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1311101231412 = 2237215114999851
BaseRepresentation
bin10011000101000011101…
…110010010000100110100
311122100011220021102212010
4103011003232102010310
5132440113403401122
62442151145324220
7163503211405500
oct23050356220464
94570156242763
101311101231412
11466042512705
12192125196670
1396836ca6c1b
1447659a8b300
152418880de0c
hex13143b92134

1311101231412 has 144 divisors (see below), whose sum is σ = 3585024576000. Its totient is φ = 371833560000.

The previous prime is 1311101231389. The next prime is 1311101231413. The reversal of 1311101231412 is 2141321011131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311101231413) 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 47 ways as a sum of consecutive naturals, for example, 133088287 + ... + 133098137.

It is an arithmetic number, because the mean of its divisors is an integer number (24896004000).

Almost surely, 21311101231412 is an apocalyptic number.

1311101231412 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 1311101231412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792512288000).

1311101231412 is an abundant number, since it is smaller than the sum of its proper divisors (2273923344588).

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

1311101231412 is a wasteful number, since it uses less digits than its factorization.

1311101231412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 1311101231412 its reverse (2141321011131), we get a palindrome (3452422242543).

The spelling of 1311101231412 in words is "one trillion, three hundred eleven billion, one hundred one million, two hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 151 196 294 302 453 588 604 906 1057 1499 1812 2114 2998 3171 4228 4497 5996 6342 7399 8994 9851 10493 12684 14798 17988 19702 20986 22197 29553 29596 31479 39404 41972 44394 59106 62958 68957 73451 88788 118212 125916 137914 146902 206871 220353 226349 275828 293804 413742 440706 452698 482699 679047 827484 881412 905396 965398 1358094 1448097 1487501 1584443 1930796 2716188 2896194 2975002 3168886 4462503 4753329 5792388 5950004 6337772 8925006 9506658 10412507 11091101 14766649 17850012 19013316 20825014 22182202 29533298 31237521 33273303 41650028 44299947 44364404 59066596 62475042 66546606 72887549 88599894 103366543 124950084 133093212 145775098 177199788 206733086 218662647 291550196 310099629 413466172 437325294 620199258 723565801 874650588 1240398516 1447131602 2170697403 2229763999 2894263204 4341394806 4459527998 6689291997 8682789612 8919055996 13378583994 15608347993 26757167988 31216695986 46825043979 62433391972 93650087958 109258435951 187300175916 218516871902 327775307853 437033743804 655550615706 1311101231412