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212133120312 = 233233753195971
BaseRepresentation
bin1100010110010000011…
…1101000100100111000
3202021112220220001120210
43011210013220210320
511433422034322222
6241241432551120
721216566525421
oct3054407504470
9667486801523
10212133120312
1181a68686063
1235142b524a0
1317008c227c9
14a3a5672648
1557b873cd0c
hex31641e8938

212133120312 has 128 divisors (see below), whose sum is σ = 579073743360. Its totient is φ = 64566627840.

The previous prime is 212133120217. The next prime is 212133120337. The reversal of 212133120312 is 213021331212.

It is a congruent number.

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, 984487 + ... + 1180457.

It is an arithmetic number, because the mean of its divisors is an integer number (4524013620).

Almost surely, 2212133120312 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 212133120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289536871680).

212133120312 is an abundant number, since it is smaller than the sum of its proper divisors (366940623048).

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

212133120312 is a wasteful number, since it uses less digits than its factorization.

212133120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196093 (or 196089 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212133120312 its reverse (213021331212), we get a palindrome (425154451524).

The spelling of 212133120312 in words is "two hundred twelve billion, one hundred thirty-three million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 53 69 74 92 106 111 138 148 159 184 212 222 276 296 318 424 444 552 636 851 888 1219 1272 1702 1961 2438 2553 3404 3657 3922 4876 5106 5883 6808 7314 7844 9752 10212 11766 14628 15688 20424 23532 29256 45103 47064 90206 135309 180412 195971 270618 360824 391942 541236 587913 783884 1082472 1175826 1567768 2351652 4507333 4703304 7250927 9014666 10386463 13521999 14501854 18029332 20772926 21752781 27043998 29003708 31159389 36058664 41545852 43505562 54087996 58007416 62318778 83091704 87011124 108175992 124637556 166771321 174022248 238888649 249275112 333542642 384299131 477777298 500313963 667085284 716665947 768598262 955554596 1000627926 1152897393 1334170568 1433331894 1537196524 1911109192 2001255852 2305794786 2866663788 3074393048 4002511704 4611589572 5733327576 8838880013 9223179144 17677760026 26516640039 35355520052 53033280078 70711040104 106066560156 212133120312