Search a number
-
+
12110020021000 = 2353119013122147
BaseRepresentation
bin1011000000111001010101…
…1100010000101100001000
31120212201002010011020211001
42300032111130100230020
53041402310111133000
641431133312544344
72356630404530146
oct260162534205410
946781063136731
1012110020021000
113949915659aa0
1214370052520b4
1369ac7c0a9625
142dc1b16d4596
15160021b7046a
hexb0395710b08

12110020021000 has 128 divisors (see below), whose sum is σ = 30917261381760. Its totient is φ = 4403119008000.

The previous prime is 12110020020971. The next prime is 12110020021013. The reversal of 12110020021000 is 12002001121.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 99081927 + ... + 99204073.

It is an arithmetic number, because the mean of its divisors is an integer number (241541104545).

Almost surely, 212110020021000 is an apocalyptic number.

12110020021000 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 12110020021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458630690880).

12110020021000 is an abundant number, since it is smaller than the sum of its proper divisors (18807241360760).

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

12110020021000 is a wasteful number, since it uses less digits than its factorization.

12110020021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131192 (or 131178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12110020021000 its reverse (12002001121), we get a palindrome (12122022022121).

The spelling of 12110020021000 in words is "twelve trillion, one hundred ten billion, twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 9013 11000 18026 36052 45065 72104 90130 99143 122147 180260 198286 225325 244294 360520 396572 450650 488588 495715 610735 793144 901300 977176 991430 1126625 1221470 1343617 1802600 1982860 2253250 2442940 2478575 2687234 3053675 3965720 4506500 4885880 4957150 5374468 6107350 6718085 9013000 9914300 10748936 12214700 12392875 13436170 15268375 19828600 24429400 24785750 26872340 30536750 33590425 49571500 53744680 61073500 67180850 99143000 122147000 134361700 167952125 268723400 335904250 671808500 1100910911 1343617000 2201821822 4403643644 5504554555 8807287288 11009109110 12110020021 22018218220 24220040042 27522772775 44036436440 48440080084 55045545550 60550100105 96880160168 110091091100 121100200210 137613863875 220182182200 242200400420 275227727750 302750500525 484400800840 550455455500 605501001050 1100910911000 1211002002100 1513752502625 2422004004200 3027505005250 6055010010500 12110020021000