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31271643700 = 225211318211117
BaseRepresentation
bin11101000111111011…
…110110101000110100
32222201101010002120221
4131013323312220310
51003021020044300
622211015504124
72154640404613
oct350773665064
988641102527
1031271643700
1112298033840
126088988044
132c449822ab
1417292a787a
15c305b731a
hex747ef6a34

31271643700 has 144 divisors (see below), whose sum is σ = 76578098688. Its totient is φ = 10981440000.

The previous prime is 31271643691. The next prime is 31271643719. The reversal of 31271643700 is 734617213.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 27995542 + ... + 27996658.

It is an arithmetic number, because the mean of its divisors is an integer number (531792352).

Almost surely, 231271643700 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 31271643700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38289049344).

31271643700 is an abundant number, since it is smaller than the sum of its proper divisors (45306454988).

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

31271643700 is a wasteful number, since it uses less digits than its factorization.

31271643700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 31271643700 in words is "thirty-one billion, two hundred seventy-one million, six hundred forty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 821 1100 1117 1364 1550 1642 1705 2234 3100 3284 3410 4105 4468 5585 6820 8210 8525 9031 11170 12287 16420 17050 18062 20525 22340 24574 25451 27925 34100 34627 36124 41050 45155 49148 50902 55850 61435 69254 82100 90310 101804 111700 122870 127255 138508 173135 180620 225775 245740 254510 279961 307175 346270 380897 451550 509020 559922 614350 636275 692540 761794 865675 903100 917057 1119844 1228700 1272550 1399805 1523588 1731350 1834114 1904485 2545100 2799610 3462700 3668228 3808970 4585285 5599220 6999025 7617940 9170570 9522425 10087627 13998050 18341140 19044850 20175254 22926425 27996100 28428767 38089700 40350508 45852850 50438135 56857534 91705700 100876270 113715068 142143835 201752540 252190675 284287670 312716437 504381350 568575340 625432874 710719175 1008762700 1250865748 1421438350 1563582185 2842876700 3127164370 6254328740 7817910925 15635821850 31271643700