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1311056530404 = 2232953283251177
BaseRepresentation
bin10011000101000001000…
…011110000101111100100
311122100001210011101121020
4103011001003300233210
5132440020432433104
62442142511251140
7163502126431035
oct23050103605744
94570053141536
101311056530404
1146601a261125
12192112219ab0
139682a95571a
1447653b72a8c
152418492e2d9
hex131410f0be4

1311056530404 has 96 divisors (see below), whose sum is σ = 3235735278720. Its totient is φ = 412523424768.

The previous prime is 1311056530369. The next prime is 1311056530411. The reversal of 1311056530404 is 4040356501131.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 5094064 + ... + 5345240.

It is an arithmetic number, because the mean of its divisors is an integer number (33705575820).

Almost surely, 21311056530404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311056530404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617867639360).

1311056530404 is an abundant number, since it is smaller than the sum of its proper divisors (1924678748316).

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

1311056530404 is a wasteful number, since it uses less digits than its factorization.

1311056530404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251549 (or 251547 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 1311056530404 in words is "one trillion, three hundred eleven billion, fifty-six million, five hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 283 318 348 566 636 849 1132 1537 1698 3074 3396 4611 6148 8207 9222 14999 16414 18444 24621 29998 32828 44997 49242 59996 89994 98484 179988 251177 434971 502354 753531 869942 1004708 1304913 1507062 1739884 2609826 3014124 5219652 7284133 13312381 14568266 21852399 26624762 29136532 39937143 43704798 53249524 71083091 79874286 87409596 142166182 159748572 213249273 284332364 386059049 426498546 772118098 852997092 1158177147 1544236196 2061409639 2316354294 3767403823 4122819278 4632708588 6184228917 7534807646 8245638556 11302211469 12368457834 15069615292 22604422938 24736915668 45208845876 109254710867 218509421734 327764132601 437018843468 655528265202 1311056530404