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312133303230 = 235759186113537
BaseRepresentation
bin1001000101011001001…
…10000011101110111110
31002211200002212200202020
410202230212003232332
520103222111200410
6355220403541010
731356645205260
oct4425446035676
91084602780666
10312133303230
11110414126631
12505b098a766
1323584797588
141117073db30
1581bc9b1a70
hex48ac983bbe

312133303230 has 128 divisors (see below), whose sum is σ = 871180047360. Its totient is φ = 70092656640.

The previous prime is 312133303199. The next prime is 312133303243. The reversal of 312133303230 is 32303331213.

It is a super-2 number, since 2×3121333032302 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312133303230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23051022 + ... + 23064558.

It is an arithmetic number, because the mean of its divisors is an integer number (6806094120).

Almost surely, 2312133303230 is an apocalyptic number.

312133303230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312133303230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435590023680).

312133303230 is an abundant number, since it is smaller than the sum of its proper divisors (559046744130).

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

312133303230 is a wasteful number, since it uses less digits than its factorization.

312133303230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15474.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 312133303230 its reverse (32303331213), we get a palindrome (344436634443).

The spelling of 312133303230 in words is "three hundred twelve billion, one hundred thirty-three million, three hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 1861 2065 2478 3722 4130 5583 6195 9305 11166 12390 13027 13537 18610 26054 27074 27915 39081 40611 55830 65135 67685 78162 81222 94759 109799 130270 135370 189518 195405 203055 219598 284277 329397 390810 406110 473795 548995 568554 658794 768593 798683 947590 1097990 1421385 1537186 1597366 1646985 2305779 2396049 2842770 3293970 3842965 3993415 4611558 4792098 5590781 7685930 7986830 11181562 11528895 11980245 16772343 23057790 23960490 25192357 27953905 33544686 50384714 55907810 75577071 83861715 125961785 151154142 167723430 176346499 251923570 352692998 377885355 529039497 755770710 881732495 1058078994 1486349063 1763464990 2645197485 2972698126 4459047189 5290394970 7431745315 8918094378 10404443441 14863490630 20808886882 22295235945 31213330323 44590471890 52022217205 62426660646 104044434410 156066651615 312133303230