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11123121024 = 273253182179
BaseRepresentation
bin10100101101111110…
…10101101110000000
31001201012010002112100
422112333111232000
5140240004333044
65035423030400
7542432653161
oct122677255600
931635102470
1011123121024
114798791504
1221a513b400
1310835a5022
1477739d768
154517ae869
hex296fd5b80

11123121024 has 96 divisors (see below), whose sum is σ = 32612041800. Its totient is φ = 3637730304.

The previous prime is 11123121007. The next prime is 11123121091. The reversal of 11123121024 is 42012132111.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 11123120988 and 11123121006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30034 + ... + 152145.

Almost surely, 211123121024 is an apocalyptic number.

It is an amenable number.

11123121024 is an abundant number, since it is smaller than the sum of its proper divisors (21488920776).

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

11123121024 is a wasteful number, since it uses less digits than its factorization.

11123121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182252 (or 182237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11123121024 its reverse (42012132111), we get a palindrome (53135253135).

The spelling of 11123121024 in words is "eleven billion, one hundred twenty-three million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2544 3392 3816 5088 6784 7632 10176 15264 20352 30528 61056 182179 364358 546537 728716 1093074 1457432 1639611 2186148 2914864 3279222 4372296 5829728 6558444 8744592 9655487 11659456 13116888 17489184 19310974 23318912 26233776 28966461 34978368 38621948 52467552 57932922 69956736 77243896 86899383 104935104 115865844 154487792 173798766 209870208 231731688 308975584 347597532 463463376 617951168 695195064 926926752 1235902336 1390390128 1853853504 2780780256 3707707008 5561560512 11123121024