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211202412433 = 37229241710313
BaseRepresentation
bin1100010010110010100…
…1010000111110010001
3202012011001121012101121
43010230221100332101
511430020304144213
6241005224402241
721154535612365
oct3045451207621
9665131535347
10211202412433
118163028a4a1
1234b23316381
1316bbb166b9c
14a317c012a5
155761b9788d
hex312ca50f91

211202412433 has 16 divisors (see below), whose sum is σ = 217969062480. Its totient is φ = 204492404736.

The previous prime is 211202412413. The next prime is 211202412469. The reversal of 211202412433 is 334214202112.

It can be written as a sum of positive squares in 8 ways, for example, as 99063156049 + 112139256384 = 314743^2 + 334872^2 .

It is a cyclic number.

It is not a de Polignac number, because 211202412433 - 25 = 211202412401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211202412398 and 211202412407.

It is not an unprimeable number, because it can be changed into a prime (211202412413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20474085 + ... + 20484397.

It is an arithmetic number, because the mean of its divisors is an integer number (13623066405).

Almost surely, 2211202412433 is an apocalyptic number.

It is an amenable number.

211202412433 is a deficient number, since it is larger than the sum of its proper divisors (6766650047).

211202412433 is a wasteful number, since it uses less digits than its factorization.

211202412433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 211202412433 its reverse (334214202112), we get a palindrome (545416614545).

The spelling of 211202412433 in words is "two hundred eleven billion, two hundred two million, four hundred twelve thousand, four hundred thirty-three".

Divisors: 1 37 229 2417 8473 10313 89429 381581 553493 2361677 20479241 24926521 87382049 922281277 5708173309 211202412433