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1311221230424 = 237103364362401
BaseRepresentation
bin10011000101001010111…
…000000010101101011000
311122100111021002000112222
4103011022320002231120
5132440340113333144
62442211113323212
7163506166364030
oct23051270025530
94570437060488
101311221230424
114660a4223746
12192159406508
1396855b00561
144766b9a68c0
15241941142ee
hex1314ae02b58

1311221230424 has 64 divisors (see below), whose sum is σ = 2837863242240. Its totient is φ = 556334438400.

The previous prime is 1311221230393. The next prime is 1311221230507. The reversal of 1311221230424 is 4240321221131.

It is a happy number.

It is a super-2 number, since 2×13112212304242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311221230393 and 1311221230402.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20981624 + ... + 21044024.

It is an arithmetic number, because the mean of its divisors is an integer number (44341613160).

Almost surely, 21311221230424 is an apocalyptic number.

1311221230424 is a gapful number since it is divisible by the number (14) 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 1311221230424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418931621120).

1311221230424 is an abundant number, since it is smaller than the sum of its proper divisors (1526642011816).

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

1311221230424 is a wasteful number, since it uses less digits than its factorization.

1311221230424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66160 (or 66156 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1311221230424 its reverse (4240321221131), we get a palindrome (5551542451555).

The spelling of 1311221230424 in words is "one trillion, three hundred eleven billion, two hundred twenty-one million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 3643 5768 7286 14572 25501 29144 51002 62401 102004 124802 204008 249604 375229 436807 499208 750458 873614 1500916 1747228 2626603 3001832 3494456 5253206 6427303 10506412 12854606 21012824 25709212 44991121 51418424 89982242 179964484 227326843 359928968 454653686 909307372 1591287901 1818614744 3182575802 6365151604 12730303208 23414664829 46829329658 93658659316 163902653803 187317318632 327805307606 655610615212 1311221230424