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10000123201041 = 319251901377551
BaseRepresentation
bin1001000110000101010111…
…0010101000011000010001
31022102000001210001111212220
42101201111302220120101
52302320223014413131
633133554305411253
72051325242500101
oct221412562503021
938360053044786
1010000123201041
113206034931866
121156111039b29
1357701383344c
1426801963d201
151251d5b7be96
hex91855ca8611

10000123201041 has 32 divisors (see below), whose sum is σ = 14092923156480. Its totient is φ = 6289925400000.

The previous prime is 10000123200943. The next prime is 10000123201087. The reversal of 10000123201041 is 14010232100001.

It is not a de Polignac number, because 10000123201041 - 214 = 10000123184657 is a prime.

It is a super-3 number, since 3×100001232010413 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10000123201041.

It is not an unprimeable number, because it can be changed into a prime (10000123201241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128910216 + ... + 128987766.

It is an arithmetic number, because the mean of its divisors is an integer number (440403848640).

Almost surely, 210000123201041 is an apocalyptic number.

It is an amenable number.

10000123201041 is a deficient number, since it is larger than the sum of its proper divisors (4092799955439).

10000123201041 is a wasteful number, since it uses less digits than its factorization.

10000123201041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86837.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10000123201041 its reverse (14010232100001), we get a palindrome (24010355301042).

The spelling of 10000123201041 in words is "ten trillion, one hundred twenty-three million, two hundred one thousand, forty-one".

Divisors: 1 3 19 57 251 753 4769 9013 14307 27039 77551 171247 232653 513741 1473469 2262263 4420407 6786789 19465301 42982997 58395903 128948991 369840719 698967163 1109522157 2096901489 13280376097 39841128291 175440757913 526322273739 3333374400347 10000123201041