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203193621160 = 23526322712
BaseRepresentation
bin1011110100111101001…
…0001001101010101000
3201102110220122110010121
42331033102021222220
511312120031334120
6233202412253024
720452220165605
oct2751722115250
9642426573117
10203193621160
11791a0558032
1233469171174
1316212b6643a
149b982c96ac
155443a125aa
hex2f4f489aa8

203193621160 has 72 divisors (see below), whose sum is σ = 460630325610. Its totient is φ = 80669632320.

The previous prime is 203193621149. The next prime is 203193621161. The reversal of 203193621160 is 61126391302.

203193621160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 182874259044 + 20319362116 = 427638^2 + 142546^2 .

It is a super-2 number, since 2×2031936211602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203193621161) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 749791825 + ... + 749792095.

Almost surely, 2203193621160 is an apocalyptic number.

203193621160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203193621160 is an abundant number, since it is smaller than the sum of its proper divisors (257436704450).

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

203193621160 is an frugal number, since it uses more digits than its factorization.

203193621160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 203193621160 in words is "two hundred three billion, one hundred ninety-three million, six hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 263 271 526 542 1052 1084 1315 1355 2104 2168 2630 2710 5260 5420 10520 10840 69169 71273 73441 138338 142546 146882 276676 285092 293764 345845 356365 367205 553352 570184 587528 691690 712730 734410 1383380 1425460 1468820 2766760 2850920 2937640 18744799 19314983 37489598 38629966 74979196 77259932 93723995 96574915 149958392 154519864 187447990 193149830 374895980 386299660 749791960 772599320 5079840529 10159681058 20319362116 25399202645 40638724232 50798405290 101596810580 203193621160