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230100312200 = 235211234547437
BaseRepresentation
bin1101011001001100001…
…1000010000010001000
3210222221002022222100012
43112103003002002020
512232221134442300
6253412344131052
722424046245153
oct3262303020210
9728832288305
10230100312200
118964869a280
1238718166a88
1318910406bb5
14b1cb99cc9a
155ebacb5435
hex35930c2088

230100312200 has 96 divisors (see below), whose sum is σ = 608992896960. Its totient is φ = 80034873600.

The previous prime is 230100312173. The next prime is 230100312241. The reversal of 230100312200 is 2213001032.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2223119 + ... + 2324318.

It is an arithmetic number, because the mean of its divisors is an integer number (6343676010).

Almost surely, 2230100312200 is an apocalyptic number.

230100312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230100312200 is an abundant number, since it is smaller than the sum of its proper divisors (378892584760).

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

230100312200 is a wasteful number, since it uses less digits than its factorization.

230100312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547487 (or 4547478 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 230100312200 its reverse (2213001032), we get a palindrome (232313313232).

The spelling of 230100312200 in words is "two hundred thirty billion, one hundred million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 4547437 9094874 18189748 22737185 36379496 45474370 50021807 90948740 100043614 104591051 113685925 181897480 200087228 209182102 227371850 250109035 400174456 418364204 454743700 500218070 522955255 836728408 909487400 1000436140 1045910510 1150501561 1250545175 2000872280 2091821020 2301003122 2501090350 2614776275 4183642040 4602006244 5002180700 5229552550 5752507805 9204012488 10004361400 10459105100 11505015610 20918210200 23010031220 28762539025 46020062440 57525078050 115050156100 230100312200