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212312203000 = 2353353601451
BaseRepresentation
bin1100010110111011001…
…0110001111011111000
3202022000101212101211221
43011232302301323320
511434303410444000
6241311311201424
721224202643402
oct3055662617370
9668011771757
10212312203000
118204a781587
1235192b16274
1317037064cb1
14a3c136bb72
1557c931461a
hex316ecb1ef8

212312203000 has 64 divisors (see below), whose sum is σ = 498218778720. Its totient is φ = 84684160000.

The previous prime is 212312202961. The next prime is 212312203009. The reversal of 212312203000 is 302213212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212312203009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52275 + ... + 653725.

Almost surely, 2212312203000 is an apocalyptic number.

212312203000 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 212312203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249109389360).

212312203000 is an abundant number, since it is smaller than the sum of its proper divisors (285906575720).

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

212312203000 is a wasteful number, since it uses less digits than its factorization.

212312203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601825 (or 601811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 212312203000 its reverse (302213212), we get a palindrome (212614416212).

The spelling of 212312203000 in words is "two hundred twelve billion, three hundred twelve million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 353 500 706 1000 1412 1765 2824 3530 7060 8825 14120 17650 35300 44125 70600 88250 176500 353000 601451 1202902 2405804 3007255 4811608 6014510 12029020 15036275 24058040 30072550 60145100 75181375 120290200 150362750 212312203 300725500 424624406 601451000 849248812 1061561015 1698497624 2123122030 4246244060 5307805075 8492488120 10615610150 21231220300 26539025375 42462440600 53078050750 106156101500 212312203000