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10202200200010 = 25713175659116537
BaseRepresentation
bin1001010001110110001010…
…0001001101001101001010
31100010022122212120200100001
42110131202201031031022
52314123101222400020
633410454233033214
72102041013602510
oct224354241151512
940108585520301
1010202200200010
113283802051035
12118930825580a
135900a92490a0
14273b095004b0
1512a5b162350a
hex9476284d34a

10202200200010 has 128 divisors (see below), whose sum is σ = 23935749143040. Its totient is φ = 3038334050304.

The previous prime is 10202200200007. The next prime is 10202200200053. The reversal of 10202200200010 is 1000200220201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10202200200010.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 87486462 + ... + 87602998.

It is an arithmetic number, because the mean of its divisors is an integer number (186998040180).

Almost surely, 210202200200010 is an apocalyptic number.

10202200200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202200200010 is an abundant number, since it is smaller than the sum of its proper divisors (13733548943030).

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

10202200200010 is a wasteful number, since it uses less digits than its factorization.

10202200200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122240.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10202200200010 its reverse (1000200220201), we get a palindrome (11202400420211).

The spelling of 10202200200010 in words is "ten trillion, two hundred two billion, two hundred million, two hundred thousand, ten".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 65 70 85 91 119 130 170 182 221 238 442 455 595 910 1105 1190 1547 2210 3094 5659 7735 11318 15470 28295 39613 56590 73567 79226 96203 116537 147134 192406 198065 233074 367835 396130 481015 514969 582685 673421 735670 815759 962030 1029938 1165370 1250639 1346842 1514981 1631518 1981129 2501278 2574845 3029962 3367105 3962258 4078795 5149690 6253195 6734210 7574905 8157590 8754473 9905645 10604867 12506390 13867903 15149810 17508946 19811290 21209734 25754677 27735806 43772365 51509354 53024335 69339515 87544730 106048670 128773385 138679030 180282739 257546770 360565478 659482883 901413695 1318965766 1802827390 3297414415 4616380181 6594828830 8573277479 9232760362 11211209011 17146554958 22422418022 23081900905 42866387395 46163801810 56056045055 60012942353 78478463077 85732774790 112112090110 120025884706 145745717143 156956926154 291491434286 300064711765 392392315385 600129423530 728728585715 784784630770 1020220020001 1457457171430 2040440040002 5101100100005 10202200200010