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10200224320134 = 23171937791800641
BaseRepresentation
bin1001010001101110110010…
…1111110100101010000110
31100010010120011121120200220
42110123230233310222012
52314110024411221014
633405530211045210
72101641032110002
oct224335457645206
940103504546626
1010200224320134
113282988789262
121188a565a0806
1358cb52a985b4
1427399cd23702
1512a4e7e276a9
hex946ecbf4a86

10200224320134 has 128 divisors (see below), whose sum is σ = 23647471257600. Its totient is φ = 2912369541120.

The previous prime is 10200224320093. The next prime is 10200224320157. The reversal of 10200224320134 is 43102342200201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4764454 + ... + 6565094.

It is an arithmetic number, because the mean of its divisors is an integer number (184745869200).

Almost surely, 210200224320134 is an apocalyptic number.

10200224320134 is an abundant number, since it is smaller than the sum of its proper divisors (13447246937466).

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

10200224320134 is a wasteful number, since it uses less digits than its factorization.

10200224320134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800798.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10200224320134 its reverse (43102342200201), we get a palindrome (53302566520335).

The spelling of 10200224320134 in words is "ten trillion, two hundred billion, two hundred twenty-four million, three hundred twenty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 17 19 34 37 38 51 57 74 79 102 111 114 158 222 237 323 474 629 646 703 969 1258 1343 1406 1501 1887 1938 2109 2686 2923 3002 3774 4029 4218 4503 5846 8058 8769 9006 11951 17538 23902 25517 35853 49691 51034 55537 71706 76551 99382 111074 149073 153102 166611 298146 333222 944129 1800641 1888258 2832387 3601282 5401923 5664774 10803846 30610897 34212179 61221794 66623717 68424358 91832691 102636537 133247434 142250639 183665382 199871151 205273074 284501278 399742302 426751917 581607043 853503834 1132603189 1163214086 1265850623 1744821129 2265206378 2418260863 2531701246 2702762141 3397809567 3489642258 3797551869 4836521726 5263273643 5405524282 6795619134 7254782589 7595103738 8108286423 10526547286 14509565178 15789820929 16216572846 21519460591 31579641858 43038921182 45946956397 64558381773 89475651931 91893912794 100002199217 129116763546 137840869191 178951303862 200004398434 268426955793 275681738382 300006597651 536853911586 600013195302 1700037386689 3400074773378 5100112160067 10200224320134