Search a number
-
+
232502303202100 = 225283160733715171
BaseRepresentation
bin110100110111010110101001…
…001100010001101100110100
31010111020000002021021011120121
4310313112221030101230310
5220433304204104431400
62142254030014341324
766654510550210411
oct6467265114215464
91114200067234517
10232502303202100
116809a744920498
12220b0606aba844
139c96b47306a29
14415b258907108
151bd2db9c7e21a
hexd375a9311b34

232502303202100 has 144 divisors (see below), whose sum is σ = 511176813590016. Its totient is φ = 91778261872000.

The previous prime is 232502303202007. The next prime is 232502303202163. The reversal of 232502303202100 is 1202303205232.

232502303202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44962732515 + ... + 44962737685.

It is an arithmetic number, because the mean of its divisors is an integer number (3549838983264).

Almost surely, 2232502303202100 is an apocalyptic number.

232502303202100 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 232502303202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255588406795008).

232502303202100 is an abundant number, since it is smaller than the sum of its proper divisors (278674510387916).

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

232502303202100 is a wasteful number, since it uses less digits than its factorization.

232502303202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10246 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 232502303202100 its reverse (1202303205232), we get a palindrome (233704606407332).

The spelling of 232502303202100 in words is "two hundred thirty-two trillion, five hundred two billion, three hundred three million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1607 1660 2075 3214 3371 4150 5171 6428 6742 8035 8300 10342 13484 16070 16855 20684 25855 32140 33710 40175 51710 67420 80350 84275 103420 129275 133381 160700 168550 258550 266762 279793 337100 429193 517100 533524 559586 666905 858386 1119172 1333810 1398965 1716772 2145965 2667620 2797930 3334525 4291930 5417197 5595860 6669050 6994825 8309797 8583860 10729825 10834394 13338100 13989650 16619594 17431441 21459650 21668788 27085985 27979300 33239188 34862882 41548985 42919300 54171970 69725764 83097970 87157205 108343940 135429925 166195940 174314410 207744925 270859850 348628820 415489850 435786025 449627351 541719700 689713151 830979700 871572050 899254702 1379426302 1446809603 1743144100 1798509404 2248136755 2758852604 2893619206 3448565755 4496273510 5787238412 6897131510 7234048015 8992547020 11240683775 13794263020 14468096030 17242828775 22481367550 28012325687 28936192060 34485657550 36170240075 44962735100 56024651374 68971315100 72340480150 112049302748 140061628435 144680960300 280123256870 560246513740 700308142175 1400616284350 2325023032021 2801232568700 4650046064042 9300092128084 11625115160105 23250230320210 46500460640420 58125575800525 116251151601050 232502303202100