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20321032140 = 22345103912073
BaseRepresentation
bin10010111011001110…
…100101011111001100
31221110012121101120000
4102323032211133030
5313104141012030
613200234124300
71316400631443
oct227316453714
957405541500
1020321032140
118688769242
123b31580690
131bbb05a896
14daabb1d5a
157de031860
hex4bb3a57cc

20321032140 has 120 divisors (see below), whose sum is σ = 63814470720. Its totient is φ = 5413277952.

The previous prime is 20321032139. The next prime is 20321032157. The reversal of 20321032140 is 4123012302.

20321032140 is a `hidden beast` number, since 20 + 321 + 0 + 321 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1677144 + ... + 1689216.

It is an arithmetic number, because the mean of its divisors is an integer number (531787256).

Almost surely, 220321032140 is an apocalyptic number.

20321032140 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 20321032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31907235360).

20321032140 is an abundant number, since it is smaller than the sum of its proper divisors (43493438580).

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

20321032140 is a wasteful number, since it uses less digits than its factorization.

20321032140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13133 (or 13122 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20321032140 its reverse (4123012302), we get a palindrome (24444044442).

The spelling of 20321032140 in words is "twenty billion, three hundred twenty-one million, thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1039 1620 2078 3117 4156 5195 6234 9351 10390 12073 12468 15585 18702 20780 24146 28053 31170 36219 37404 46755 48292 56106 60365 62340 72438 84159 93510 108657 112212 120730 140265 144876 168318 181095 187020 217314 241460 280530 325971 336636 362190 420795 434628 543285 561060 651942 724380 841590 977913 1086570 1303884 1629855 1683180 1955826 2173140 3259710 3911652 4889565 6519420 9779130 12543847 19558260 25087694 37631541 50175388 62719235 75263082 112894623 125438470 150526164 188157705 225789246 250876940 338683869 376315410 451578492 564473115 677367738 752630820 1016051607 1128946230 1354735476 1693419345 2032103214 2257892460 3386838690 4064206428 5080258035 6773677380 10160516070 20321032140