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30004101131312 = 24711231303812639
BaseRepresentation
bin1101101001001110111111…
…10010100010110000110000
310221020100211101200211000102
412310213133302202300300
512413041344342200222
6143451405504411532
76214503411416240
oct664473762426060
9127210741624012
1030004101131312
119618738979780
123446bb4916ba8
1313984b3cac379
1475a2c5d07b20
1537071ed78d92
hex1b49dfca2c30

30004101131312 has 160 divisors (see below), whose sum is σ = 75686767165440. Its totient is φ = 11173057378560.

The previous prime is 30004101131297. The next prime is 30004101131321. The reversal of 30004101131312 is 21313110140003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36515489 + ... + 37328127.

It is an arithmetic number, because the mean of its divisors is an integer number (473042294784).

Almost surely, 230004101131312 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 30004101131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37843383582720).

30004101131312 is an abundant number, since it is smaller than the sum of its proper divisors (45682666034128).

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

30004101131312 is a wasteful number, since it uses less digits than its factorization.

30004101131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813991 (or 813985 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 30004101131312 its reverse (21313110140003), we get a palindrome (51317211271315).

The spelling of 30004101131312 in words is "thirty trillion, four billion, one hundred one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 253 308 322 368 506 616 644 1012 1232 1288 1303 1771 2024 2576 2606 3542 4048 5212 7084 9121 10424 14168 14333 18242 20848 28336 28666 29969 36484 57332 59938 72968 100331 114664 119876 145936 200662 209783 229328 239752 329659 401324 419566 479504 659318 802648 812639 839132 1318636 1605296 1625278 1678264 2307613 2637272 3250556 3356528 4615226 5274544 5688473 6501112 8939029 9230452 11376946 13002224 17878058 18460904 18690697 22753892 35756116 36921808 37381394 45507784 62573203 71512232 74762788 91015568 125146406 130834879 143024464 149525576 205597667 250292812 261669758 299051152 411195334 500585624 523339516 822390668 1001171248 1046679032 1058868617 1439183669 1644781336 2093358064 2117737234 2878367338 3289562672 4235474468 5756734676 7412080319 8470948936 11513469352 11647554787 14824160638 16941897872 23026938704 23295109574 24353978191 29648321276 46590219148 48707956382 59296642552 81532883509 93180438296 97415912764 118593285104 163065767018 170477847337 186360876592 194831825528 267893760101 326131534036 340955694674 389663651056 535787520202 652263068072 681911389348 1071575040404 1304526136144 1363822778696 1875256320707 2143150080808 2727645557392 3750512641414 4286300161616 7501025282828 15002050565656 30004101131312