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1331301312 = 26331170039
BaseRepresentation
bin100111101011010…
…0000101111000000
310102210002010002000
41033112200233000
510211303120222
6340034224000
744663605635
oct11726405700
93383063060
101331301312
11623537420
12311a25000
13182a77373
14c8b4c18c
157bd249ac
hex4f5a0bc0

1331301312 has 112 divisors (see below), whose sum is σ = 4269638400. Its totient is φ = 403418880.

The previous prime is 1331301281. The next prime is 1331301317. The reversal of 1331301312 is 2131031331.

It is a happy number.

1331301312 is a `hidden beast` number, since 1 + 331 + 301 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331301317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16012 + ... + 54027.

Almost surely, 21331301312 is an apocalyptic number.

1331301312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331301312 is an abundant number, since it is smaller than the sum of its proper divisors (2938337088).

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

1331301312 is a wasteful number, since it uses less digits than its factorization.

1331301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70071 (or 70055 counting only the distinct ones).

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

The square root of 1331301312 is about 36487.0019596020. The cubic root of 1331301312 is about 1100.0829997978.

Adding to 1331301312 its reverse (2131031331), we get a palindrome (3462332643).

The spelling of 1331301312 in words is "one billion, three hundred thirty-one million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 70039 140078 210117 280156 420234 560312 630351 770429 840468 1120624 1260702 1540858 1680936 1891053 2241248 2311287 2521404 3081716 3361872 3782106 4482496 4622574 5042808 6163432 6723744 6933861 7564212 9245148 10085616 12326864 13447488 13867722 15128424 18490296 20171232 20801583 24653728 27735444 30256848 36980592 40342464 41603166 49307456 55470888 60513696 73961184 83206332 110941776 121027392 147922368 166412664 221883552 332825328 443767104 665650656 1331301312