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31901135040 = 263353692261
BaseRepresentation
bin11101101101011101…
…001011000011000000
310001100020121120101000
4131231131023003000
51010313142310130
622353304012000
72206353113415
oct355535130300
9101306546330
1031901135040
11125903a4a15
126223761000
133015205488
141788b2a10c
15c6a9ad260
hex76d74b0c0

31901135040 has 112 divisors (see below), whose sum is σ = 112540145760. Its totient is φ = 8506967040.

The previous prime is 31901135009. The next prime is 31901135041. The reversal of 31901135040 is 4053110913.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31901134995 and 31901135013.

It is not an unprimeable number, because it can be changed into a prime (31901135041) 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 15 ways as a sum of consecutive naturals, for example, 1837491 + ... + 1854770.

It is an arithmetic number, because the mean of its divisors is an integer number (1004822730).

Almost surely, 231901135040 is an apocalyptic number.

31901135040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31901135040 is an abundant number, since it is smaller than the sum of its proper divisors (80639010720).

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

31901135040 is a wasteful number, since it uses less digits than its factorization.

31901135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692287 (or 3692271 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 31901135040 its reverse (4053110913), we get a palindrome (35954245953).

The spelling of 31901135040 in words is "thirty-one billion, nine hundred one million, one hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 3692261 7384522 11076783 14769044 18461305 22153566 29538088 33230349 36922610 44307132 55383915 59076176 66460698 73845220 88614264 99691047 110767830 118152352 132921396 147690440 166151745 177228528 199382094 221535660 236304704 265842792 295380880 332303490 354457056 398764188 443071320 498455235 531685584 590761760 664606980 708914112 797528376 886142640 996910470 1063371168 1181523520 1329213960 1595056752 1772285280 1993820940 2126742336 2658427920 3190113504 3544570560 3987641880 5316855840 6380227008 7975283760 10633711680 15950567520 31901135040