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13202023000 = 2353235411061
BaseRepresentation
bin11000100101110011…
…01110001001011000
31021002001221020220211
430102321232021120
5204014204214000
610022005100504
7645105225655
oct142271561130
937061836824
1013202023000
11566521a311
1226853b7734
1313251b6a3a
148d3516c2c
1552405a7ba
hex312e6e258

13202023000 has 128 divisors (see below), whose sum is σ = 32325920640. Its totient is φ = 5037120000.

The previous prime is 13202022989. The next prime is 13202023039. The reversal of 13202023000 is 32020231.

It is a happy number.

It is a super-2 number, since 2×132020230002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12442470 + ... + 12443530.

It is an arithmetic number, because the mean of its divisors is an integer number (252546255).

Almost surely, 213202023000 is an apocalyptic number.

13202023000 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 13202023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162960320).

13202023000 is an abundant number, since it is smaller than the sum of its proper divisors (19123897640).

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

13202023000 is a wasteful number, since it uses less digits than its factorization.

13202023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 13202023000 its reverse (32020231), we get a palindrome (13234043231).

The spelling of 13202023000 in words is "thirteen billion, two hundred two million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 541 575 920 1000 1061 1082 1150 2122 2164 2300 2705 2875 4244 4328 4600 5305 5410 5750 8488 10610 10820 11500 12443 13525 21220 21640 23000 24403 24886 26525 27050 42440 48806 49772 53050 54100 62215 67625 97612 99544 106100 108200 122015 124430 132625 135250 195224 212200 244030 248860 265250 270500 311075 488060 497720 530500 541000 574001 610075 622150 976120 1061000 1148002 1220150 1244300 1555375 2296004 2440300 2488600 2870005 3050375 3110750 4592008 4880600 5740010 6100750 6221500 11480020 12201500 12443000 13202023 14350025 22960040 24403000 26404046 28700050 52808092 57400100 66010115 71750125 105616184 114800200 132020230 143500250 264040460 287000500 330050575 528080920 574001000 660101150 1320202300 1650252875 2640404600 3300505750 6601011500 13202023000