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102203120520 = 2334559534647
BaseRepresentation
bin101111100101111000…
…1111101101110001000
3100202210201012110110000
41133023301331232020
53133302444324040
6114541303323000
710245455122254
oct1371361755610
9322721173400
10102203120520
113a386aa7166
1217983750460
13983a094557
144d378b1264
1529d2871130
hex17cbc7db88

102203120520 has 160 divisors (see below), whose sum is σ = 349339003200. Its totient is φ = 26792180352.

The previous prime is 102203120507. The next prime is 102203120521. The reversal of 102203120520 is 25021302201.

102203120520 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 3 + 120 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102203120493 and 102203120502.

It is not an unprimeable number, because it can be changed into a prime (102203120521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76164 + ... + 458483.

It is an arithmetic number, because the mean of its divisors is an integer number (2183368770).

Almost surely, 2102203120520 is an apocalyptic number.

102203120520 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 102203120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174669501600).

102203120520 is an abundant number, since it is smaller than the sum of its proper divisors (247135882680).

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

102203120520 is a wasteful number, since it uses less digits than its factorization.

102203120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534729 (or 534716 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 102203120520 its reverse (25021302201), we get a palindrome (127224422721).

The spelling of 102203120520 in words is "one hundred two billion, two hundred three million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 81 90 108 118 120 135 162 177 180 216 236 270 295 324 354 360 405 472 531 540 590 648 708 810 885 1062 1080 1180 1416 1593 1620 1770 2124 2360 2655 3186 3240 3540 4248 4779 5310 6372 7080 7965 9558 10620 12744 15930 19116 21240 23895 31860 38232 47790 63720 95580 191160 534647 1069294 1603941 2138588 2673235 3207882 4277176 4811823 5346470 6415764 8019705 9623646 10692940 12831528 14435469 16039410 19247292 21385880 24059115 28870938 31544173 32078820 38494584 43306407 48118230 57741876 63088346 64157640 72177345 86612814 94632519 96236460 115483752 126176692 144354690 157720865 173225628 189265038 192472920 216532035 252353384 283897557 288709380 315441730 346451256 378530076 433064070 473162595 567795114 577418760 630883460 757060152 851692671 866128140 946325190 1135590228 1261766920 1419487785 1703385342 1732256280 1892650380 2271180456 2555078013 2838975570 3406770684 3785300760 4258463355 5110156026 5677951140 6813541368 8516926710 10220312052 11355902280 12775390065 17033853420 20440624104 25550780130 34067706840 51101560260 102203120520