Search a number
-
+
31270056400 = 2452117106831
BaseRepresentation
bin11101000111110101…
…110011000111010000
32222201021010110020001
4131013311303013100
51003020113301100
622210521455344
72154621044122
oct350765630720
988637113201
1031270056400
111229714a220
126088341554
132c4454796b
141728db3212
15c303a1d6a
hex747d731d0

31270056400 has 60 divisors (see below), whose sum is σ = 81955986624. Its totient is φ = 11370928000.

The previous prime is 31270056373. The next prime is 31270056427. The reversal of 31270056400 is 465007213.

It is an interprime number because it is at equal distance from previous prime (31270056373) and next prime (31270056427).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3549016 + ... + 3557815.

Almost surely, 231270056400 is an apocalyptic number.

It is an amenable number.

31270056400 is an abundant number, since it is smaller than the sum of its proper divisors (50685930224).

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

31270056400 is a wasteful number, since it uses less digits than its factorization.

31270056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106860 (or 7106849 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 31270056400 in words is "thirty-one billion, two hundred seventy million, fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 7106831 14213662 28427324 35534155 56854648 71068310 78175141 113709296 142136620 156350282 177670775 284273240 312700564 355341550 390875705 568546480 625401128 710683100 781751410 1250802256 1421366200 1563502820 1954378525 2842732400 3127005640 3908757050 6254011280 7817514100 15635028200 31270056400