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20540055210100 = 22522337832907997
BaseRepresentation
bin1001010101110010110101…
…01100011100100001110100
32200201121110202121201102021
410222321122230130201310
510143012013113210400
6111403545431322524
74216653500406406
oct452713254344164
980647422551367
1020540055210100
1165a9a96762758
122378972b20444
13b5cbc3a74a5a
14510203100b76
1525946225971a
hex12ae5ab1c874

20540055210100 has 144 divisors (see below), whose sum is σ = 48342372640128. Its totient is φ = 7554275688960.

The previous prime is 20540055210079. The next prime is 20540055210121. The reversal of 20540055210100 is 101255004502.

It is an interprime number because it is at equal distance from previous prime (20540055210079) and next prime (20540055210121).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 5609302 + ... + 8517298.

It is an arithmetic number, because the mean of its divisors is an integer number (335710921112).

Almost surely, 220540055210100 is an apocalyptic number.

20540055210100 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 20540055210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24171186320064).

20540055210100 is an abundant number, since it is smaller than the sum of its proper divisors (27802317430028).

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

20540055210100 is a wasteful number, since it uses less digits than its factorization.

20540055210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908154 (or 2908147 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 20540055210100 in words is "twenty trillion, five hundred forty billion, fifty-five million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 37 46 50 74 83 92 100 115 148 166 185 230 332 370 415 460 575 740 830 851 925 1150 1660 1702 1850 1909 2075 2300 3071 3404 3700 3818 4150 4255 6142 7636 8300 8510 9545 12284 15355 17020 19090 21275 30710 38180 42550 47725 61420 70633 76775 85100 95450 141266 153550 190900 282532 307100 353165 706330 1412660 1765825 2907997 3531650 5815994 7063300 11631988 14539985 29079970 58159940 66883931 72699925 107595889 133767862 145399850 215191778 241363751 267535724 290799700 334419655 430383556 482727502 537979445 668839310 965455004 1075958890 1206818755 1337678620 1672098275 2151917780 2413637510 2474705447 2689897225 3344196550 4827275020 4949410894 5379794450 5551366273 6034093775 6688393100 8930458787 9898821788 10759588900 11102732546 12068187550 12373527235 17860917574 22205465092 24136375100 24747054470 27756831365 35721835148 44652293935 49494108940 55513662730 61867636175 89304587870 111027325460 123735272350 138784156825 178609175740 205400552101 223261469675 247470544700 277568313650 410801104202 446522939350 555136627300 821602208404 893045878700 1027002760505 2054005521010 4108011042020 5135013802525 10270027605050 20540055210100