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1030138628753 = 13531495121377
BaseRepresentation
bin11101111110110010000…
…11000000101010010001
310122110222010120101202102
432333121003000222101
5113334210442110003
62105123353530145
7134265536604233
oct16773103005221
93573863511672
101030138628753
11367974444843
12147793413955
13761ac2aaa90
1437c0505a253
151bbe2625588
hexefd90c0a91

1030138628753 has 8 divisors (see below), whose sum is σ = 1130311761768. Its totient is φ = 932955738624.

The previous prime is 1030138628747. The next prime is 1030138628767. The reversal of 1030138628753 is 3578268310301.

It can be written as a sum of positive squares in 4 ways, for example, as 165151206544 + 864987422209 = 406388^2 + 930047^2 .

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

It is not a de Polignac number, because 1030138628753 - 26 = 1030138628689 is a prime.

It is a super-2 number, since 2×10301386287532 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1030138628698 and 1030138628707.

It is not an unprimeable number, because it can be changed into a prime (1030138628653) 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 7 ways as a sum of consecutive naturals, for example, 747560000 + ... + 747561377.

It is an arithmetic number, because the mean of its divisors is an integer number (141288970221).

Almost surely, 21030138628753 is an apocalyptic number.

1030138628753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1030138628753 is a deficient number, since it is larger than the sum of its proper divisors (100173133015).

1030138628753 is a wasteful number, since it uses less digits than its factorization.

1030138628753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495121443.

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 1030138628753 in words is "one trillion, thirty billion, one hundred thirty-eight million, six hundred twenty-eight thousand, seven hundred fifty-three".

Divisors: 1 13 53 689 1495121377 19436577901 79241432981 1030138628753