Search a number
-
+
2300031121300 = 22521123312932591
BaseRepresentation
bin100001011110000100100…
…010011011011110010100
322010212210010100000002221
4201132010202123132110
5300140430431340200
64520341505112124
7325112625646153
oct41360442333624
98125703300087
102300031121300
1180748a673a70
12311917928644
13138b7996b443
147d471bb359a
153ec6828791a
hex2178489b794

2300031121300 has 144 divisors (see below), whose sum is σ = 5864808628224. Its totient is φ = 774203760000.

The previous prime is 2300031121273. The next prime is 2300031121319. The reversal of 2300031121300 is 31211300032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681996 + ... + 2250595.

It is an arithmetic number, because the mean of its divisors is an integer number (40727837696).

Almost surely, 22300031121300 is an apocalyptic number.

2300031121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300031121300 is an abundant number, since it is smaller than the sum of its proper divisors (3564777506924).

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

2300031121300 is a wasteful number, since it uses less digits than its factorization.

2300031121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932670 (or 2932663 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2300031121300 its reverse (31211300032), we get a palindrome (2331242421332).

The spelling of 2300031121300 in words is "two trillion, three hundred billion, thirty-one million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 31 44 46 50 55 62 92 100 110 115 124 155 220 230 253 275 310 341 460 506 550 575 620 682 713 775 1012 1100 1150 1265 1364 1426 1550 1705 2300 2530 2852 3100 3410 3565 5060 6325 6820 7130 7843 8525 12650 14260 15686 17050 17825 25300 31372 34100 35650 39215 71300 78430 156860 196075 392150 784300 2932591 5865182 11730364 14662955 29325910 32258501 58651820 64517002 67449593 73314775 90910321 129034004 134899186 146629550 161292505 181820642 269798372 293259100 322585010 337247965 363641284 454551605 645170020 674495930 741945523 806462525 909103210 1000013531 1348991860 1483891046 1612925050 1686239825 1818206420 2000027062 2090937383 2272758025 2967782092 3225850100 3372479650 3709727615 4000054124 4181874766 4545516050 5000067655 6744959300 7419455230 8363749532 9091032100 10000135310 10454686915 14838910460 18548638075 20000270620 20909373830 23000311213 25000338275 37097276150 41818747660 46000622426 50000676550 52273434575 74194552300 92001244852 100001353100 104546869150 115001556065 209093738300 230003112130 460006224260 575007780325 1150015560650 2300031121300