Search a number
-
+
31431024403300 = 22522941772734211
BaseRepresentation
bin1110010010110000110110…
…00010110110001101100100
311010021202222010120112111001
413021120123002312031210
513104431214221401200
6150503114022323044
76422550041204524
oct711303302661544
9133252863515431
1031431024403300
11a018905963775
123637662589484
13146cc18710ac2
147a93ac0a1684
153978d696476a
hex1c961b0b6364

31431024403300 has 144 divisors (see below), whose sum is σ = 72289605669120. Its totient is φ = 11840929408000.

The previous prime is 31431024403297. The next prime is 31431024403321. The reversal of 31431024403300 is 330442013413.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918723195 + ... + 918757405.

It is an arithmetic number, because the mean of its divisors is an integer number (502011150480).

Almost surely, 231431024403300 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 31431024403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36144802834560).

31431024403300 is an abundant number, since it is smaller than the sum of its proper divisors (40858581265820).

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

31431024403300 is a wasteful number, since it uses less digits than its factorization.

31431024403300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42022 (or 42015 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 31431024403300 its reverse (330442013413), we get a palindrome (31761466416713).

The spelling of 31431024403300 in words is "thirty-one trillion, four hundred thirty-one billion, twenty-four million, four hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 290 410 580 725 820 1025 1189 1450 2050 2378 2900 4100 4756 5945 7727 11890 15454 23780 29725 30908 34211 38635 59450 68422 77270 118900 136844 154540 171055 193175 224083 316807 342110 386350 448166 633614 684220 772700 855275 896332 992119 1120415 1267228 1402651 1584035 1710550 1984238 2240830 2805302 3168070 3421100 3968476 4481660 4960595 5602075 5610604 6336140 7013255 7920175 9187403 9921190 11204150 14026510 15840350 18374806 19842380 22408300 24802975 28053020 31680700 35066275 36749612 40676879 45937015 49605950 70132550 81353758 91874030 99211900 140265100 162707516 183748060 203384395 229685075 264348397 406768790 459370150 528696794 813537580 918740300 1016921975 1057393588 1321741985 2033843950 2643483970 4067687900 5286967940 6608709925 7666103513 10838284277 13217419850 15332207026 21676568554 26434839700 30664414052 38330517565 43353137108 54191421385 76661035130 108382842770 153322070260 191652587825 216765685540 270957106925 314310244033 383305175650 541914213850 628620488066 766610351300 1083828427700 1257240976132 1571551220165 3143102440330 6286204880660 7857756100825 15715512201650 31431024403300