Search a number
-
+
23303121001000 = 235367334625737
BaseRepresentation
bin1010100110001101011100…
…01111111101101000101000
310001111202102120101002100121
411103012232033331220220
511023244242434013000
6121321150032413024
74623411030204541
oct523065617755050
9101452376332317
1023303121001000
117474886326285
1227443740a7174
131000623411499
145a7c3c9994c8
152a627ac7eb1a
hex1531ae3fda28

23303121001000 has 64 divisors (see below), whose sum is σ = 54610328944080. Its totient is φ = 9307397836800.

The previous prime is 23303121000983. The next prime is 23303121001001. The reversal of 23303121001000 is 10012130332.

It can be written as a sum of positive squares in 8 ways, for example, as 795061122244 + 22508059878756 = 891662^2 + 4744266^2 .

It is not an unprimeable number, because it can be changed into a prime (23303121001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16639869 + ... + 17985868.

Almost surely, 223303121001000 is an apocalyptic number.

23303121001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23303121001000 is an abundant number, since it is smaller than the sum of its proper divisors (31307207943080).

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

23303121001000 is a wasteful number, since it uses less digits than its factorization.

23303121001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34626431 (or 34626417 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23303121001000 its reverse (10012130332), we get a palindrome (23313133131332).

The spelling of 23303121001000 in words is "twenty-three trillion, three hundred three billion, one hundred twenty-one million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 673 1000 1346 2692 3365 5384 6730 13460 16825 26920 33650 67300 84125 134600 168250 336500 673000 34625737 69251474 138502948 173128685 277005896 346257370 692514740 865643425 1385029480 1731286850 3462573700 4328217125 6925147400 8656434250 17312868500 23303121001 34625737000 46606242002 93212484004 116515605005 186424968008 233031210010 466062420020 582578025025 932124840040 1165156050050 2330312100100 2912890125125 4660624200200 5825780250250 11651560500500 23303121001000