Search a number
-
+
11006061000 = 2335311333517
BaseRepresentation
bin10100100000000001…
…10010100111001000
31001102000211211100220
422100000302213020
5140020022423000
65020042030040
7536511655254
oct122000624710
931360754326
1011006061000
1147386a8590
122171aa8320
13106526a33c
14765a0b264
1544638a1a0
hex2900329c8

11006061000 has 128 divisors (see below), whose sum is σ = 37460741760. Its totient is φ = 2668128000.

The previous prime is 11006060999. The next prime is 11006061029. The reversal of 11006061000 is 16060011.

It is a super-2 number, since 2×110060610002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133759 + ... + 199758.

It is an arithmetic number, because the mean of its divisors is an integer number (292662045).

Almost surely, 211006061000 is an apocalyptic number.

11006061000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006061000 is an abundant number, since it is smaller than the sum of its proper divisors (26454680760).

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

11006061000 is a wasteful number, since it uses less digits than its factorization.

11006061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333552 (or 333538 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 11006061000 in words is "eleven billion, six million, sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 333517 667034 1000551 1334068 1667585 2001102 2668136 3335170 3668687 4002204 5002755 6670340 7337374 8004408 8337925 10005510 11006061 13340680 14674748 16675850 18343435 20011020 22012122 25013775 29349496 33351700 36686870 40022040 41689625 44024244 50027550 55030305 66703400 73373740 83379250 88048488 91717175 100055100 110060610 125068875 146747480 166758500 183434350 200110200 220121220 250137750 275151525 333517000 366868700 440242440 458585875 500275500 550303050 733737400 917171750 1000551000 1100606100 1375757625 1834343500 2201212200 2751515250 3668687000 5503030500 11006061000