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103232011131300 = 223523764114508863
BaseRepresentation
bin10111011110001110010011…
…010110100101100110100100
3111112111212212100110110002210
4113132032103112211212210
5102012323124322200200
61003320044202003420
730513160320364632
oct2736162326454644
9445455770413083
10103232011131300
112a9904a5037867
12b6b307b7a6570
13457a976c00c0c
141b6c65538a352
15be047c922650
hex5de3935a59a4

103232011131300 has 144 divisors (see below), whose sum is σ = 307235757652992. Its totient is φ = 26742734438400.

The previous prime is 103232011131251. The next prime is 103232011131329. The reversal of 103232011131300 is 3131110232301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139332 + ... + 14369531.

It is an arithmetic number, because the mean of its divisors is an integer number (2133581650368).

Almost surely, 2103232011131300 is an apocalyptic number.

103232011131300 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 103232011131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153617878826496).

103232011131300 is an abundant number, since it is smaller than the sum of its proper divisors (204003746521692).

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

103232011131300 is a wasteful number, since it uses less digits than its factorization.

103232011131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14509558 (or 14509551 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103232011131300 its reverse (3131110232301), we get a palindrome (106363121363601).

The spelling of 103232011131300 in words is "one hundred three trillion, two hundred thirty-two billion, eleven million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 641 740 925 1110 1282 1850 1923 2220 2564 2775 3205 3700 3846 5550 6410 7692 9615 11100 12820 16025 19230 23717 32050 38460 47434 48075 64100 71151 94868 96150 118585 142302 192300 237170 284604 355755 474340 592925 711510 1185850 1423020 1778775 2371700 3557550 7115100 14508863 29017726 43526589 58035452 72544315 87053178 145088630 174106356 217632945 290177260 362721575 435265890 536827931 725443150 870531780 1073655862 1088164725 1450886300 1610483793 2147311724 2176329450 2684139655 3220967586 4352658900 5368279310 6441935172 8052418965 9300181183 10736558620 13420698275 16104837930 18600362366 26841396550 27900543549 32209675860 37200724732 40262094825 46500905915 53682793100 55801087098 80524189650 93001811830 111602174196 139502717745 161048379300 186003623660 232504529575 279005435490 344106703771 465009059150 558010870980 688213407542 697513588725 930018118300 1032320111313 1376426815084 1395027177450 1720533518855 2064640222626 2790054354900 3441067037710 4129280445252 5161600556565 6882134075420 8602667594275 10323201113130 17205335188550 20646402226260 25808002782825 34410670377100 51616005565650 103232011131300