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10102332300 = 2235219293281
BaseRepresentation
bin10010110100010010…
…10101101110001100
3222002001022122122120
421122021111232030
5131142144113200
64350240012540
7505226256564
oct113211255614
928061278576
1010102332300
114314559865
121b5b301150
13c4cc69728
146bb99dda4
153e1d739a0
hex25a255b8c

10102332300 has 108 divisors (see below), whose sum is σ = 30849103656. Its totient is φ = 2552140800.

The previous prime is 10102332287. The next prime is 10102332349. The reversal of 10102332300 is 323320101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102332300.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61660 + ... + 154940.

Almost surely, 210102332300 is an apocalyptic number.

10102332300 is a gapful number since it is divisible by the number (10) 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 10102332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424551828).

10102332300 is an abundant number, since it is smaller than the sum of its proper divisors (20746771356).

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

10102332300 is a wasteful number, since it uses less digits than its factorization.

10102332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93336 (or 93310 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10102332300 its reverse (323320101), we get a palindrome (10425652401).

The spelling of 10102332300 in words is "ten billion, one hundred two million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 361 380 475 570 722 950 1083 1140 1425 1444 1805 1900 2166 2850 3610 4332 5415 5700 7220 9025 10830 18050 21660 27075 36100 54150 93281 108300 186562 279843 373124 466405 559686 932810 1119372 1399215 1772339 1865620 2332025 2798430 3544678 4664050 5317017 5596860 6996075 7089356 8861695 9328100 10634034 13992150 17723390 21268068 26585085 27984300 33674441 35446780 44308475 53170170 67348882 88616950 101023323 106340340 132925425 134697764 168372205 177233900 202046646 265850850 336744410 404093292 505116615 531701700 673488820 841861025 1010233230 1683722050 2020466460 2525583075 3367444100 5051166150 10102332300