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312133043352 = 233131761396001
BaseRepresentation
bin1001000101011001001…
…01000100010010011000
31002211200002101111021010
410202230211010102120
520103222024341402
6355220354213520
731356643043514
oct4425445042230
91084602344233
10312133043352
11110413a69359
12505b08842a0
13235847061c0
14111706b3144
1581bc95ea6c
hex48ac944498

312133043352 has 128 divisors (see below), whose sum is σ = 891251847360. Its totient is φ = 90243072000.

The previous prime is 312133043351. The next prime is 312133043359. The reversal of 312133043352 is 253340331213.

It is a super-2 number, since 2×3121330433522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312133043351) 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, 3203352 + ... + 3299352.

Almost surely, 2312133043352 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 312133043352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445625923680).

312133043352 is an abundant number, since it is smaller than the sum of its proper divisors (579118804008).

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

312133043352 is a wasteful number, since it uses less digits than its factorization.

312133043352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96653 (or 96649 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 312133043352 its reverse (253340331213), we get a palindrome (565473374565).

The spelling of 312133043352 in words is "three hundred twelve billion, one hundred thirty-three million, forty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 613 663 884 1226 1326 1768 1839 2452 2652 3678 4904 5304 7356 7969 10421 14712 15938 20842 23907 31263 31876 41684 47814 62526 63752 83368 95628 96001 125052 135473 191256 192002 250104 270946 288003 384004 406419 541892 576006 768008 812838 1083784 1152012 1248013 1625676 1632017 2304024 2496026 3251352 3264034 3744039 4896051 4992052 6528068 7488078 9792102 9984104 13056136 14976156 19584204 21216221 29952312 39168408 42432442 58848613 63648663 84864884 117697226 127297326 169729768 176545839 235394452 254594652 353091678 470788904 509189304 706183356 765031969 1000426421 1412366712 1530063938 2000852842 2295095907 3001279263 3060127876 4001705684 4590191814 6002558526 6120255752 8003411368 9180383628 12005117052 13005543473 18360767256 24010234104 26011086946 39016630419 52022173892 78033260838 104044347784 156066521676 312133043352