Search a number
-
+
30012133313112 = 23319297643296941
BaseRepresentation
bin1101101001011101111101…
…00010111000101001011000
310221021010120011122221001020
412310232332202320221120
512413204322112004422
6143455214514122440
76215206433013006
oct664567642705130
9127233504587036
1030012133313112
11962108a927855
123448676880420
1313991940ac572
1475a84898ba76
15370a400ce95c
hex1b4bbe8b8a58

30012133313112 has 128 divisors (see below), whose sum is σ = 81713687328000. Its totient is φ = 9149476815360.

The previous prime is 30012133313087. The next prime is 30012133313119. The reversal of 30012133313112 is 21131333121003.

It is a super-2 number, since 2×300121333131122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30012133313119) 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, 100922562 + ... + 101219502.

It is an arithmetic number, because the mean of its divisors is an integer number (638388182250).

Almost surely, 230012133313112 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 30012133313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40856843664000).

30012133313112 is an abundant number, since it is smaller than the sum of its proper divisors (51701554014888).

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

30012133313112 is a wasteful number, since it uses less digits than its factorization.

30012133313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304641 (or 304637 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 30012133313112 its reverse (21131333121003), we get a palindrome (51143466434115).

The spelling of 30012133313112 in words is "thirty trillion, twelve billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1102 1653 2204 3306 4408 6612 7643 13224 15286 22929 30572 45858 61144 91716 145217 183432 221647 290434 296941 435651 443294 580868 593882 664941 871302 886588 890823 1161736 1187764 1329882 1742604 1773176 1781646 2375528 2659764 3485208 3563292 4211293 5319528 5641879 7126584 8422586 8611289 11283758 12633879 16845172 16925637 17222578 22567516 25267758 25833867 33690344 33851274 34445156 45135032 50535516 51667734 67702548 68890312 101071032 103335468 135405096 163614491 206670936 327228982 490843473 654457964 981686946 1308915928 1963373892 2269520063 3926747784 4539040126 6808560189 9078080252 13617120378 18156160504 27234240756 43120881197 54468481512 65816081827 86241762394 129362643591 131632163654 172483524788 197448245481 258725287182 263264327308 344967049576 394896490962 517450574364 526528654616 789792981924 1034901148728 1250505554713 1579585963848 2501011109426 3751516664139 5002022218852 7503033328278 10004044437704 15006066656556 30012133313112