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133013030200 = 235219111731337
BaseRepresentation
bin111101111100000110…
…0011100010100111000
3110201022220111001000221
41323320030130110320
54134402313431300
6141034430505424
712416121046651
oct1737014342470
9421286431027
10133013030200
115145742a336
1221941965274
13c70a19bc3b
14661b704528
1536d762d31a
hex1ef831c538

133013030200 has 96 divisors (see below), whose sum is σ = 325833721200. Its totient is φ = 50358205440.

The previous prime is 133013030153. The next prime is 133013030239. The reversal of 133013030200 is 2030310331.

It is a super-2 number, since 2×1330130302002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 4228932 + ... + 4260268.

Almost surely, 2133013030200 is an apocalyptic number.

133013030200 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 133013030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162916860600).

133013030200 is an abundant number, since it is smaller than the sum of its proper divisors (192820691000).

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

133013030200 is a wasteful number, since it uses less digits than its factorization.

133013030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32489 (or 32480 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 133013030200 its reverse (2030310331), we get a palindrome (135043340531).

The spelling of 133013030200 in words is "one hundred thirty-three billion, thirteen million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1117 1900 2234 3800 4468 5585 8936 11170 21223 22340 27925 31337 42446 44680 55850 62674 84892 106115 111700 125348 156685 169784 212230 223400 250696 313370 424460 530575 595403 626740 783425 848920 1061150 1190806 1253480 1566850 2122300 2381612 2977015 3133700 4244600 4763224 5954030 6267400 11908060 14885075 23816120 29770150 35003429 59540300 70006858 119080600 140013716 175017145 280027432 350034290 665065151 700068580 875085725 1330130302 1400137160 1750171450 2660260604 3325325755 3500342900 5320521208 6650651510 7000685800 13301303020 16626628775 26602606040 33253257550 66506515100 133013030200