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31303302000 = 2435343312049
BaseRepresentation
bin11101001001110100…
…100111101101110000
32222210120200111121120
4131021310213231300
51003102121131000
622214110222240
72155503451065
oct351164475560
988716614546
1031303302000
1112303997123
1260974b4980
132c4b3b8009
14172d588c6c
15c3326c6a0
hex749d27b70

31303302000 has 160 divisors (see below), whose sum is σ = 101163316800. Its totient is φ = 8327577600.

The previous prime is 31303301963. The next prime is 31303302029. The reversal of 31303302000 is 20330313.

It is a super-2 number, since 2×313033020002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 2591976 + ... + 2604024.

It is an arithmetic number, because the mean of its divisors is an integer number (632270730).

Almost surely, 231303302000 is an apocalyptic number.

31303302000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31303302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50581658400).

31303302000 is an abundant number, since it is smaller than the sum of its proper divisors (69860014800).

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

31303302000 is a wasteful number, since it uses less digits than its factorization.

31303302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508 (or 12492 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 31303302000 its reverse (20330313), we get a palindrome (31323632313).

The spelling of 31303302000 in words is "thirty-one billion, three hundred three million, three hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 433 500 600 750 866 1000 1200 1299 1500 1732 2000 2165 2598 3000 3464 4330 5196 6000 6495 6928 8660 10392 10825 12049 12990 17320 20784 21650 24098 25980 32475 34640 36147 43300 48196 51960 54125 60245 64950 72294 86600 96392 103920 108250 120490 129900 144588 162375 173200 180735 192784 216500 240980 259800 289176 301225 324750 361470 433000 481960 519600 578352 602450 649500 722940 866000 903675 963920 1204900 1299000 1445880 1506125 1807350 2409800 2598000 2891760 3012250 3614700 4518375 4819600 5217217 6024500 7229400 9036750 10434434 12049000 14458800 15651651 18073500 20868868 24098000 26086085 31303302 36147000 41737736 52172170 62606604 72294000 78258255 83475472 104344340 125213208 130430425 156516510 208688680 250426416 260860850 313033020 391291275 417377360 521721700 626066040 652152125 782582550 1043443400 1252132080 1304304250 1565165100 1956456375 2086886800 2608608500 3130330200 3912912750 5217217000 6260660400 7825825500 10434434000 15651651000 31303302000