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3020312030112 = 2532131747453369
BaseRepresentation
bin101011111100111000101…
…000000010101110100000
3101200201221201221022112200
4223330320220002232200
5343441044334430422
610231302344453200
7431132101443546
oct53747050025640
911621851838480
103020312030112
11a649a8446623
1240943447a200
1318ba77a58230
14a6280803d96
1553872a982ac
hex2bf38a02ba0

3020312030112 has 144 divisors (see below), whose sum is σ = 9793806127560. Its totient is φ = 874660478976.

The previous prime is 3020312030107. The next prime is 3020312030167. The reversal of 3020312030112 is 2110302130203.

3020312030112 is a `hidden beast` number, since 30 + 20 + 312 + 0 + 301 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2583078982416 + 437233047696 = 1607196^2 + 661236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23663037 + ... + 23790332.

Almost surely, 23020312030112 is an apocalyptic number.

3020312030112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3020312030112 is an abundant number, since it is smaller than the sum of its proper divisors (6773494097448).

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

3020312030112 is a wasteful number, since it uses less digits than its factorization.

3020312030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47453415 (or 47453404 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3020312030112 its reverse (2110302130203), we get a palindrome (5130614160315).

The spelling of 3020312030112 in words is "three trillion, twenty billion, three hundred twelve million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 10608 15912 21216 31824 63648 47453369 94906738 142360107 189813476 284720214 379626952 427080321 569440428 616893797 759253904 806707273 854160642 1138880856 1233787594 1518507808 1613414546 1708321284 1850681391 2277761712 2420121819 2467575188 3226829092 3416642568 3701362782 4555523424 4840243638 4935150376 5552044173 6453658184 6833285136 7260365457 7402725564 9680487276 9870300752 10487194549 11104088346 12907316368 13666570272 14520730914 14805451128 19360974552 19740601504 20974389098 22208176692 25814632736 29041461828 29610902256 31461583647 38721949104 41948778196 44416353384 58082923656 59221804512 62923167294 77443898208 83897556392 88832706768 94384750941 116165847312 125846334588 167795112784 177665413536 188769501882 232331694624 251692669176 335590225568 377539003764 503385338352 755078007528 1006770676704 1510156015056 3020312030112