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1311242411124 = 2232291788170241
BaseRepresentation
bin10011000101001100001…
…000110101110001110100
311122100112201221010000100
4103011030020311301310
5132440411024123444
62442213151314100
7163506544411242
oct23051410656164
94570481833010
101311242411124
11466105180058
1219216451b930
139685a308209
144767071b792
1524195de9e69
hex1314c235c74

1311242411124 has 72 divisors (see below), whose sum is σ = 3429064122120. Its totient is φ = 421979443200.

The previous prime is 1311242411117. The next prime is 1311242411147. The reversal of 1311242411124 is 4211142421131.

1311242411124 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 242 + 411 + 1 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 567822531600 + 743419879524 = 753540^2 + 862218^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18632644 + ... + 18702884.

It is an arithmetic number, because the mean of its divisors is an integer number (47625890585).

Almost surely, 21311242411124 is an apocalyptic number.

It is an amenable number.

1311242411124 is an abundant number, since it is smaller than the sum of its proper divisors (2117821710996).

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

1311242411124 is a wasteful number, since it uses less digits than its factorization.

1311242411124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88161 (or 88156 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 1311242411124 its reverse (4211142421131), we get a palindrome (5522384832255).

The spelling of 1311242411124 in words is "one trillion, three hundred eleven billion, two hundred forty-two million, four hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 17881 35762 53643 70241 71524 107286 140482 160929 210723 214572 280964 321858 421446 518549 632169 643716 842892 1037098 1264338 1555647 2036989 2074196 2528676 3111294 4073978 4666941 6110967 6222588 8147956 9333882 12221934 18332901 18667764 24443868 36665802 73331604 1255979321 2511958642 3767937963 5023917284 7535875926 11303813889 15071751852 22607627778 36423400309 45215255556 72846800618 109270200927 145693601236 218540401854 327810602781 437080803708 655621205562 1311242411124