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1053221143041 = 35192234012551
BaseRepresentation
bin11110101001110001101…
…11110100001000000001
310201200112210101121200000
433110320313310020001
5114223444103034131
62123502040150213
7136043542001244
oct17247067641001
93650483347600
101053221143041
11376739972431
12150155768369
137841a49a862
1438d948a725b
151c5e3cd3ce6
hexf538df4201

1053221143041 has 96 divisors (see below), whose sum is σ = 1672962170880. Its totient is φ = 660299040000.

The previous prime is 1053221143033. The next prime is 1053221143049. The reversal of 1053221143041 is 1403411223501.

1053221143041 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 221 + 1 + 430 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1053221143033) and next prime (1053221143049).

It is not a de Polignac number, because 1053221143041 - 23 = 1053221143033 is a prime.

It is a super-2 number, since 2×10532211430412 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1053221142996 and 1053221143014.

It is not an unprimeable number, because it can be changed into a prime (1053221143049) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 412864716 + ... + 412867266.

It is an arithmetic number, because the mean of its divisors is an integer number (17426689280).

Almost surely, 21053221143041 is an apocalyptic number.

It is an amenable number.

1053221143041 is a deficient number, since it is larger than the sum of its proper divisors (619741027839).

1053221143041 is a wasteful number, since it uses less digits than its factorization.

1053221143041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1053221143041 its reverse (1403411223501), we get a palindrome (2456632366542).

The spelling of 1053221143041 in words is "one trillion, fifty-three billion, two hundred twenty-one million, one hundred forty-three thousand, forty-one".

Divisors: 1 3 9 19 27 57 81 171 223 243 401 513 669 1203 1539 2007 2551 3609 4237 4617 6021 7619 7653 10827 12711 18063 22857 22959 32481 38133 48469 54189 68571 68877 89423 97443 114399 145407 205713 206631 268269 343197 436221 568873 617139 619893 804807 1022951 1029591 1308663 1699037 1706619 1851417 2414421 3068853 3925989 5097111 5119857 7243263 9206559 10808587 11777967 15291333 15359571 19436069 21729789 27619677 32425761 45873999 46078713 58308207 82859031 97277283 137621997 138236139 174924621 228118073 248577093 291831849 412865991 524773863 684354219 875495547 1574321589 2053062657 2626486641 4334243387 4722964767 6159187971 13002730161 18477563913 39008190483 55432691739 117024571449 351073714347 1053221143041