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30420253235200 = 211521793319249
BaseRepresentation
bin1101110101010110001000…
…11000110101100000000000
310222201010222202022002010011
412322223010120311200000
512441401134312011300
6144410512120314304
76256535143062163
oct672530430654000
9128633882262104
1030420253235200
11976917a995864
1234b3795312994
1313c8804a5b31a
147724c3313ada
1537b4797b0eba
hex1baac4635800

30420253235200 has 144 divisors (see below), whose sum is σ = 75845194425000. Its totient is φ = 12100119429120.

The previous prime is 30420253235129. The next prime is 30420253235201. The reversal of 30420253235200 is 253235202403.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30420253235201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7505176 + ... + 10824424.

Almost surely, 230420253235200 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 30420253235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37922597212500).

30420253235200 is an abundant number, since it is smaller than the sum of its proper divisors (45424941189800).

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

30420253235200 is a wasteful number, since it uses less digits than its factorization.

30420253235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319460 (or 3319435 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 31.

Adding to 30420253235200 its reverse (253235202403), we get a palindrome (30673488437603).

The spelling of 30420253235200 in words is "thirty trillion, four hundred twenty billion, two hundred fifty-three million, two hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 179 200 256 320 358 400 512 640 716 800 895 1024 1280 1432 1600 1790 2048 2560 2864 3200 3580 4475 5120 5728 6400 7160 8950 10240 11456 12800 14320 17900 22912 25600 28640 35800 45824 51200 57280 71600 91648 114560 143200 183296 229120 286400 366592 458240 572800 916480 1145600 1832960 2291200 3319249 4582400 6638498 9164800 13276996 16596245 26553992 33192490 53107984 66384980 82981225 106215968 132769960 165962450 212431936 265539920 331924900 424863872 531079840 594145571 663849800 849727744 1062159680 1188291142 1327699600 1699455488 2124319360 2376582284 2655399200 2970727855 3398910976 4248638720 4753164568 5310798400 5941455710 6797821952 8497277440 9506329136 10621596800 11882911420 14853639275 16994554880 19012658272 21243193600 23765822840 29707278550 33989109760 38025316544 42486387200 47531645680 59414557100 76050633088 84972774400 95063291360 118829114200 152101266176 169945548800 190126582720 237658228400 304202532352 380253165440 475316456800 608405064704 760506330880 950632913600 1216810129408 1521012661760 1901265827200 3042025323520 3802531654400 6084050647040 7605063308800 15210126617600 30420253235200