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20322121140 = 223251131915231
BaseRepresentation
bin10010111011010010…
…101111010110110100
31221110021122201101100
4102323102233112310
5313104430334030
613200313330100
71316413115406
oct227322572664
957407581340
1020322121140
118689342442
123b31a06930
131bbb34c469
14daadb6b76
157de199360
hex4bb4af5b4

20322121140 has 144 divisors (see below), whose sum is σ = 62526836736. Its totient is φ = 5342131200.

The previous prime is 20322121117. The next prime is 20322121153. The reversal of 20322121140 is 4112122302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3882325 + ... + 3887555.

It is an arithmetic number, because the mean of its divisors is an integer number (434214144).

Almost surely, 220322121140 is an apocalyptic number.

20322121140 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 20322121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31263418368).

20322121140 is an abundant number, since it is smaller than the sum of its proper divisors (42204715596).

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

20322121140 is a wasteful number, since it uses less digits than its factorization.

20322121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20322121140 its reverse (4112122302), we get a palindrome (24434243442).

The spelling of 20322121140 in words is "twenty billion, three hundred twenty-two million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 191 226 339 382 452 565 573 678 764 955 1017 1130 1146 1356 1695 1719 1910 2034 2260 2292 2865 3390 3438 3820 4068 5085 5231 5730 6780 6876 8595 10170 10462 11460 15693 17190 20340 20924 21583 26155 31386 34380 43166 47079 52310 62772 64749 78465 86332 94158 104620 107915 129498 156930 188316 194247 215830 235395 258996 313860 323745 388494 431660 470790 591103 647490 776988 941580 971235 999121 1182206 1294980 1773309 1942470 1998242 2364412 2955515 2997363 3546618 3884940 3996484 4995605 5319927 5911030 5994726 7093236 8866545 8992089 9991210 10639854 11822060 11989452 14986815 17733090 17984178 19982420 21279708 26599635 29973630 35466180 35968356 44960445 53199270 59947260 89920890 106398540 112900673 179841780 225801346 338702019 451602692 564503365 677404038 1016106057 1129006730 1354808076 1693510095 2032212114 2258013460 3387020190 4064424228 5080530285 6774040380 10161060570 20322121140