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1311403212 = 2232747263421
BaseRepresentation
bin100111000101010…
…0110110011001100
310101101122012000100
41032022212303030
510141204400322
6334043531100
744332512660
oct11612466314
93341565010
101311403212
11613286709
12307229a90
1317b8cb442
14c624c8a0
157a1e3dac
hex4e2a6ccc

1311403212 has 144 divisors (see below), whose sum is σ = 3893041152. Its totient is φ = 364452480.

The previous prime is 1311403201. The next prime is 1311403217. The reversal of 1311403212 is 2123041131.

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

It is not an unprimeable number, because it can be changed into a prime (1311403217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3114762 + ... + 3115182.

It is an arithmetic number, because the mean of its divisors is an integer number (27035008).

Almost surely, 21311403212 is an apocalyptic number.

1311403212 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 1311403212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946520576).

1311403212 is an abundant number, since it is smaller than the sum of its proper divisors (2581637940).

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

1311403212 is a wasteful number, since it uses less digits than its factorization.

1311403212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1311403212 is about 36213.3015893332. The cubic root of 1311403212 is about 1094.5747219469.

Adding to 1311403212 its reverse (2123041131), we get a palindrome (3434444343).

The spelling of 1311403212 in words is "one billion, three hundred eleven million, four hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 263 282 329 421 423 526 564 658 789 842 846 987 1052 1263 1316 1578 1684 1692 1841 1974 2367 2526 2947 2961 3156 3682 3789 3948 4734 5052 5523 5894 5922 7364 7578 8841 9468 11046 11788 11844 12361 15156 16569 17682 19787 22092 24722 26523 33138 35364 37083 39574 49444 53046 59361 66276 74166 79148 86527 106092 110723 111249 118722 138509 148332 173054 178083 221446 222498 237444 259581 277018 332169 346108 356166 415527 442892 444996 519162 554036 664338 712332 775061 778743 831054 996507 1038324 1246581 1328676 1550122 1557486 1662108 1993014 2325183 2493162 3100244 3114972 3986028 4650366 4986324 5203981 6975549 9300732 10407962 13951098 15611943 20815924 27902196 31223886 36427867 46835829 62447772 72855734 93671658 109283601 145711468 187343316 218567202 327850803 437134404 655701606 1311403212