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30013101312 = 283296720113
BaseRepresentation
bin11011111100111010…
…111001010100000000
32212110122221111222220
4123330322321110000
5442431323220222
621442100531040
72111516103045
oct337472712400
985418844886
1030013101312
1111801682267
1259973b0a80
132aa400145c
14164a0991cc
15ba9d65b5c
hex6fceb9500

30013101312 has 144 divisors (see below), whose sum is σ = 83870552640. Its totient is φ = 9514745856.

The previous prime is 30013101311. The next prime is 30013101317. The reversal of 30013101312 is 21310131003.

It is a super-2 number, since 2×300131013122 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30013101291 and 30013101300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013101311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482168 + ... + 1502280.

Almost surely, 230013101312 is an apocalyptic number.

30013101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30013101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41935276320).

30013101312 is an abundant number, since it is smaller than the sum of its proper divisors (53857451328).

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

30013101312 is a wasteful number, since it uses less digits than its factorization.

30013101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20228 (or 20214 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 30013101312 its reverse (21310131003), we get a palindrome (51323232315).

The spelling of 30013101312 in words is "thirty billion, thirteen million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 67 87 96 116 128 134 174 192 201 232 256 268 348 384 402 464 536 696 768 804 928 1072 1392 1608 1856 1943 2144 2784 3216 3712 3886 4288 5568 5829 6432 7424 7772 8576 11136 11658 12864 15544 17152 20113 22272 23316 25728 31088 40226 46632 51456 60339 62176 80452 93264 120678 124352 160904 186528 241356 248704 321808 373056 482712 497408 583277 643616 746112 965424 1166554 1287232 1347571 1492224 1749831 1930848 2333108 2574464 2695142 3499662 3861696 4042713 4666216 5148928 5390284 6999324 7723392 8085426 9332432 10780568 13998648 15446784 16170852 18664864 21561136 27997296 32341704 37329728 39079559 43122272 55994592 64683408 74659456 78159118 86244544 111989184 117238677 129366816 149318912 156318236 172489088 223978368 234477354 258733632 312636472 344978176 447956736 468954708 517467264 625272944 937909416 1034934528 1250545888 1875818832 2501091776 3751637664 5002183552 7503275328 10004367104 15006550656 30013101312