Search a number
-
+
1031301311000 = 23531783730901
BaseRepresentation
bin11110000000111100101…
…10010010101000011000
310122120222011100202221212
433000132112102220120
5113344101113423000
62105435010122252
7134336415335342
oct17003626225030
93576864322855
101031301311000
11368410782164
12147a58880388
137633613753c
1437cb5634292
151bc5e73dc35
hexf01e592a18

1031301311000 has 128 divisors (see below), whose sum is σ = 2585989748160. Its totient is φ = 383576320000.

The previous prime is 1031301310999. The next prime is 1031301311069. The reversal of 1031301311000 is 1131031301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045550 + ... + 1776450.

Almost surely, 21031301311000 is an apocalyptic number.

1031301311000 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 1031301311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292994874080).

1031301311000 is an abundant number, since it is smaller than the sum of its proper divisors (1554688437160).

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

1031301311000 is a wasteful number, since it uses less digits than its factorization.

1031301311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731022 (or 731008 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1031301311000 its reverse (1131031301), we get a palindrome (1032432342301).

The spelling of 1031301311000 in words is "one trillion, thirty-one billion, three hundred one million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 83 85 100 125 136 166 170 200 250 332 340 415 425 500 664 680 830 850 1000 1411 1660 1700 2075 2125 2822 3320 3400 4150 4250 5644 7055 8300 8500 10375 11288 14110 16600 17000 20750 28220 35275 41500 56440 70550 83000 141100 176375 282200 352750 705500 730901 1411000 1461802 2923604 3654505 5847208 7309010 12425317 14618020 18272525 24850634 29236040 36545050 49701268 60664783 62126585 73090100 91362625 99402536 121329566 124253170 146180200 182725250 242659132 248506340 303323915 310632925 365450500 485318264 497012680 606647830 621265850 730901000 1031301311 1213295660 1242531700 1516619575 1553164625 2062602622 2426591320 2485063400 3033239150 3106329250 4125205244 5156506555 6066478300 6212658500 7583097875 8250410488 10313013110 12132956600 12425317000 15166195750 20626026220 25782532775 30332391500 41252052440 51565065550 60664783000 103130131100 128912663875 206260262200 257825327750 515650655500 1031301311000