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31130004000 = 253532594167
BaseRepresentation
bin11100111111011111…
…100010101000100000
32222100111121001110010
4130333133202220200
51002223240112000
622145000004520
72151300445104
oct347737425040
988314531403
1031130004000
1112225091837
126049460740
132c2151c814
141714557904
15c22e39d50
hex73f7e2a20

31130004000 has 96 divisors (see below), whose sum is σ = 101981932416. Its totient is φ = 8301331200.

The previous prime is 31130003999. The next prime is 31130004001. The reversal of 31130004000 is 40003113.

It is an interprime number because it is at equal distance from previous prime (31130003999) and next prime (31130004001).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31130004001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1285084 + ... + 1309083.

It is an arithmetic number, because the mean of its divisors is an integer number (1062311796).

Almost surely, 231130004000 is an apocalyptic number.

31130004000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31130004000 is an abundant number, since it is smaller than the sum of its proper divisors (70851928416).

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

31130004000 is a wasteful number, since it uses less digits than its factorization.

31130004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594195 (or 2594177 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31130004000 its reverse (40003113), we get a palindrome (31170007113).

The spelling of 31130004000 in words is "thirty-one billion, one hundred thirty million, four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 2594167 5188334 7782501 10376668 12970835 15565002 20753336 25941670 31130004 38912505 41506672 51883340 62260008 64854175 77825010 83013344 103766680 124520016 129708350 155650020 194562525 207533360 249040032 259416700 311300040 324270875 389125050 415066720 518833400 622600080 648541750 778250100 972812625 1037666800 1245200160 1297083500 1556500200 1945625250 2075333600 2594167000 3113000400 3891250500 5188334000 6226000800 7782501000 10376668000 15565002000 31130004000