Search a number
-
+
212023113000 = 23353684110331
BaseRepresentation
bin1100010101110110001…
…1111111010100101000
3202021021020220002220220
43011131203333110220
511433210404104000
6241222503050040
721214062503406
oct3053543772450
9667236802826
10212023113000
1181a11579a26
1235112140920
1316cbc1b701a
14a394bd8476
1557adc5d1a0
hex315d8ff528

212023113000 has 128 divisors (see below), whose sum is σ = 661672851840. Its totient is φ = 56525760000.

The previous prime is 212023112989. The next prime is 212023113011. The reversal of 212023113000 is 311320212.

It is an interprime number because it is at equal distance from previous prime (212023112989) and next prime (212023113011).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 20517835 + ... + 20528165.

It is an arithmetic number, because the mean of its divisors is an integer number (5169319155).

Almost surely, 2212023113000 is an apocalyptic number.

212023113000 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 212023113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330836425920).

212023113000 is an abundant number, since it is smaller than the sum of its proper divisors (449649738840).

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

212023113000 is a wasteful number, since it uses less digits than its factorization.

212023113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17196 (or 17182 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212023113000 its reverse (311320212), we get a palindrome (212334433212).

The spelling of 212023113000 in words is "two hundred twelve billion, twenty-three million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6841 10331 13682 20523 20662 27364 30993 34205 41046 41324 51655 54728 61986 68410 82092 82648 102615 103310 123972 136820 154965 164184 171025 205230 206620 247944 258275 273640 309930 342050 410460 413240 513075 516550 619860 684100 774825 820920 855125 1026150 1033100 1239720 1291375 1368200 1549650 1710250 2052300 2066200 2565375 2582750 3099300 3420500 3874125 4104600 5130750 5165500 6198600 6841000 7748250 10261500 10331000 15496500 20523000 30993000 70674371 141348742 212023113 282697484 353371855 424046226 565394968 706743710 848092452 1060115565 1413487420 1696184904 1766859275 2120231130 2826974840 3533718550 4240462260 5300577825 7067437100 8480924520 8834296375 10601155650 14134874200 17668592750 21202311300 26502889125 35337185500 42404622600 53005778250 70674371000 106011556500 212023113000