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312101452116 = 2232174710850419
BaseRepresentation
bin1001000101010101011…
…00100011100101010100
31002211120212221111020100
410202222230203211110
520103140432431431
6355213305134100
731356110400006
oct4425254434524
91084525844210
10312101452116
111103a81513a3
12505a218a330
132357acc4b6c
141116a40c376
1581b9cbe4e6
hex48aab23954

312101452116 has 72 divisors (see below), whose sum is σ = 853103422080. Its totient is φ = 95830891776.

The previous prime is 312101451979. The next prime is 312101452129. The reversal of 312101452116 is 611254101213.

312101452116 is a `hidden beast` number, since 3 + 121 + 0 + 1 + 4 + 521 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 312101452116.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5396446 + ... + 5453973.

It is an arithmetic number, because the mean of its divisors is an integer number (11848658640).

Almost surely, 2312101452116 is an apocalyptic number.

312101452116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312101452116 is an abundant number, since it is smaller than the sum of its proper divisors (541001969964).

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

312101452116 is a wasteful number, since it uses less digits than its factorization.

312101452116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850493 (or 10850488 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 312101452116 its reverse (611254101213), we get a palindrome (923355553329).

The spelling of 312101452116 in words is "three hundred twelve billion, one hundred one million, four hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 306 423 564 612 799 846 1598 1692 2397 3196 4794 7191 9588 14382 28764 10850419 21700838 32551257 43401676 65102514 97653771 130205028 184457123 195307542 368914246 390615084 509969693 553371369 737828492 1019939386 1106742738 1529909079 1660114107 2039878772 2213485476 3059818158 3320228214 4589727237 6119636316 6640456428 8669484781 9179454474 17338969562 18358908948 26008454343 34677939124 52016908686 78025363029 104033817372 156050726058 312101452116