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23001124000 = 255337155413
BaseRepresentation
bin10101011010111110…
…010100110010100000
32012100222200011102111
4111122332110302200
5334101241432000
614322213525104
71442663220361
oct253276246240
965328604374
1023001124000
119833597998
12455b043794
13222739395a
141182b01b68
158e9482cba
hex55af94ca0

23001124000 has 96 divisors (see below), whose sum is σ = 58041534096. Its totient is φ = 8951731200.

The previous prime is 23001123997. The next prime is 23001124019. The reversal of 23001124000 is 42110032.

It can be written as a sum of positive squares in 8 ways, for example, as 641304976 + 22359819024 = 25324^2 + 149532^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 70294 + ... + 225706.

Almost surely, 223001124000 is an apocalyptic number.

23001124000 is a gapful number since it is divisible by the number (20) 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 23001124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29020767048).

23001124000 is an abundant number, since it is smaller than the sum of its proper divisors (35040410096).

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

23001124000 is a wasteful number, since it uses less digits than its factorization.

23001124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155475 (or 155457 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 23001124000 its reverse (42110032), we get a palindrome (23043234032).

The spelling of 23001124000 in words is "twenty-three billion, one million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1850 2000 2960 3700 4000 4625 5920 7400 9250 14800 18500 29600 37000 74000 148000 155413 310826 621652 777065 1243304 1554130 2486608 3108260 3885325 4973216 5750281 6216520 7770650 11500562 12433040 15541300 19426625 23001124 24866080 28751405 31082600 38853250 46002248 57502810 62165200 77706500 92004496 115005620 124330400 143757025 155413000 184008992 230011240 287514050 310826000 460022480 575028100 621652000 718785125 920044960 1150056200 1437570250 2300112400 2875140500 4600224800 5750281000 11500562000 23001124000