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1030145241253 = 2774548181769
BaseRepresentation
bin11101111110110010111…
…00001111000010100101
310122110222121000100101211
432333121130033002211
5113334214140210003
62105124151351421
7134265650034532
oct16773134170245
93573877010354
101030145241253
11367978150917
12147795682571
13761b07847bb
1437c05c9bd89
151bbe2ece96d
hexefd970f0a5

1030145241253 has 8 divisors (see below), whose sum is σ = 1033899552920. Its totient is φ = 1026391184640.

The previous prime is 1030145241241. The next prime is 1030145241269. The reversal of 1030145241253 is 3521425410301.

It can be written as a sum of positive squares in 4 ways, for example, as 99927428769 + 930217812484 = 316113^2 + 964478^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1030145241253 - 25 = 1030145241221 is a prime.

It is a super-2 number, since 2×10301452412532 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030145247253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12557353 + ... + 12639121.

It is an arithmetic number, because the mean of its divisors is an integer number (129237444115).

Almost surely, 21030145241253 is an apocalyptic number.

It is an amenable number.

1030145241253 is a deficient number, since it is larger than the sum of its proper divisors (3754311667).

1030145241253 is an equidigital number, since it uses as much as digits as its factorization.

1030145241253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127527.

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 1030145241253 in words is "one trillion, thirty billion, one hundred forty-five million, two hundred forty-one thousand, two hundred fifty-three".

Divisors: 1 277 45481 81769 12598237 22650013 3718935889 1030145241253