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11100402324 = 2235112345139
BaseRepresentation
bin10100101011010001…
…01011001010010100
31001122121100212100000
422111220223022110
5140213200333244
65033252051300
7542035601664
oct122550531224
931577325300
1011100402324
114786984620
122199603b30
13107b97c2cb
147743681a4
1544e7c3169
hex295a2b294

11100402324 has 144 divisors (see below), whose sum is σ = 33124815360. Its totient is φ = 3217436640.

The previous prime is 11100402323. The next prime is 11100402329. The reversal of 11100402324 is 42320400111.

It is a super-3 number, since 3×111004023243 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11100402297 and 11100402306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100402323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223347 + ... + 268485.

It is an arithmetic number, because the mean of its divisors is an integer number (230033440).

Almost surely, 211100402324 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 11100402324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562407680).

11100402324 is an abundant number, since it is smaller than the sum of its proper divisors (22024413036).

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

11100402324 is a wasteful number, since it uses less digits than its factorization.

11100402324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45192 (or 45178 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11100402324 its reverse (42320400111), we get a palindrome (53420802435).

The spelling of 11100402324 in words is "eleven billion, one hundred million, four hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 81 92 99 108 132 138 162 198 207 243 253 276 297 324 396 414 486 506 594 621 759 828 891 972 1012 1188 1242 1518 1782 1863 2277 2484 2673 3036 3564 3726 4554 5346 5589 6831 7452 9108 10692 11178 13662 20493 22356 27324 40986 45139 61479 81972 90278 122958 135417 180556 245916 270834 406251 496529 541668 812502 993058 1038197 1218753 1489587 1625004 1986116 2076394 2437506 2979174 3114591 3656259 4152788 4468761 4875012 5958348 6229182 7312518 8937522 9343773 10968777 11420167 12458364 13406283 14625036 17875044 18687546 21937554 22840334 26812566 28031319 34260501 37375092 40218849 43875108 45680668 53625132 56062638 68521002 80437698 84093957 102781503 112125276 120656547 137042004 160875396 168187914 205563006 241313094 252281871 308344509 336375828 411126012 482626188 504563742 616689018 925033527 1009127484 1233378036 1850067054 2775100581 3700134108 5550201162 11100402324