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230101001200 = 2452731677121
BaseRepresentation
bin1101011001001100010…
…1101010001111110000
3210222221010121222110201
43112103011222033300
512232221324014300
6253412411004544
722424055145000
oct3262305521760
9728833558421
10230101001200
118964901a9a4
1238718439754
13189105b86a5
14b1cbadc000
155ebad9e66a
hex359316a3f0

230101001200 has 120 divisors (see below), whose sum is σ = 644685696800. Its totient is φ = 78891724800.

The previous prime is 230101001191. The next prime is 230101001219. The reversal of 230101001200 is 2100101032.

230101001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 701361 + ... + 975760.

Almost surely, 2230101001200 is an apocalyptic number.

230101001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230101001200 is an abundant number, since it is smaller than the sum of its proper divisors (414584695600).

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

230101001200 is a wasteful number, since it uses less digits than its factorization.

230101001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677160 (or 1677135 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 230101001200 its reverse (2100101032), we get a palindrome (232201102232).

The spelling of 230101001200 in words is "two hundred thirty billion, one hundred one million, one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 343 350 392 400 490 560 686 700 784 980 1225 1372 1400 1715 1960 2450 2744 2800 3430 3920 4900 5488 6860 8575 9800 13720 17150 19600 27440 34300 68600 137200 1677121 3354242 6708484 8385605 11739847 13416968 16771210 23479694 26833936 33542420 41928025 46959388 58699235 67084840 82178929 83856050 93918776 117398470 134169680 164357858 167712100 187837552 234796940 293496175 328715716 335424200 410894645 469593880 575252503 586992350 657431432 670848400 821789290 939187760 1150505006 1173984700 1314862864 1643578580 2054473225 2301010012 2347969400 2876262515 3287157160 4108946450 4602020024 4695938800 5752525030 6574314320 8217892900 9204040048 11505050060 14381312575 16435785800 23010100120 28762625150 32871571600 46020200240 57525250300 115050500600 230101001200