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10000122220128 = 253197127769261
BaseRepresentation
bin1001000110000101010110…
…1110111000111001100000
31022102000001201012200022210
42101201111232320321200
52302320222242021003
633133554232402120
72051325231243225
oct221412556707140
938360051180283
1010000122220128
113206034321897
121156110846340
1357701357bb21
1426801946594c
151251d5a36503
hex91855bb8e60

10000122220128 has 96 divisors (see below), whose sum is σ = 27635829661440. Its totient is φ = 3157486133760.

The previous prime is 10000122220103. The next prime is 10000122220199. The reversal of 10000122220128 is 82102222100001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12615018 + ... + 13384278.

It is an arithmetic number, because the mean of its divisors is an integer number (287873225640).

Almost surely, 210000122220128 is an apocalyptic number.

It is an amenable number.

10000122220128 is an abundant number, since it is smaller than the sum of its proper divisors (17635707441312).

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

10000122220128 is a wasteful number, since it uses less digits than its factorization.

10000122220128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776420 (or 776412 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10000122220128 its reverse (82102222100001), we get a palindrome (92102344320129).

The spelling of 10000122220128 in words is "ten trillion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7127 14254 21381 28508 42762 57016 85524 114032 135413 171048 228064 270826 342096 406239 541652 684192 769261 812478 1083304 1538522 1624956 2166608 2307783 3077044 3249912 4333216 4615566 6154088 6499824 9231132 12308176 12999648 14615959 18462264 24616352 29231918 36924528 43847877 58463836 73849056 87695754 116927672 175391508 233855344 350783016 467710688 701566032 1403132064 5482523147 10965046294 16447569441 21930092588 32895138882 43860185176 65790277764 87720370352 104167939793 131580555528 175440740704 208335879586 263161111056 312503819379 416671759172 526322222112 625007638758 833343518344 1250015277516 1666687036688 2500030555032 3333374073376 5000061110064 10000122220128