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1331042232 = 2331329157937
BaseRepresentation
bin100111101010110…
…0001011110111000
310102202120221200110
41033111201132320
510211221322412
6340024504320
744661446412
oct11725413670
93382527613
101331042232
1162337a803
1231191b0a0
131829b6470
14c8ac19b2
157bcc2d3c
hex4f5617b8

1331042232 has 128 divisors (see below), whose sum is σ = 3734740800. Its totient is φ = 392491008.

The previous prime is 1331042231. The next prime is 1331042233. The reversal of 1331042232 is 2322401331.

It is an interprime number because it is at equal distance from previous prime (1331042231) and next prime (1331042233).

It is a junction number, because it is equal to n+sod(n) for n = 1331042199 and 1331042208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331042231) 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 31 ways as a sum of consecutive naturals, for example, 1420068 + ... + 1421004.

Almost surely, 21331042232 is an apocalyptic number.

1331042232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331042232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867370400).

1331042232 is an abundant number, since it is smaller than the sum of its proper divisors (2403698568).

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

1331042232 is a wasteful number, since it uses less digits than its factorization.

1331042232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1331042232 is about 36483.4514814594. The cubic root of 1331042232 is about 1100.0116340367.

Adding to 1331042232 its reverse (2322401331), we get a palindrome (3653443563).

The spelling of 1331042232 in words is "one billion, three hundred thirty-one million, forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 157 174 232 312 314 348 377 471 628 696 754 937 942 1131 1256 1508 1874 1884 2041 2262 2811 3016 3748 3768 4082 4524 4553 5622 6123 7496 8164 9048 9106 11244 12181 12246 13659 16328 18212 22488 24362 24492 27173 27318 36424 36543 48724 48984 54346 54636 59189 73086 81519 97448 108692 109272 118378 146172 147109 163038 177567 217384 236756 292344 294218 326076 353249 355134 441327 473512 588436 652152 706498 710268 882654 1059747 1176872 1412996 1420536 1765308 1912417 2119494 2825992 3530616 3824834 4238988 4266161 5737251 7649668 8477976 8532322 11474502 12798483 15299336 17064644 22949004 25596966 34129288 45898008 51193932 55460093 102387864 110920186 166380279 221840372 332760558 443680744 665521116 1331042232