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11201323104 = 25322310331637
BaseRepresentation
bin10100110111010011…
…01010000001100000
31001220122021011121200
422123221222001200
5140420014314404
65051255121200
7544402450446
oct123351520140
931818234550
1011201323104
114828944924
122207373200
131096855c4a
14783918b96
154585aa839
hex29ba6a060

11201323104 has 144 divisors (see below), whose sum is σ = 33291209952. Its totient is φ = 3565799424.

The previous prime is 11201323087. The next prime is 11201323117. The reversal of 11201323104 is 40132310211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6841774 + ... + 6843410.

It is an arithmetic number, because the mean of its divisors is an integer number (231188958).

Almost surely, 211201323104 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 11201323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16645604976).

11201323104 is an abundant number, since it is smaller than the sum of its proper divisors (22089886848).

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

11201323104 is a wasteful number, since it uses less digits than its factorization.

11201323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11201323104 its reverse (40132310211), we get a palindrome (51333633315).

The spelling of 11201323104 in words is "eleven billion, two hundred one million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1033 1104 1637 1656 2066 2208 3099 3274 3312 4132 4911 6198 6548 6624 8264 9297 9822 12396 13096 14733 16528 18594 19644 23759 24792 26192 29466 33056 37188 37651 39288 47518 49584 52384 58932 71277 74376 75302 78576 95036 99168 112953 117864 142554 148752 150604 157152 190072 213831 225906 235728 285108 297504 301208 338859 380144 427662 451812 471456 570216 602416 677718 760288 855324 903624 1140432 1204832 1355436 1691021 1710648 1807248 2280864 2710872 3382042 3421296 3614496 5073063 5421744 6764084 6842592 10146126 10843488 13528168 15219189 20292252 27056336 30438378 38893483 40584504 54112672 60876756 77786966 81169008 116680449 121753512 155573932 162338016 233360898 243507024 311147864 350041347 466721796 487014048 622295728 700082694 933443592 1244591456 1400165388 1866887184 2800330776 3733774368 5600661552 11201323104