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212133324340 = 22576722615493
BaseRepresentation
bin1100010110010000100…
…0011010011000110100
3202021112221021102110101
43011210020122120310
511433422112334330
6241241441203444
721216601335310
oct3054410323064
9667487242411
10212133324340
1181a68805383
1235143030584
1317008c94632
14a3a56c6b40
1557b877d4ca
hex316421a634

212133324340 has 48 divisors (see below), whose sum is σ = 516718806912. Its totient is φ = 71645878656.

The previous prime is 212133324311. The next prime is 212133324349. The reversal of 212133324340 is 43423331212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 212133324299 and 212133324308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133324349) 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, 11298367 + ... + 11317126.

It is an arithmetic number, because the mean of its divisors is an integer number (10764975144).

Almost surely, 2212133324340 is an apocalyptic number.

212133324340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133324340 is an abundant number, since it is smaller than the sum of its proper divisors (304585482572).

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

212133324340 is a wasteful number, since it uses less digits than its factorization.

212133324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22615576 (or 22615574 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 212133324340 its reverse (43423331212), we get a palindrome (255556655552).

The spelling of 212133324340 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 22615493 45230986 90461972 113077465 158308451 226154930 316616902 452309860 633233804 791542255 1515238031 1583084510 3030476062 3166169020 6060952124 7576190155 10606666217 15152380310 21213332434 30304760620 42426664868 53033331085 106066662170 212133324340