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2023110012112 = 247371774727509
BaseRepresentation
bin11101011100001010110…
…000001110110011010000
321011102000000102002210121
4131130022300032303100
5231121312130341422
64145223124440024
7266110360236460
oct35341260166320
97142000362717
102023110012112
1170aaa594aa52
12288113549014
13118a17361257
146dcc1c17ba0
153795bcbd8c7
hex1d70ac0ecd0

2023110012112 has 80 divisors (see below), whose sum is σ = 4601244251520. Its totient is φ = 843535240704.

The previous prime is 2023110012097. The next prime is 2023110012127. The reversal of 2023110012112 is 2112100113202.

It is an interprime number because it is at equal distance from previous prime (2023110012097) and next prime (2023110012127).

It is a super-2 number, since 2×20231100121122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 73529814 + ... + 73557322.

It is an arithmetic number, because the mean of its divisors is an integer number (57515553144).

Almost surely, 22023110012112 is an apocalyptic number.

It is an amenable number.

2023110012112 is an abundant number, since it is smaller than the sum of its proper divisors (2578134239408).

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

2023110012112 is a wasteful number, since it uses less digits than its factorization.

2023110012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45308 (or 45302 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2023110012112 its reverse (2112100113202), we get a palindrome (4135210125314).

The spelling of 2023110012112 in words is "two trillion, twenty-three billion, one hundred ten million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 17747 27509 35494 55018 70988 110036 124229 141976 192563 220072 248458 283952 385126 440144 496916 656639 770252 993832 1017833 1313278 1540504 1987664 2035666 2626556 3081008 4071332 4596473 5253112 7124831 8142664 9192946 10506224 14249662 16285328 18385892 28499324 36771784 56998648 73543568 113997296 488202223 976404446 1952808892 3417415561 3905617784 6834831122 7811235568 13669662244 18063482251 27339324488 36126964502 54678648976 72253929004 126444375757 144507858008 252888751514 289015716016 505777503028 1011555006056 2023110012112