Search a number
-
+
123303102130320 = 2435773394703649
BaseRepresentation
bin11100000010010010111101…
…100110100010100010010000
3121011120122212012011212221020
4130002102331212202202100
5112130144223121132240
61114124355122555440
734654232550063420
oct3402227546424220
9534518765155836
10123303102130320
1136319608713652
12119b4b73508b80
1353a558167b038
142263c8b098480
15e3c5e3a730d0
hex7024bd9a2890

123303102130320 has 80 divisors (see below), whose sum is σ = 436845276124800. Its totient is φ = 28183566200832.

The previous prime is 123303102130261. The next prime is 123303102130321. The reversal of 123303102130320 is 23031201303321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (123303102130321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36697350145 + ... + 36697353504.

It is an arithmetic number, because the mean of its divisors is an integer number (5460565951560).

Almost surely, 2123303102130320 is an apocalyptic number.

123303102130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123303102130320 is an abundant number, since it is smaller than the sum of its proper divisors (313542173994480).

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

123303102130320 is a wasteful number, since it uses less digits than its factorization.

123303102130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73394703672 (or 73394703666 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123303102130320 its reverse (23031201303321), we get a palindrome (146334303433641).

The spelling of 123303102130320 in words is "one hundred twenty-three trillion, three hundred three billion, one hundred two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 73394703649 146789407298 220184110947 293578814596 366973518245 440368221894 513762925543 587157629192 733947036490 880736443788 1027525851086 1100920554735 1174315258384 1467894072980 1541288776629 1761472887576 2055051702172 2201841109470 2568814627715 2935788145960 3082577553258 3522945775152 4110103404344 4403682218940 5137629255430 5871576291920 6165155106516 7706443883145 8220206808688 8807364437880 10275258510860 12330310213032 15412887766290 17614728875760 20550517021720 24660620426064 30825775532580 41101034043440 61651551065160 123303102130320