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1351064112 = 24361677197
BaseRepresentation
bin101000010000111…
…1001101000110000
310111011021011112120
41100201321220300
510231333022422
6342021554240
745323566266
oct12041715060
93434234476
101351064112
11633705512
12318575980
13186ba6828
14cb614436
157d92a45c
hex50879a30

1351064112 has 160 divisors (see below), whose sum is σ = 3688763904. Its totient is φ = 425779200.

The previous prime is 1351064107. The next prime is 1351064119. The reversal of 1351064112 is 2114601531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1351064119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13928448 + ... + 13928544.

Almost surely, 21351064112 is an apocalyptic number.

1351064112 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 1351064112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844381952).

1351064112 is an abundant number, since it is smaller than the sum of its proper divisors (2337699792).

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

1351064112 is a wasteful number, since it uses less digits than its factorization.

1351064112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1351064112 is about 36756.8240194933. The cubic root of 1351064112 is about 1105.4997601524.

Adding to 1351064112 its reverse (2114601531), we get a palindrome (3465665643).

The spelling of 1351064112 in words is "one billion, three hundred fifty-one million, sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 67 71 97 122 134 142 183 194 201 213 244 268 284 291 366 388 402 426 488 536 568 582 732 776 804 852 976 1072 1136 1164 1464 1552 1608 1704 2328 2928 3216 3408 4087 4331 4656 4757 5917 6499 6887 8174 8662 9514 11834 12261 12993 12998 13774 14271 16348 17324 17751 19028 19497 20661 23668 24522 25986 25996 27548 28542 32696 34648 35502 38056 38994 41322 47336 49044 51972 51992 55096 57084 65392 69296 71004 76112 77988 82644 94672 98088 103944 103984 110192 114168 142008 155976 165288 196176 207888 228336 284016 290177 311952 330576 396439 420107 461429 580354 792878 840214 870531 922858 1160708 1189317 1260321 1384287 1585756 1680428 1741062 1845716 2321416 2378634 2520642 2768574 3171512 3360856 3482124 3691432 4642832 4757268 5041284 5537148 6343024 6721712 6964248 7382864 9514536 10082568 11074296 13928496 19029072 20165136 22148592 28147169 56294338 84441507 112588676 168883014 225177352 337766028 450354704 675532056 1351064112