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30103023104 = 297115314407
BaseRepresentation
bin11100000010010001…
…111010111000000000
32212200221011000111122
4130002101322320000
5443122333214404
621455032131412
72113660321520
oct340221727000
985627130448
1030103023104
111184840a8a0
125a01536b68
132ab982690b
141657dc5680
15bb2bc93be
hex70247ae00

30103023104 has 160 divisors (see below), whose sum is σ = 76408966656. Its totient is φ = 11506360320.

The previous prime is 30103023079. The next prime is 30103023107. The reversal of 30103023104 is 40132030103.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30103023107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2082269 + ... + 2096675.

Almost surely, 230103023104 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 30103023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38204483328).

30103023104 is an abundant number, since it is smaller than the sum of its proper divisors (46305943552).

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

30103023104 is a wasteful number, since it uses less digits than its factorization.

30103023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496 (or 14480 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 30103023104 its reverse (40132030103), we get a palindrome (70235053207).

The spelling of 30103023104 in words is "thirty billion, one hundred three million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 88 106 112 128 154 176 212 224 256 308 352 371 424 448 512 583 616 704 742 848 896 1166 1232 1408 1484 1696 1792 2332 2464 2816 2968 3392 3584 4081 4664 4928 5632 5936 6784 8162 9328 9856 11872 13568 14407 16324 18656 19712 23744 27136 28814 32648 37312 39424 47488 57628 65296 74624 94976 100849 115256 130592 149248 158477 189952 201698 230512 261184 298496 316954 403396 461024 522368 633908 763571 806792 922048 1044736 1109339 1267816 1527142 1613584 1844096 2089472 2218678 2535632 3054284 3227168 3688192 4437356 5071264 5344997 6108568 6454336 7376384 8399281 8874712 10142528 10689994 12217136 12908672 16798562 17749424 20285056 21379988 24434272 25817344 33597124 35498848 40570112 42759976 48868544 51634688 58794967 67194248 70997696 81140224 85519952 97737088 117589934 134388496 141995392 171039904 195474176 235179868 268776992 283990784 342079808 390948352 470359736 537553984 567981568 684159616 940719472 1075107968 1368319232 1881438944 2150215936 2736638464 3762877888 4300431872 7525755776 15051511552 30103023104