Search a number
-
+
23153142130100 = 22521912185864279
BaseRepresentation
bin1010100001110110000101…
…10011111110010110110100
310000222102022021200001011022
411100323002303332112310
511013320113341130400
6121124223501000312
74606521305634263
oct520730263762664
9100872267601138
1023153142130100
1174172131497a4
12271b298553098
13cbc44134c368
145a0891d485da
152a23ede75b85
hex150ec2cfe5b4

23153142130100 has 36 divisors (see below), whose sum is σ = 52886650975200. Its totient is φ = 8773822280160.

The previous prime is 23153142130039. The next prime is 23153142130103. The reversal of 23153142130100 is 103124135132.

It is a super-3 number, since 3×231531421301003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 23153142130100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23153142130103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6092930240 + ... + 6092934039.

It is an arithmetic number, because the mean of its divisors is an integer number (1469073638200).

Almost surely, 223153142130100 is an apocalyptic number.

23153142130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23153142130100 is an abundant number, since it is smaller than the sum of its proper divisors (29733508845100).

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

23153142130100 is a wasteful number, since it uses less digits than its factorization.

23153142130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12185864312 (or 12185864305 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 23153142130100 its reverse (103124135132), we get a palindrome (23256266265232).

The spelling of 23153142130100 in words is "twenty-three trillion, one hundred fifty-three billion, one hundred forty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 12185864279 24371728558 48743457116 60929321395 121858642790 231531421301 243717285580 304646606975 463062842602 609293213950 926125685204 1157657106505 1218586427900 2315314213010 4630628426020 5788285532525 11576571065050 23153142130100