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30132424221400 = 23525916191577267
BaseRepresentation
bin1101101100111110000000…
…11100010010001011011000
310221200122001110020012200201
412312133000130102023120
512422142201100041100
6144030351121511544
76226665363610354
oct666370034221330
9127618043205621
1030132424221400
1196680a8a16646
123467a47aa25b4
1313a76246303c7
147625ba7bc464
15373c3089a36a
hex1b67c07122d8

30132424221400 has 96 divisors (see below), whose sum is σ = 71289359064000. Its totient is φ = 11841356040320.

The previous prime is 30132424221373. The next prime is 30132424221401. The reversal of 30132424221400 is 412242423103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30132424221401) 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, 18315567 + ... + 19892833.

It is an arithmetic number, because the mean of its divisors is an integer number (742597490250).

Almost surely, 230132424221400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30132424221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35644679532000).

30132424221400 is an abundant number, since it is smaller than the sum of its proper divisors (41156934842600).

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

30132424221400 is a wasteful number, since it uses less digits than its factorization.

30132424221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578961 (or 1578952 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 30132424221400 its reverse (412242423103), we get a palindrome (30544666644503).

The spelling of 30132424221400 in words is "thirty trillion, one hundred thirty-two billion, four hundred twenty-four million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 1619 2360 2950 3238 5900 6476 8095 11800 12952 16190 32380 40475 64760 80950 95521 161900 191042 323800 382084 477605 764168 955210 1577267 1910420 2388025 3154534 3820840 4776050 6309068 7886335 9552100 12618136 15772670 19104200 31545340 39431675 63090680 78863350 93058753 157726700 186117506 315453400 372235012 465293765 744470024 930587530 1861175060 2326468825 2553595273 3722350120 4652937650 5107190546 9305875300 10214381092 12767976365 18611750600 20428762184 25535952730 51071905460 63839881825 102143810920 127679763650 150662121107 255359527300 301324242214 510719054600 602648484428 753310605535 1205296968856 1506621211070 3013242422140 3766553027675 6026484844280 7533106055350 15066212110700 30132424221400