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1030320031000 = 235313402719681
BaseRepresentation
bin11101111111000111101…
…11000000010100011000
310122111102202220120212011
432333203313000110120
5113340043411443000
62105153353555304
7134303201522611
oct16774367002430
93574382816764
101030320031000
11367a57884a57
12147824115b34
137620aa52ca0
1437c2119ac08
151bc035092ba
hexefe3dc0518

1030320031000 has 128 divisors (see below), whose sum is σ = 2597183184960. Its totient is φ = 380312064000.

The previous prime is 1030320030997. The next prime is 1030320031009. The reversal of 1030320031000 is 1300230301.

It is a super-2 number, since 2×10303200310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030320031009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52341160 + ... + 52360840.

Almost surely, 21030320031000 is an apocalyptic number.

1030320031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030320031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298591592480).

1030320031000 is an abundant number, since it is smaller than the sum of its proper divisors (1566863153960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1030320031000 is a wasteful number, since it uses less digits than its factorization.

1030320031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23742 (or 23728 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 1030320031000 its reverse (1300230301), we get a palindrome (1031620261301).

The spelling of 1030320031000 in words is "one trillion, thirty billion, three hundred twenty million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 4027 6500 8054 13000 16108 19681 20135 32216 39362 40270 52351 78724 80540 98405 100675 104702 157448 161080 196810 201350 209404 255853 261755 393620 402700 418808 492025 503375 511706 523510 787240 805400 984050 1006750 1023412 1047020 1279265 1308775 1968100 2013500 2046824 2094040 2460125 2558530 2617550 3936200 4027000 4920250 5117060 5235100 6396325 6543875 9840500 10234120 10470200 12792650 13087750 19681000 25585300 26175500 31981625 51170600 52351000 63963250 79255387 127926500 158510774 255853000 317021548 396276935 634043096 792553870 1030320031 1585107740 1981384675 2060640062 3170215480 3962769350 4121280124 5151600155 7925538700 8242560248 9906923375 10303200310 15851077400 19813846750 20606400620 25758000775 39627693500 41212801240 51516001550 79255387000 103032003100 128790003875 206064006200 257580007750 515160015500 1030320031000