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1332212121 = 32292376771
BaseRepresentation
bin100111101100111…
…1111000110011001
310102211210101110200
41033121333012121
510212021241441
6340105532413
745004421232
oct11731770631
93384711420
101332212121
11623aa9759
123121a4109
13183005ac6
14c8d08089
157be547b6
hex4f67f199

1332212121 has 72 divisors (see below), whose sum is σ = 2106621504. Its totient is φ = 810311040.

The previous prime is 1332212117. The next prime is 1332212131. The reversal of 1332212121 is 1212122331.

1332212121 is a `hidden beast` number, since 1 + 332 + 212 + 121 = 666.

It is not a de Polignac number, because 1332212121 - 22 = 1332212117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1332212094 and 1332212103.

It is not an unprimeable number, because it can be changed into a prime (1332212131) 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 71 ways as a sum of consecutive naturals, for example, 18763516 + ... + 18763586.

It is an arithmetic number, because the mean of its divisors is an integer number (29258632).

Almost surely, 21332212121 is an apocalyptic number.

It is an amenable number.

1332212121 is a deficient number, since it is larger than the sum of its proper divisors (774409383).

1332212121 is a wasteful number, since it uses less digits than its factorization.

1332212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1332212121 is about 36499.4811059007. The cubic root of 1332212121 is about 1100.3338163176. Note that the first 3 decimals are identical.

Adding to 1332212121 its reverse (1212122331), we get a palindrome (2544334452).

The spelling of 1332212121 in words is "one billion, three hundred thirty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 29 37 67 71 87 111 201 213 261 333 603 639 841 1073 1943 2059 2479 2523 2627 3219 4757 5829 6177 7437 7569 7881 9657 14271 17487 18531 22311 23643 31117 42813 56347 59711 71891 76183 93351 137953 169041 176009 179133 215673 228549 280053 413859 507123 528027 537399 647019 685647 1241577 1584081 2084839 2209307 4000637 5104261 6254517 6627921 12001911 15312783 18763551 19883763 36005733 45938349 148023569 444070707 1332212121