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1031013031300 = 225274171505969
BaseRepresentation
bin11110000000011010010…
…10100101110110000100
310122120020001220122112221
433000031022211312010
5113343003314000200
62105350231222124
7134326315111630
oct17001512456604
93576201818487
101031013031300
11368282a8337a
12147998217944
13762bb4b1335
1437c89231dc0
151bc4429791a
hexf00d2a5d84

1031013031300 has 144 divisors (see below), whose sum is σ = 2656172494080. Its totient is φ = 340010496000.

The previous prime is 1031013031163. The next prime is 1031013031303. The reversal of 1031013031300 is 31303101301.

It is not an unprimeable number, because it can be changed into a prime (1031013031303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1784716 + ... + 2290684.

It is an arithmetic number, because the mean of its divisors is an integer number (18445642320).

Almost surely, 21031013031300 is an apocalyptic number.

1031013031300 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 1031013031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328086247040).

1031013031300 is an abundant number, since it is smaller than the sum of its proper divisors (1625159462780).

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

1031013031300 is a wasteful number, since it uses less digits than its factorization.

1031013031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506102 (or 506095 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1031013031300 its reverse (31303101301), we get a palindrome (1062316132601).

The spelling of 1031013031300 in words is "one trillion, thirty-one billion, thirteen million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 71 82 100 140 142 164 175 205 284 287 350 355 410 497 574 700 710 820 994 1025 1148 1420 1435 1775 1988 2050 2485 2870 2911 3550 4100 4970 5740 5822 7100 7175 9940 11644 12425 14350 14555 20377 24850 28700 29110 40754 49700 58220 72775 81508 101885 145550 203770 291100 407540 505969 509425 1011938 1018850 2023876 2037700 2529845 3541783 5059690 7083566 10119380 12649225 14167132 17708915 20744729 25298450 35417830 35923799 41489458 50596900 70835660 71847598 82978916 88544575 103723645 143695196 145213103 177089150 179618995 207447290 251466593 290426206 354178300 359237990 414894580 502933186 518618225 580852412 718475980 726065515 898094975 1005866372 1037236450 1257332965 1452131030 1472875759 1796189950 2074472900 2514665930 2904262060 2945751518 3592379900 3630327575 5029331860 5891503036 6286664825 7260655150 7364378795 10310130313 12573329650 14521310300 14728757590 20620260626 25146659300 29457515180 36821893975 41240521252 51550651565 73643787950 103101303130 147287575900 206202606260 257753257825 515506515650 1031013031300