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11320534404 = 22342322572
BaseRepresentation
bin10101000101100000…
…11010010110000100
31002012221120201210000
422202300122112010
5141141024100104
65111154201300
7550350645324
oct124260322604
932187521700
1011320534404
11488a168063
12223b283230
1310b5464b8a
147956ab284
15463ca7639
hex2a2c1a584

11320534404 has 135 divisors (see below), whose sum is σ = 31057602037. Its totient is φ = 3595401216.

The previous prime is 11320534397. The next prime is 11320534429. The reversal of 11320534404 is 40443502311.

It is a happy number.

The square root of 11320534404 is 106398.

It is a perfect power (a square), and thus also a powerful number.

11320534404 is a `hidden beast` number, since 1 + 13 + 205 + 3 + 440 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11145024900 + 175509504 = 105570^2 + 13248^2 .

It is a super-3 number, since 3×113205344043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44048644 + ... + 44048900.

Almost surely, 211320534404 is an apocalyptic number.

11320534404 is the 106398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320534404

11320534404 is an abundant number, since it is smaller than the sum of its proper divisors (19737067633).

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

11320534404 is an equidigital number, since it uses as much as digits as its factorization.

11320534404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 11320534404 in words is "eleven billion, three hundred twenty million, five hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 257 276 324 414 514 529 621 771 828 1028 1058 1242 1542 1587 1863 2116 2313 2484 3084 3174 3726 4626 4761 5911 6348 6939 7452 9252 9522 11822 13878 14283 17733 19044 20817 23644 27756 28566 35466 41634 42849 53199 57132 66049 70932 83268 85698 106398 132098 135953 159597 171396 198147 212796 264196 271906 319194 396294 407859 478791 543812 594441 638388 792588 815718 957582 1188882 1223577 1519127 1631436 1783323 1915164 2377764 2447154 3038254 3566646 3670731 4557381 4894308 5349969 6076508 7133292 7341462 9114762 10699938 11012193 13672143 14682924 18229524 21399876 22024386 27344286 34939921 41016429 44048772 54688572 69879842 82032858 104819763 123049287 139759684 164065716 209639526 246098574 314459289 419279052 492197148 628918578 943377867 1257837156 1886755734 2830133601 3773511468 5660267202 11320534404