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10012101122202 = 233126147935939
BaseRepresentation
bin1001000110110001111110…
…1110110001100010011010
31022110010222112121221202120
42101230133232301202122
52303014240341402302
633143255030042110
72052231125236044
oct221543756614232
938403875557676
1010012101122202
113210121083263
1211584b44a9336
135781a223756a
14268834350a94
151256874da9bc
hex91b1fbb189a

10012101122202 has 96 divisors (see below), whose sum is σ = 21038106957120. Its totient is φ = 3175566393600.

The previous prime is 10012101122131. The next prime is 10012101122431. The reversal of 10012101122202 is 20222110121001.

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 47 ways as a sum of consecutive naturals, for example, 1685819749 + ... + 1685825687.

It is an arithmetic number, because the mean of its divisors is an integer number (219146947470).

Almost surely, 210012101122202 is an apocalyptic number.

10012101122202 is an abundant number, since it is smaller than the sum of its proper divisors (11026005834918).

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

10012101122202 is a wasteful number, since it uses less digits than its factorization.

10012101122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860 (or 10829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10012101122202 its reverse (20222110121001), we get a palindrome (30234211243203).

The spelling of 10012101122202 in words is "ten trillion, twelve billion, one hundred one million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 31 61 62 93 122 183 186 366 961 1891 1922 2883 3782 4793 5673 5766 5939 9586 11346 11878 14379 17817 28758 35634 58621 117242 148583 175863 184109 292373 297166 351726 362279 368218 445749 552327 584746 724558 877119 891498 1086837 1104654 1754238 2173674 4606073 5707379 9063563 9212146 11230649 11414758 13818219 17122137 18127126 22461298 27190689 27636438 28465627 33691947 34244274 54381378 56931254 67383894 85396881 170793762 280970453 348150119 561940906 696300238 842911359 882434437 1044450357 1685822718 1736403247 1764868874 2088900714 2647303311 3472806494 5209209741 5294606622 10418419482 27355467547 53828500657 54710935094 82066402641 107657001314 161485501971 164132805282 322971003942 1668683520367 3337367040734 5006050561101 10012101122202