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23120108424 = 2333757726501
BaseRepresentation
bin10101100010000100…
…001101101110001000
32012200021120012101000
4111202010031232020
5334322221432144
614342104055000
71445636451630
oct254204155610
965607505330
1023120108424
119894775726
124592a64460
132245c2353a
1411948356c0
15904b37769
hex56210db88

23120108424 has 128 divisors (see below), whose sum is σ = 73527148800. Its totient is φ = 6594048000.

The previous prime is 23120108413. The next prime is 23120108441. The reversal of 23120108424 is 42480102132.

23120108424 is a `hidden beast` number, since 2 + 31 + 201 + 0 + 8 + 424 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859174 + ... + 885674.

It is an arithmetic number, because the mean of its divisors is an integer number (574430850).

Almost surely, 223120108424 is an apocalyptic number.

23120108424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23120108424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36763574400).

23120108424 is an abundant number, since it is smaller than the sum of its proper divisors (50407040376).

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

23120108424 is a wasteful number, since it uses less digits than its factorization.

23120108424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27100 (or 27090 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 23120108424 in words is "twenty-three billion, one hundred twenty million, one hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 577 756 1154 1512 1731 2308 3462 4039 4616 5193 6924 8078 10386 12117 13848 15579 16156 20772 24234 26501 31158 32312 36351 41544 48468 53002 62316 72702 79503 96936 106004 109053 124632 145404 159006 185507 212008 218106 238509 290808 318012 371014 436212 477018 556521 636024 715527 742028 872424 954036 1113042 1431054 1484056 1669563 1908072 2226084 2862108 3339126 4452168 5008689 5724216 6678252 10017378 13356504 15291077 20034756 30582154 40069512 45873231 61164308 91746462 107037539 122328616 137619693 183492924 214075078 275239386 321112617 366985848 412859079 428150156 550478772 642225234 825718158 856300312 963337851 1100957544 1284450468 1651436316 1926675702 2568900936 2890013553 3302872632 3853351404 5780027106 7706702808 11560054212 23120108424