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30712351026 = 2373107211661
BaseRepresentation
bin11100100110100110…
…010100100100110010
32221021101201002021110
4130212212110210302
51000344330213101
622035320134150
72135036451000
oct344646244462
987241632243
1030712351026
1112030359995
125b51607356
132b85b3a196
1416b4cb9a70
15beb43acd6
hex726994932

30712351026 has 128 divisors (see below), whose sum is σ = 72754329600. Its totient is φ = 8638660800.

The previous prime is 30712351009. The next prime is 30712351067. The reversal of 30712351026 is 62015321703.

It is a junction number, because it is equal to n+sod(n) for n = 30712350984 and 30712351002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46463136 + ... + 46463796.

It is an arithmetic number, because the mean of its divisors is an integer number (568393200).

Almost surely, 230712351026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30712351026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36377164800).

30712351026 is an abundant number, since it is smaller than the sum of its proper divisors (42041978574).

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

30712351026 is a wasteful number, since it uses less digits than its factorization.

30712351026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 30712351026 its reverse (62015321703), we get a palindrome (92727672729).

The spelling of 30712351026 in words is "thirty billion, seven hundred twelve million, three hundred fifty-one thousand, twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 107 147 211 214 294 321 343 422 633 642 661 686 749 1029 1266 1322 1477 1498 1983 2058 2247 2954 3966 4431 4494 4627 5243 8862 9254 10339 10486 13881 15729 20678 22577 27762 31017 31458 32389 36701 45154 62034 64778 67731 70727 72373 73402 97167 110103 135462 139471 141454 144746 158039 194334 212181 217119 220206 226723 278942 316078 418413 424362 434238 453446 474117 495089 680169 836826 948234 976297 990178 1106273 1360338 1485267 1952594 2212546 2928891 2970534 3318819 3465623 5857782 6637638 6834079 6931246 7743911 10396869 13668158 14923397 15487822 20502237 20793738 23231733 24259361 29846794 41004474 44770191 46463466 47838553 48518722 72778083 89540382 95677106 104463779 143515659 145556166 208927558 287031318 313391337 626782674 731246453 1462492906 2193739359 4387478718 5118725171 10237450342 15356175513 30712351026