Search a number
-
+
212133443300 = 225231191358273
BaseRepresentation
bin1100010110010000100…
…0110111011011100100
3202021112221111110122022
43011210020313123210
511433422130141200
6241241443522312
721216602342162
oct3054410673344
9667487443568
10212133443300
1181a68886799
1235143089398
131700900681c
14a3a5718232
1557b87a3885
hex31642376e4

212133443300 has 72 divisors (see below), whose sum is σ = 477668093952. Its totient is φ = 81686016000.

The previous prime is 212133443281. The next prime is 212133443329. The reversal of 212133443300 is 3344331212.

It is a self number, because there is not a number n which added to its sum of digits gives 212133443300.

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, 412964 + ... + 771236.

Almost surely, 2212133443300 is an apocalyptic number.

212133443300 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 212133443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238834046976).

212133443300 is an abundant number, since it is smaller than the sum of its proper divisors (265534650652).

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

212133443300 is a wasteful number, since it uses less digits than its factorization.

212133443300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358509 (or 358502 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 212133443300 its reverse (3344331212), we get a palindrome (215477774512).

The spelling of 212133443300 in words is "two hundred twelve billion, one hundred thirty-three million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 191 310 382 620 764 775 955 1550 1910 3100 3820 4775 5921 9550 11842 19100 23684 29605 59210 118420 148025 296050 358273 592100 716546 1433092 1791365 3582730 7165460 8956825 11106463 17913650 22212926 35827300 44425852 55532315 68430143 111064630 136860286 222129260 273720572 277661575 342150715 555323150 684301430 1110646300 1368602860 1710753575 2121334433 3421507150 4242668866 6843014300 8485337732 10606672165 21213344330 42426688660 53033360825 106066721650 212133443300