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1030135681936 = 2489228512
BaseRepresentation
bin11101111110110001101…
…11110001001110010000
310122110221221000200111001
432333120313301032100
5113334204213310221
62105123210431344
7134265502552024
oct16773067611620
93573857020431
101030135681936
11367972811859
12147792432554
13761ab7b86ba
1437c048d0384
151bbe2242391
hexefd8df1390

1030135681936 has 45 divisors (see below), whose sum is σ = 2019273833073. Its totient is φ = 509101929600.

The previous prime is 1030135681933. The next prime is 1030135681951. The reversal of 1030135681936 is 6391865310301.

The square root of 1030135681936 is 1014956.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 197807899536 + 832327782400 = 444756^2 + 912320^2 .

It is a super-2 number, since 2×10301356819362 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1030135681933) 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 8 ways as a sum of consecutive naturals, for example, 361322911 + ... + 361325761.

Almost surely, 21030135681936 is an apocalyptic number.

1030135681936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1030135681936 is the 1014956-th square number.

It is an amenable number.

1030135681936 is a deficient number, since it is larger than the sum of its proper divisors (989138151137).

1030135681936 is an frugal number, since it uses more digits than its factorization.

1030135681936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 1030135681936 in words is "one trillion, thirty billion, one hundred thirty-five million, six hundred eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 89 178 356 712 1424 2851 5702 7921 11404 15842 22808 31684 45616 63368 126736 253739 507478 1014956 2029912 4059824 8128201 16256402 22582771 32512804 45165542 65025608 90331084 130051216 180662168 361324336 723409889 1446819778 2893639556 5787279112 11574558224 64383480121 128766960242 257533920484 515067840968 1030135681936