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20331014000 = 2453111754361
BaseRepresentation
bin10010111011110100…
…101010011101110000
31221110220101112002112
4102323310222131300
5313114214422000
613201232104452
71316551524203
oct227364523560
957426345075
1020331014000
118693366810
123b34995128
131bc01440cb
14dac24d93a
157ded54235
hex4bbd2a770

20331014000 has 160 divisors (see below), whose sum is σ = 56785240512. Its totient is φ = 6958080000.

The previous prime is 20331013987. The next prime is 20331014023. The reversal of 20331014000 is 41013302.

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, 346820 + ... + 401180.

Almost surely, 220331014000 is an apocalyptic number.

20331014000 is a gapful number since it is divisible by the number (20) 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 20331014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28392620256).

20331014000 is an abundant number, since it is smaller than the sum of its proper divisors (36454226512).

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

20331014000 is a wasteful number, since it uses less digits than its factorization.

20331014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54412 (or 54396 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20331014000 its reverse (41013302), we get a palindrome (20372027302).

The spelling of 20331014000 in words is "twenty billion, three hundred thirty-one million, fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 125 136 170 176 187 200 220 250 272 275 340 374 400 425 440 500 550 680 748 850 880 935 1000 1100 1360 1375 1496 1700 1870 2000 2125 2200 2750 2992 3400 3740 4250 4400 4675 5500 6800 7480 8500 9350 11000 14960 17000 18700 22000 23375 34000 37400 46750 54361 74800 93500 108722 187000 217444 271805 374000 434888 543610 597971 869776 924137 1087220 1195942 1359025 1848274 2174440 2391884 2718050 2989855 3696548 4348880 4620685 4783768 5436100 5979710 6795125 7393096 9241370 9567536 10165507 10872200 11959420 13590250 14786192 14949275 18482740 20331014 21744400 23103425 23918840 27180500 29898550 36965480 40662028 46206850 47837680 50827535 54361000 59797100 73930960 74746375 81324056 92413700 101655070 108722000 115517125 119594200 149492750 162648112 184827400 203310140 231034250 239188400 254137675 298985500 369654800 406620280 462068500 508275350 597971000 813240560 924137000 1016550700 1195942000 1270688375 1848274000 2033101400 2541376750 4066202800 5082753500 10165507000 20331014000