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212133001341 = 3598923115827
BaseRepresentation
bin1100010110010000011…
…1001011100001111101
3202021112220200000101110
43011210013023201331
511433422022020331
6241241430232233
721216565521522
oct3054407134175
9667486600343
10212133001341
1181a68604738
1235142ab5679
1317008bb0601
14a3a5641149
1557b8717946
hex31641cb87d

212133001341 has 32 divisors (see below), whose sum is σ = 291045657600. Its totient is φ = 137379876480.

The previous prime is 212133001337. The next prime is 212133001343. The reversal of 212133001341 is 143100331212.

212133001341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212133001341 - 22 = 212133001337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133001343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36402270 + ... + 36408096.

It is an arithmetic number, because the mean of its divisors is an integer number (9095176800).

Almost surely, 2212133001341 is an apocalyptic number.

It is an amenable number.

212133001341 is a deficient number, since it is larger than the sum of its proper divisors (78912656259).

212133001341 is a wasteful number, since it uses less digits than its factorization.

212133001341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289.

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

Adding to 212133001341 its reverse (143100331212), we get a palindrome (355233332553).

The spelling of 212133001341 in words is "two hundred twelve billion, one hundred thirty-three million, one thousand, three hundred forty-one".

Divisors: 1 3 59 89 177 267 2311 5251 5827 6933 15753 17481 136349 205679 343793 409047 518603 617037 1031379 1555809 12135061 13466197 30597577 36405183 40398591 91792731 794505623 1198491533 2383516869 3595474599 70711000447 212133001341