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23003021140 = 22511314378439
BaseRepresentation
bin10101011011000101…
…100011111101010100
32012101010020112210221
4111123011203331110
5334102233134030
614322322324124
71443015311401
oct253305437524
965333215727
1023003021140
119834673280
12455b7b9644
1322278a9318
1411830772a8
158e9709e7a
hex55b163f54

23003021140 has 96 divisors (see below), whose sum is σ = 55663534080. Its totient is φ = 7906550400.

The previous prime is 23003021131. The next prime is 23003021143. The reversal of 23003021140 is 4112030032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003021143) 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 31 ways as a sum of consecutive naturals, for example, 254041 + ... + 332479.

It is an arithmetic number, because the mean of its divisors is an integer number (579828480).

Almost surely, 223003021140 is an apocalyptic number.

23003021140 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 23003021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27831767040).

23003021140 is an abundant number, since it is smaller than the sum of its proper divisors (32660512940).

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

23003021140 is a wasteful number, since it uses less digits than its factorization.

23003021140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78533 (or 78531 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23003021140 its reverse (4112030032), we get a palindrome (27115051172).

The spelling of 23003021140 in words is "twenty-three billion, three million, twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 43 44 55 62 86 110 124 155 172 215 220 310 341 430 473 620 682 860 946 1333 1364 1705 1892 2365 2666 3410 4730 5332 6665 6820 9460 13330 14663 26660 29326 58652 73315 78439 146630 156878 293260 313756 392195 784390 862829 1568780 1725658 2431609 3372877 3451316 4314145 4863218 6745754 8628290 9726436 12158045 13491508 16864385 17256580 24316090 26747699 33728770 37101647 48632180 53495398 67457540 74203294 104559187 106990796 133738495 148406588 185508235 209118374 267476990 371016470 418236748 522795935 534953980 742032940 1045591870 1150151057 2091183740 2300302114 4600604228 5750755285 11501510570 23003021140