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31303343040 = 2635171918097
BaseRepresentation
bin11101001001110100…
…110001101111000000
32222210120202120220120
4131021310301233000
51003102123434130
622214111140240
72155504011534
oct351164615700
988716676816
1031303343040
1112303a14a42
126097514680
132c4b4008b8
14172d599bc4
15c33279910
hex749d31bc0

31303343040 has 112 divisors (see below), whose sum is σ = 105234528672. Its totient is φ = 7856521216.

The previous prime is 31303343039. The next prime is 31303343041. The reversal of 31303343040 is 4034330313.

It is an interprime number because it is at equal distance from previous prime (31303343039) and next prime (31303343041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31303343040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31303343041) 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, 942729 + ... + 975368.

It is an arithmetic number, because the mean of its divisors is an integer number (939594006).

Almost surely, 231303343040 is an apocalyptic number.

31303343040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31303343040 is an abundant number, since it is smaller than the sum of its proper divisors (73931185632).

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

31303343040 is a wasteful number, since it uses less digits than its factorization.

31303343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918134 (or 1918124 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 31303343040 its reverse (4034330313), we get a palindrome (35337673353).

The spelling of 31303343040 in words is "thirty-one billion, three hundred three million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 1918097 3836194 5754291 7672388 9590485 11508582 15344776 19180970 23017164 28771455 30689552 32607649 38361940 46034328 57542910 61379104 65215298 76723880 92068656 97822947 115085820 122758208 130430596 153447760 163038245 184137312 195645894 230171640 260861192 306895520 326076490 368274624 391291788 460343280 489114735 521722384 613791040 652152980 782583576 920686560 978229470 1043444768 1304305960 1565167152 1841373120 1956458940 2086889536 2608611920 3130334304 3912917880 5217223840 6260668608 7825835760 10434447680 15651671520 31303343040