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23000451320 = 23571119737907
BaseRepresentation
bin10101011010111011…
…110000100011111000
32012100221101222200102
4111122323300203320
5334101103420240
614322151254532
71442654416250
oct253273604370
965327358612
1023000451320
119833178560
12455a97a448
1322271b9712
1411829a8960
158e939d815
hex55aef08f8

23000451320 has 128 divisors (see below), whose sum is σ = 64849973760. Its totient is φ = 7132392960.

The previous prime is 23000451317. The next prime is 23000451361. The reversal of 23000451320 is 2315400032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23000451292 and 23000451301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587807 + ... + 625713.

It is an arithmetic number, because the mean of its divisors is an integer number (506640420).

Almost surely, 223000451320 is an apocalyptic number.

23000451320 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 23000451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32424986880).

23000451320 is an abundant number, since it is smaller than the sum of its proper divisors (41849522440).

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

23000451320 is a wasteful number, since it uses less digits than its factorization.

23000451320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38133 (or 38129 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 23000451320 its reverse (2315400032), we get a palindrome (25315851352).

The spelling of 23000451320 in words is "twenty-three billion, four hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 197 220 280 308 385 394 440 616 770 788 985 1379 1540 1576 1970 2167 2758 3080 3940 4334 5516 6895 7880 8668 10835 11032 13790 15169 17336 21670 27580 30338 37907 43340 55160 60676 75814 75845 86680 121352 151628 151690 189535 265349 303256 303380 379070 416977 530698 606760 758140 833954 1061396 1326745 1516280 1667908 2084885 2122792 2653490 2918839 3335816 4169770 5306980 5837678 7467679 8339540 10613960 11675356 14594195 14935358 16679080 23350712 29188390 29870716 37338395 52273753 58376780 59741432 74676790 82144469 104547506 116753560 149353580 164288938 209095012 261368765 298707160 328577876 410722345 418190024 522737530 575011283 657155752 821444690 1045475060 1150022566 1642889380 2090950120 2300045132 2875056415 3285778760 4600090264 5750112830 11500225660 23000451320