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10001010011112 = 23321767121951639
BaseRepresentation
bin1001000110001000101010…
…1001100010101111101000
31022102002100120202010121100
42101202022221202233220
52302324032030323422
633134222305041400
72051356231322151
oct221421251425750
938362316663540
1010001010011112
11320644a47534a
12115631a026260
1357712548c333
142680a1324928
151252389507ac
hex9188aa62be8

10001010011112 has 96 divisors (see below), whose sum is σ = 29107417435200. Its totient is φ = 3090742313472.

The previous prime is 10001010011087. The next prime is 10001010011131. The reversal of 10001010011112 is 21111001010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001010011094 and 10001010011103.

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 23 ways as a sum of consecutive naturals, for example, 60893812 + ... + 61057827.

It is an arithmetic number, because the mean of its divisors is an integer number (303202264950).

Almost surely, 210001010011112 is an apocalyptic number.

10001010011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001010011112 is an abundant number, since it is smaller than the sum of its proper divisors (19106407424088).

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

10001010011112 is a wasteful number, since it uses less digits than its factorization.

10001010011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121951735 (or 121951728 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001010011112 its reverse (21111001010001), we get a palindrome (31112011021113).

The spelling of 10001010011112 in words is "ten trillion, one billion, ten million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 67 68 72 102 134 136 153 201 204 268 306 402 408 536 603 612 804 1139 1206 1224 1608 2278 2412 3417 4556 4824 6834 9112 10251 13668 20502 27336 41004 82008 121951639 243903278 365854917 487806556 731709834 975613112 1097564751 1463419668 2073177863 2195129502 2926839336 4146355726 4390259004 6219533589 8170759813 8292711452 8780518008 12439067178 16341519626 16585422904 18658600767 24512279439 24878134356 32683039252 37317201534 49024558878 49756268712 65366078504 73536838317 74634403068 98049117756 138902916821 147073676634 149268806136 196098235512 277805833642 294147353268 416708750463 555611667284 588294706536 833417500926 1111223334568 1250126251389 1666835001852 2500252502778 3333670003704 5000505005556 10001010011112