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1230131133 = 327211223053
BaseRepresentation
bin100100101010010…
…0100111110111101
310011201201010200100
41021110210332331
510004403144013
6322021551313
742324641100
oct11124447675
93151633610
101230131133
11581416800
122a3b75539
13167b1405a
14b9534737
1572edd473
hex49524fbd

1230131133 has 54 divisors (see below), whose sum is σ = 2272040862. Its totient is φ = 639001440.

The previous prime is 1230131129. The next prime is 1230131153. The reversal of 1230131133 is 3311310321.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1153077849 + 77053284 = 33957^2 + 8778^2 .

It is not a de Polignac number, because 1230131133 - 22 = 1230131129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230131153) 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 53 ways as a sum of consecutive naturals, for example, 41835 + ... + 64887.

Almost surely, 21230131133 is an apocalyptic number.

It is an amenable number.

1230131133 is a deficient number, since it is larger than the sum of its proper divisors (1041909729).

1230131133 is a wasteful number, since it uses less digits than its factorization.

1230131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23095 (or 23074 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1230131133 is about 35073.2253007903. The cubic root of 1230131133 is about 1071.4793445730.

Adding to 1230131133 its reverse (3311310321), we get a palindrome (4541441454).

It can be divided in two parts, 12301 and 31133, that added together give a palindrome (43434).

The spelling of 1230131133 in words is "one billion, two hundred thirty million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5929 7623 17787 23053 53361 69159 161371 207477 253583 484113 760749 1129597 1452339 1775081 2282247 2789413 3388791 5325243 8368239 10166373 12425567 15975729 19525891 25104717 37276701 58577673 111830103 136681237 175733019 410043711 1230131133