696 2572000 2829200 3112120 3536500 3890150 5658400 6224240 7073000 7780300 9725375 12448480 14146000 15560600 19450750 28292000 31121200 38901500 62242400 77803000 155606000 311212000