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312101000211 = 371113472937547
BaseRepresentation
bin1001000101010101010…
…10110101010000010011
31002211120212002112100010
410202222222311100103
520103140324001321
6355213251330003
731356103505340
oct4425252652023
91084525075303
10312101000211
111103a7972920
12505a1bb0903
132357ab97270
141116a3317c7
1581b9c30676
hex48aaab5413

312101000211 has 128 divisors (see below), whose sum is σ = 572637413376. Its totient is φ = 145955335680.

The previous prime is 312101000207. The next prime is 312101000219. The reversal of 312101000211 is 112000101213.

It is not a de Polignac number, because 312101000211 - 22 = 312101000207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312101000219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41350540 + ... + 41358086.

It is an arithmetic number, because the mean of its divisors is an integer number (4473729792).

Almost surely, 2312101000211 is an apocalyptic number.

312101000211 is a deficient number, since it is larger than the sum of its proper divisors (260536413165).

312101000211 is a wasteful number, since it uses less digits than its factorization.

312101000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 312101000211 its reverse (112000101213), we get a palindrome (424101101424).

The spelling of 312101000211 in words is "three hundred twelve billion, one hundred one million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 7 11 13 21 33 39 47 77 91 141 143 231 273 293 329 429 517 611 879 987 1001 1551 1833 2051 3003 3223 3619 3809 4277 6153 6721 7547 9669 10857 11427 12831 13771 20163 22561 22641 26663 41313 41899 47047 52829 67683 79989 83017 96397 98111 125697 141141 151481 158487 179023 249051 289191 293293 294333 354709 454443 537069 581119 686777 879879 1060367 1064127 1079221 1253161 1743357 1969253 2060331 2211271 2482963 3181101 3237663 3759483 3901799 4611217 5907759 6633813 7448889 7554547 11705397 13784771 13833651 15478897 22663641 24323981 27312593 28746523 32278519 41354313 46436691 50723387 72971943 81937779 86239569 96835557 103929737 152170161 170267867 201225661 311789211 316211753 355063709 510803601 603676983 727508159 948635259 1065191127 1143227107 1351086581 2182524477 2213482271 3429681321 4053259743 6640446813 8002589749 9457606067 14861952391 24007769247 28372818201 44585857173 104033666737 312101000211