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30142412300 = 225271113301123
BaseRepresentation
bin11100000100101000…
…001011011000001100
32212210200021012022202
4130010220023120030
5443212424143200
621503000301032
72114646164030
oct340450133014
985720235282
1030142412300
1111868673550
125a12771778
132ac4a38430
14165d31a1c0
15bb63aa1d5
hex704a0b60c

30142412300 has 144 divisors (see below), whose sum is σ = 87822212352. Its totient is φ = 8672313600.

The previous prime is 30142412299. The next prime is 30142412323. The reversal of 30142412300 is 321424103.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 50462 + ... + 250661.

Almost surely, 230142412300 is an apocalyptic number.

It is an amenable number.

30142412300 is an abundant number, since it is smaller than the sum of its proper divisors (57679800052).

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

30142412300 is a wasteful number, since it uses less digits than its factorization.

30142412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301168 (or 301161 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30142412300 its reverse (321424103), we get a palindrome (30463836403).

The spelling of 30142412300 in words is "thirty billion, one hundred forty-two million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 301123 602246 1204492 1505615 2107861 3011230 3312353 3914599 4215722 6022460 6624706 7528075 7829198 8431444 10539305 13249412 15056150 15658396 16561765 19572995 21078610 23186471 27402193 30112300 33123530 39145990 42157220 43060589 46372942 52696525 54804386 66247060 78291980 82808825 86121178 92745884 97864975 105393050 109608772 115932355 137010965 165617650 172242356 195729950 210786100 215302945 231864710 274021930 301424123 331235300 391459900 430605890 463729420 548043860 579661775 602848246 685054825 861211780 1076514725 1159323550 1205696492 1370109650 1507120615 2153029450 2318647100 2740219300 3014241230 4306058900 6028482460 7535603075 15071206150 30142412300