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2300242131232 = 2519311049116341
BaseRepresentation
bin100001011110010001000…
…111010111100100100000
322010220022211101102022121
4201132101013113210200
5300141343441144412
64520414443514024
7325121100340363
oct41362107274440
98126284342277
102300242131232
11807588796941
12311976528914
13138bb15abba6
147d491c200da
153ec7ba69107
hex217911d7920

2300242131232 has 96 divisors (see below), whose sum is σ = 4925454912000. Its totient is φ = 1053426124800.

The previous prime is 2300242131197. The next prime is 2300242131241. The reversal of 2300242131232 is 2321312420032.

It is a super-2 number, since 2×23002421312322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300242131197 and 2300242131206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19713382 + ... + 19829722.

It is an arithmetic number, because the mean of its divisors is an integer number (51306822000).

Almost surely, 22300242131232 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 2300242131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462727456000).

2300242131232 is an abundant number, since it is smaller than the sum of its proper divisors (2625212780768).

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

2300242131232 is a wasteful number, since it uses less digits than its factorization.

2300242131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117450 (or 117442 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2300242131232 its reverse (2321312420032), we get a palindrome (4621554551264).

The spelling of 2300242131232 in words is "two trillion, three hundred billion, two hundred forty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1049 1178 2098 2356 4196 4712 8392 9424 16784 18848 19931 32519 33568 39862 65038 79724 116341 130076 159448 232682 260152 318896 465364 520304 617861 637792 930728 1040608 1235722 1861456 2210479 2471444 3606571 3722912 4420958 4942888 7213142 8841916 9885776 14426284 17683832 19771552 28852568 35367664 57705136 68524849 70735328 115410272 122041709 137049698 244083418 274099396 488166836 548198792 976333672 1096397584 1952667344 2192795168 2318792471 3783292979 3905334688 4637584942 7566585958 9275169884 15133171916 18550339768 30266343832 37100679536 60532687664 71882566601 74201359072 121065375328 143765133202 287530266404 575060532808 1150121065616 2300242131232