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1131012012 = 22313191632341
BaseRepresentation
bin100001101101001…
…1101111110101100
32220211012100210210
41003122131332230
54304014341022
6304121302420
740012305054
oct10332357654
92824170723
101131012012
11530477079
12276934a10
1315041b4a0
14aa2d2564
156945ea0c
hex4369dfac

1131012012 has 96 divisors (see below), whose sum is σ = 3011249920. Its totient is φ = 327525120.

The previous prime is 1131012011. The next prime is 1131012017. The reversal of 1131012012 is 2102101311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1131012011) 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, 481962 + ... + 484302.

Almost surely, 21131012012 is an apocalyptic number.

1131012012 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 1131012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505624960).

1131012012 is an abundant number, since it is smaller than the sum of its proper divisors (1880237908).

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

1131012012 is a wasteful number, since it uses less digits than its factorization.

1131012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1131012012 is about 33630.5220298466. The cubic root of 1131012012 is about 1041.8912860916.

Adding to 1131012012 its reverse (2102101311), we get a palindrome (3233113323).

The spelling of 1131012012 in words is "one billion, one hundred thirty-one million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 163 228 247 326 489 494 652 741 978 988 1482 1956 2119 2341 2964 3097 4238 4682 6194 6357 7023 8476 9291 9364 12388 12714 14046 18582 25428 28092 30433 37164 40261 44479 60866 80522 88958 91299 120783 121732 133437 161044 177916 182598 241566 266874 365196 381583 483132 533748 578227 763166 1144749 1156454 1526332 1734681 2289498 2312908 3469362 4578996 4960579 6938724 7250077 9921158 14500154 14881737 19842316 21750231 29000308 29763474 43500462 59526948 87000924 94251001 188502002 282753003 377004004 565506006 1131012012