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30302103216 = 24371127672963
BaseRepresentation
bin11100001110001001…
…010110011010110000
32220012210202100002010
4130032021112122300
5444024314300331
621530503122520
72121625425150
oct341611263260
986183670063
1030302103216
111193a824710
125a58143440
132b1bb4b2b8
141676608760
15bc5400e46
hex70e2566b0

30302103216 has 160 divisors (see below), whose sum is σ = 97664606208. Its totient is φ = 7865176320.

The previous prime is 30302103211. The next prime is 30302103253. The reversal of 30302103216 is 61230120303.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 30302103192 and 30302103201.

It is not an unprimeable number, because it can be changed into a prime (30302103211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10225351 + ... + 10228313.

Almost surely, 230302103216 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 30302103216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48832303104).

30302103216 is an abundant number, since it is smaller than the sum of its proper divisors (67362502992).

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

30302103216 is a wasteful number, since it uses less digits than its factorization.

30302103216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30302103216 its reverse (61230120303), we get a palindrome (91532223519).

The spelling of 30302103216 in words is "thirty billion, three hundred two million, one hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 2767 2963 3696 5534 5926 8301 8889 11068 11852 16602 17778 19369 20741 22136 23704 30437 32593 33204 35556 38738 41482 44272 47408 58107 60874 62223 65186 66408 71112 77476 82964 91311 97779 116214 121748 124446 130372 132816 142224 154952 165928 182622 195558 213059 228151 232428 243496 248892 260744 309904 331856 365244 391116 426118 456302 464856 486992 497784 521488 639177 684453 730488 782232 852236 912604 929712 995568 1278354 1368906 1460976 1564464 1704472 1825208 2556708 2737812 3408944 3650416 5113416 5475624 8198621 10226832 10951248 16397242 24595863 32794484 49191726 57390347 65588968 90184831 98383452 114780694 131177936 172171041 180369662 196766904 229561388 270554493 344342082 360739324 393533808 459122776 541108986 631293817 688684164 721478648 918245552 1082217972 1262587634 1377368328 1442957296 1893881451 2164435944 2525175268 2754736656 3787762902 4328871888 5050350536 7575525804 10100701072 15151051608 30302103216