Search a number
-
+
20365214100 = 22352711881611
BaseRepresentation
bin10010111101110111…
…001000000110010100
31221120021202001210220
4102331313020012110
5313201443322400
613204453114340
71320445315020
oct227567100624
957507661726
1020365214100
1187006a5860
123b443289b0
131bc7259a5a
14db29d3380
157e2d5c7a0
hex4bddc8194

20365214100 has 144 divisors (see below), whose sum is σ = 73462964736. Its totient is φ = 4231728000.

The previous prime is 20365214057. The next prime is 20365214113. The reversal of 20365214100 is 141256302.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 417706 + ... + 463905.

Almost surely, 220365214100 is an apocalyptic number.

20365214100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20365214100 is an abundant number, since it is smaller than the sum of its proper divisors (53097750636).

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

20365214100 is a wasteful number, since it uses less digits than its factorization.

20365214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881646 (or 881639 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 20365214100 in words is "twenty billion, three hundred sixty-five million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 881611 1763222 2644833 3526444 4408055 5289666 6171277 8816110 9697721 10579332 12342554 13224165 17632220 18513831 19395442 22040275 24685108 26448330 29093163 30856385 37027662 38790884 44080550 48488605 52896660 58186326 61712770 66120825 67884047 74055324 88161100 92569155 96977210 116372652 123425540 132241650 135768094 145465815 154281925 185138310 193954420 203652141 242443025 264483300 271536188 290931630 308563850 339420235 370276620 407304282 462845775 484886050 581863260 617127700 678840470 727329075 814608564 925691550 969772100 1018260705 1357680940 1454658150 1697101175 1851383100 2036521410 2909316300 3394202350 4073042820 5091303525 6788404700 10182607050 20365214100