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23001123024 = 24321179183809
BaseRepresentation
bin10101011010111110…
…010100100011010000
32012100222200010002100
4111122332110203100
5334101241414044
614322213520400
71442663214465
oct253276244320
965328603070
1023001123024
119833597190
12455b043100
132227393389
141182b0166c
158e9482869
hex55af948d0

23001123024 has 120 divisors (see below), whose sum is σ = 71112412800. Its totient is φ = 6881771520.

The previous prime is 23001123023. The next prime is 23001123031. The reversal of 23001123024 is 42032110032.

It is a super-3 number, since 3×230011230243 (a number of 32 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 = 23001122988 and 23001123006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001123023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33232 + ... + 217040.

It is an arithmetic number, because the mean of its divisors is an integer number (592603440).

Almost surely, 223001123024 is an apocalyptic number.

23001123024 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 23001123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35556206400).

23001123024 is an abundant number, since it is smaller than the sum of its proper divisors (48111289776).

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

23001123024 is a wasteful number, since it uses less digits than its factorization.

23001123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183913 (or 183904 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23001123024 its reverse (42032110032), we get a palindrome (65033233056).

The spelling of 23001123024 in words is "twenty-three billion, one million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 79 88 99 132 144 158 176 198 237 264 316 396 474 528 632 711 792 869 948 1264 1422 1584 1738 1896 2607 2844 3476 3792 5214 5688 6952 7821 10428 11376 13904 15642 20856 31284 41712 62568 125136 183809 367618 551427 735236 1102854 1470472 1654281 2021899 2205708 2940944 3308562 4043798 4411416 6065697 6617124 8087596 8822832 12131394 13234248 14520911 16175192 18197091 24262788 26468496 29041822 32350384 36394182 43562733 48525576 58083644 72788364 87125466 97051152 116167288 130688199 145576728 159730021 174250932 232334576 261376398 291153456 319460042 348501864 479190063 522752796 638920084 697003728 958380126 1045505592 1277840168 1437570189 1916760252 2091011184 2555680336 2875140378 3833520504 5750280756 7667041008 11500561512 23001123024