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23001103240 = 235532269761
BaseRepresentation
bin10101011010111110…
…001111101110001000
32012100222122002221121
4111122332033232020
5334101240300430
614322213245024
71442663103013
oct253276175610
965328562847
1023001103240
119833583335
12455b033774
13222738737b
141182ad837a
158e947ba7a
hex55af8fb88

23001103240 has 96 divisors (see below), whose sum is σ = 53013025800. Its totient is φ = 8981473280.

The previous prime is 23001103199. The next prime is 23001103247. The reversal of 23001103240 is 4230110032.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 145106116 + 22855997124 = 12046^2 + 151182^2 .

It is not an unprimeable number, because it can be changed into a prime (23001103247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30224460 + ... + 30225220.

Almost surely, 223001103240 is an apocalyptic number.

23001103240 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 23001103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26506512900).

23001103240 is an abundant number, since it is smaller than the sum of its proper divisors (30011922560).

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

23001103240 is a wasteful number, since it uses less digits than its factorization.

23001103240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1090 counting only the distinct ones).

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

Adding to 23001103240 its reverse (4230110032), we get a palindrome (27231213272).

The spelling of 23001103240 in words is "twenty-three billion, one million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 269 424 530 538 761 1060 1076 1345 1522 2120 2152 2690 2809 3044 3805 5380 5618 6088 7610 10760 11236 14045 14257 15220 22472 28090 28514 30440 40333 56180 57028 71285 80666 112360 114056 142570 161332 201665 204709 285140 322664 403330 409418 570280 755621 806660 818836 1023545 1511242 1613320 1637672 2047090 2137649 3022484 3778105 4094180 4275298 6044968 7556210 8188360 8550596 10688245 10849577 15112420 17101192 21376490 21699154 30224840 42752980 43398308 54247885 85505960 86796616 108495770 216991540 433983080 575027581 1150055162 2300110324 2875137905 4600220648 5750275810 11500551620 23001103240