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200245242132 = 2232131788123929
BaseRepresentation
bin1011101001111110001…
…0111110100100010100
3201010212102202021110100
42322133202332210110
511240100240222012
6231554050254100
720316156321435
oct2723742764424
9633772667410
10200245242132
1177a18245251
1232985887330
1315b63087070
1499988bd48c
15531ec688dc
hex2e9f8be914

200245242132 has 72 divisors (see below), whose sum is σ = 545165315240. Its totient is φ = 61607900160.

The previous prime is 200245242049. The next prime is 200245242139. The reversal of 200245242132 is 231242542002.

200245242132 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 4 + 524 + 2 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10466517636 + 189778724496 = 102306^2 + 435636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200245242096 and 200245242105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200245242139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8356344 + ... + 8380272.

Almost surely, 2200245242132 is an apocalyptic number.

It is an amenable number.

200245242132 is an abundant number, since it is smaller than the sum of its proper divisors (344920073108).

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

200245242132 is a wasteful number, since it uses less digits than its factorization.

200245242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41833 (or 41828 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 200245242132 its reverse (231242542002), we get a palindrome (431487784134).

The spelling of 200245242132 in words is "two hundred billion, two hundred forty-five million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 17881 23929 35762 47858 53643 71524 71787 95716 107286 143574 160929 214572 215361 232453 287148 311077 321858 430722 464906 622154 643716 697359 861444 929812 933231 1244308 1394718 1866462 2092077 2789436 2799693 3732924 4184154 5599386 8368308 11198772 427874449 855748898 1283623347 1711497796 2567246694 3850870041 5134493388 5562367837 7701740082 11124735674 15403480164 16687103511 22249471348 33374207022 50061310533 66748414044 100122621066 200245242132