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10010122130988 = 22327411229788321
BaseRepresentation
bin1001000110101010100111…
…0001100001011000101100
31022102221212121210210011200
42101222221301201120230
52303001212231142423
633142330413245500
72052131105134260
oct221525161413054
938387777723150
1010010122130988
11320a2a5a85931
121158041793890
13577c48237845
142686c75a40a0
151255bd8c7d43
hex91aa9c6162c

10010122130988 has 144 divisors (see below), whose sum is σ = 29647592170560. Its totient is φ = 2788004044800.

The previous prime is 10010122130873. The next prime is 10010122131001. The reversal of 10010122130988 is 88903122101001.

It is a happy number.

It is a super-2 number, since 2×100101221309882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 12303868 + ... + 13092188.

It is an arithmetic number, because the mean of its divisors is an integer number (205886056740).

Almost surely, 210010122130988 is an apocalyptic number.

10010122130988 is a gapful number since it is divisible by the number (18) 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 10010122130988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823796085280).

10010122130988 is an abundant number, since it is smaller than the sum of its proper divisors (19637470039572).

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

10010122130988 is a wasteful number, since it uses less digits than its factorization.

10010122130988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789608 (or 789603 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 10010122130988 its reverse (88903122101001), we get a palindrome (98913244231989).

The spelling of 10010122130988 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred thirty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1229 1476 1722 2458 2583 3444 3687 4916 5166 7374 8603 10332 11061 14748 17206 22122 25809 34412 44244 50389 51618 77427 100778 103236 151167 154854 201556 302334 309708 352723 453501 604668 705446 788321 907002 1058169 1410892 1576642 1814004 2116338 2364963 3153284 3174507 4232676 4729926 5518247 6349014 7094889 9459852 11036494 12698028 14189778 16554741 22072988 28379556 32321161 33109482 49664223 64642322 66218964 96963483 99328446 129284644 193926966 198656892 226248127 290890449 387853932 452496254 581780898 678744381 904992508 968846509 1163561796 1357488762 1937693018 2036233143 2714977524 2906539527 3875386036 4072466286 5813079054 6781925563 8144932572 8719618581 11626158108 13563851126 17439237162 20345776689 27127702252 34878474324 39722706869 40691553378 61037330067 79445413738 81383106756 119168120607 122074660134 158890827476 238336241214 244149320268 278058948083 357504361821 476672482428 556117896166 715008723642 834176844249 1112235792332 1430017447284 1668353688498 2502530532747 3336707376996 5005061065494 10010122130988