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212101200312 = 23347208990011
BaseRepresentation
bin1100010110001000110…
…1110111100110111000
3202021110200211100120120
43011202031313212320
511433340401402222
6241234332453240
721216031312251
oct3054215674670
9667420740516
10212101200312
1181a516640a1
123513431a220
1317002427931
14a3a1323b28
1557b5a3515c
hex31623779b8

212101200312 has 64 divisors (see below), whose sum is σ = 541800230400. Its totient is φ = 69162243840.

The previous prime is 212101200271. The next prime is 212101200323. The reversal of 212101200312 is 213002101212.

It is a super-2 number, since 2×2121012003122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212101200291 and 212101200300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2311387 + ... + 2401397.

It is an arithmetic number, because the mean of its divisors is an integer number (8465628600).

Almost surely, 2212101200312 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 212101200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270900115200).

212101200312 is an abundant number, since it is smaller than the sum of its proper divisors (329699030088).

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

212101200312 is a wasteful number, since it uses less digits than its factorization.

212101200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92156 (or 92152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212101200312 its reverse (213002101212), we get a palindrome (425103301524).

The spelling of 212101200312 in words is "two hundred twelve billion, one hundred one million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2089 4178 6267 8356 12534 16712 25068 50136 90011 98183 180022 196366 270033 294549 360044 392732 540066 589098 720088 785464 1080132 1178196 2160264 2356392 4230517 8461034 12691551 16922068 25383102 33844136 50766204 101532408 188032979 376065958 564098937 752131916 1128197874 1504263832 2256395748 4512791496 8837550013 17675100026 26512650039 35350200052 53025300078 70700400104 106050600156 212101200312