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20734535020100 = 225211181539919289
BaseRepresentation
bin1001011011011101000101…
…00110000010111001000100
32201102012110101200200211012
410231232202212002321010
510204203311431120400
6112033151444501352
74240010051462126
oct455564246027104
981365411620735
1020734535020100
11667451551a460
1223aa5a99aa858
13b753485314c5
145197b1dd1216
1525e545c71d35
hex12dba2982e44

20734535020100 has 144 divisors (see below), whose sum is σ = 49367184048000. Its totient is φ = 7496396928000.

The previous prime is 20734535020051. The next prime is 20734535020141. The reversal of 20734535020100 is 102053543702.

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, 1074931256 + ... + 1074950544.

It is an arithmetic number, because the mean of its divisors is an integer number (342827667000).

Almost surely, 220734535020100 is an apocalyptic number.

20734535020100 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 20734535020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24683592024000).

20734535020100 is an abundant number, since it is smaller than the sum of its proper divisors (28632649027900).

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

20734535020100 is a wasteful number, since it uses less digits than its factorization.

20734535020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24894 (or 24887 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

Adding to 20734535020100 its reverse (102053543702), we get a palindrome (20836588563802).

The spelling of 20734535020100 in words is "twenty trillion, seven hundred thirty-four billion, five hundred thirty-five million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 181 220 275 362 550 724 905 1100 1810 1991 3620 3982 4525 5399 7964 9050 9955 10798 18100 19289 19910 21596 26995 38578 39820 49775 53990 59389 77156 96445 99550 107980 118778 134975 192890 199100 212179 237556 269950 296945 385780 424358 482225 539900 593890 848716 964450 977219 1060895 1187780 1484725 1928900 1954438 2121790 2969450 3491309 3908876 4243580 4886095 5304475 5938900 6982618 9772190 10608950 10749409 13965236 17456545 19544380 21217900 21498818 24430475 34913090 38404399 42997636 48860950 53747045 69826180 76808798 87282725 97721900 104141311 107494090 153617596 174565450 192021995 208282622 214988180 268735225 349130900 384043990 416565244 520706555 537470450 768087980 960109975 1041413110 1074940900 1145554421 1920219950 2082826220 2291108842 2603532775 3840439900 4582217684 5207065550 5727772105 10414131100 11455544210 18849577291 22911088420 28638860525 37699154582 57277721050 75398309164 94247886455 114555442100 188495772910 207345350201 376991545820 414690700402 471239432275 829381400804 942478864550 1036726751005 1884957729100 2073453502010 4146907004020 5183633755025 10367267510050 20734535020100