Search a number
-
+
30032001134200 = 23521318163816407
BaseRepresentation
bin1101101010000010111101…
…10000100110111001111000
310221100000211210110210220201
412311001132300212321320
512414021014242243300
6143512302202331544
76216511661502442
oct665013660467170
9127300753423821
1030032001134200
1196295557868aa
1234504a04b9bb4
13139b00c287a10
1475b7b14a7492
1537130443b66a
hex1b505ec26e78

30032001134200 has 96 divisors (see below), whose sum is σ = 75610956526560. Its totient is φ = 11027474956800.

The previous prime is 30032001134143. The next prime is 30032001134209. The reversal of 30032001134200 is 243110023003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30032001134209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31437604 + ... + 32378803.

It is an arithmetic number, because the mean of its divisors is an integer number (787614130485).

Almost surely, 230032001134200 is an apocalyptic number.

It is an amenable number.

30032001134200 is an abundant number, since it is smaller than the sum of its proper divisors (45578955392360).

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

30032001134200 is a wasteful number, since it uses less digits than its factorization.

30032001134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63816617 (or 63816608 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 30032001134200 its reverse (243110023003), we get a palindrome (30275111157203).

The spelling of 30032001134200 in words is "thirty trillion, thirty-two billion, one million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 181 200 260 325 362 520 650 724 905 1300 1448 1810 2353 2600 3620 4525 4706 7240 9050 9412 11765 18100 18824 23530 36200 47060 58825 94120 117650 235300 470600 63816407 127632814 255265628 319082035 510531256 638164070 829613291 1276328140 1595410175 1659226582 2552656280 3190820350 3318453164 4148066455 6381640700 6636906328 8296132910 11550769667 12763281400 16592265820 20740332275 23101539334 33184531640 41480664550 46203078668 57753848335 82961329100 92406157336 115507696670 150160005671 165922658200 231015393340 288769241675 300320011342 462030786680 577538483350 600640022684 750800028355 1155076966700 1201280045368 1501600056710 2310153933400 3003200113420 3754000141775 6006400226840 7508000283550 15016000567100 30032001134200