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21540210512200 = 23521710361508311
BaseRepresentation
bin1001110010111001110001…
…00110001001000101001000
32211021020001022021022022221
410321130320212021011020
510310403322342342300
6113451234110423424
74352141332250302
oct471347046110510
984236038238287
1021540210512200
116955174311396
1224ba778b01b74
13c03305277913
145467a2012972
1527549c44b31a
hex139738989148

21540210512200 has 96 divisors (see below), whose sum is σ = 53541755429760. Its totient is φ = 8030524953600.

The previous prime is 21540210512143. The next prime is 21540210512201. The reversal of 21540210512200 is 221501204512.

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

It is not an unprimeable number, because it can be changed into a prime (21540210512201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30403956 + ... + 31104355.

It is an arithmetic number, because the mean of its divisors is an integer number (557726619060).

Almost surely, 221540210512200 is an apocalyptic number.

21540210512200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21540210512200 is an abundant number, since it is smaller than the sum of its proper divisors (32001544917560).

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

21540210512200 is a wasteful number, since it uses less digits than its factorization.

21540210512200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61508447 (or 61508438 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 21540210512200 its reverse (221501204512), we get a palindrome (21761711716712).

The spelling of 21540210512200 in words is "twenty-one trillion, five hundred forty billion, two hundred ten million, five hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 103 136 170 200 206 340 412 425 515 680 824 850 1030 1700 1751 2060 2575 3400 3502 4120 5150 7004 8755 10300 14008 17510 20600 35020 43775 70040 87550 175100 350200 61508311 123016622 246033244 307541555 492066488 615083110 1045641287 1230166220 1537707775 2091282574 2460332440 3075415550 4182565148 5228206435 6150831100 6335356033 8365130296 10456412870 12301662200 12670712066 20912825740 25341424132 26141032175 31676780165 41825651480 50682848264 52282064350 63353560330 104564128700 107701052561 126707120660 158383900825 209128257400 215402105122 253414241320 316767801650 430804210244 538505262805 633535603300 861608420488 1077010525610 1267071206600 2154021051220 2692526314025 4308042102440 5385052628050 10770105256100 21540210512200