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23003126322 = 2311254158567
BaseRepresentation
bin10101011011000101…
…111101101000110010
32012101010102220002120
4111123011331220302
5334102300020242
614322324455110
71443016230141
oct253305755062
965333386076
1023003126322
119834735300
12455b84a496
132227915167
1411830a3758
158e972b1ec
hex55b17da32

23003126322 has 48 divisors (see below), whose sum is σ = 50663194176. Its totient is φ = 6957640800.

The previous prime is 23003126317. The next prime is 23003126327. The reversal of 23003126322 is 22362130032.

It is an interprime number because it is at equal distance from previous prime (23003126317) and next prime (23003126327).

It is a junction number, because it is equal to n+sod(n) for n = 23003126292 and 23003126301.

It is not an unprimeable number, because it can be changed into a prime (23003126327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 363483 + ... + 422049.

It is an arithmetic number, because the mean of its divisors is an integer number (1055483212).

Almost surely, 223003126322 is an apocalyptic number.

23003126322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23003126322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25331597088).

23003126322 is an abundant number, since it is smaller than the sum of its proper divisors (27660067854).

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

23003126322 is a wasteful number, since it uses less digits than its factorization.

23003126322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59135 (or 59124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23003126322 its reverse (22362130032), we get a palindrome (45365256354).

The spelling of 23003126322 in words is "twenty-three billion, three million, one hundred twenty-six thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 541 726 1082 1623 3246 5951 11902 17853 35706 58567 65461 117134 130922 175701 196383 351402 392766 644237 1288474 1932711 3865422 7086607 14173214 21259821 31684747 42519642 63369494 95054241 190108482 348532217 697064434 1045596651 2091193302 3833854387 7667708774 11501563161 23003126322