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202313102212000 = 2553132299279737
BaseRepresentation
bin101110000000000010110000…
…100101110011101110100000
3222112022221110221112021020201
4232000002300211303232200
5203004144213131241000
61554141204525314544
760420432162600103
oct5600026045635640
9875287427467221
10202313102212000
11595105609a820a
121a835774705a54
1388b7074c60100
1437d601378a73a
15185c964b1c96a
hexb800b0973ba0

202313102212000 has 144 divisors (see below), whose sum is σ = 538261791506712. Its totient is φ = 74700222105600.

The previous prime is 202313102211953. The next prime is 202313102212027. The reversal of 202313102212000 is 212201313202.

It can be written as a sum of positive squares in 12 ways, for example, as 9615283125904 + 192697819086096 = 3100852^2 + 13881564^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148963869 + ... + 150315868.

Almost surely, 2202313102212000 is an apocalyptic number.

202313102212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202313102212000 is an abundant number, since it is smaller than the sum of its proper divisors (335948689294712).

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

202313102212000 is a wasteful number, since it uses less digits than its factorization.

202313102212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299279788 (or 299279757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 202313102212000 its reverse (212201313202), we get a palindrome (202525303525202).

The spelling of 202313102212000 in words is "two hundred two trillion, three hundred thirteen billion, one hundred two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 169 200 208 250 260 325 338 400 416 500 520 650 676 800 845 1000 1040 1300 1352 1625 1690 2000 2080 2600 2704 3250 3380 4000 4225 5200 5408 6500 6760 8450 10400 13000 13520 16900 21125 26000 27040 33800 42250 52000 67600 84500 135200 169000 338000 676000 299279737 598559474 1197118948 1496398685 2394237896 2992797370 3890636581 4788475792 5985594740 7481993425 7781273162 9576951584 11971189480 14963986850 15562546324 19453182905 23942378960 29927973700 31125092648 37409967125 38906365810 47884757920 50578275553 59855947400 62250185296 74819934250 77812731620 97265914525 101156551106 119711894800 124500370592 149639868500 155625463240 194531829050 202313102212 239423789600 252891377765 299279737000 311250926480 389063658100 404626204424 486329572625 505782755530 598559474000 622501852960 778127316200 809252408848 972659145250 1011565511060 1197118948000 1264456888825 1556254632400 1618504817696 1945318290500 2023131022120 2528913777650 3112509264800 3890636581000 4046262044240 5057827555300 6322284444125 7781273162000 8092524088480 10115655110600 12644568888250 15562546324000 20231310221200 25289137776500 40462620442400 50578275553000 101156551106000 202313102212000