Search a number
-
+
1000001111000 = 23534127190001
BaseRepresentation
bin11101000110101001011…
…01100000001111011000
310112121011210111212111012
432203110231200033120
5112341000241023000
62043221050153052
7132150650124053
oct16432455401730
93477153455435
101000001111000
11356109614681
12141982422788
13733b8597438
1436586655a9a
151b02b8d5735
hexe8d4b603d8

1000001111000 has 128 divisors (see below), whose sum is σ = 2405947864320. Its totient is φ = 388800000000.

The previous prime is 1000001110991. The next prime is 1000001111033. The reversal of 1000001111000 is 1111000001.

It is a Harshad number since it is a multiple of its sum of digits (5).

1000001111000 is a modest number, since divided by 1111000 gives 10000 as remainder.

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 31 ways as a sum of consecutive naturals, for example, 11066000 + ... + 11156000.

It is an arithmetic number, because the mean of its divisors is an integer number (18796467690).

Almost surely, 21000001111000 is an apocalyptic number.

1000001111000 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 1000001111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202973932160).

1000001111000 is an abundant number, since it is smaller than the sum of its proper divisors (1405946753320).

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

1000001111000 is a wasteful number, since it uses less digits than its factorization.

1000001111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90334 (or 90320 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000001111000 its reverse (1111000001), we get a palindrome (1001112111001).

The spelling of 1000001111000 in words is "one trillion, one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 271 328 410 500 542 820 1000 1025 1084 1355 1640 2050 2168 2710 4100 5125 5420 6775 8200 10250 10840 11111 13550 20500 22222 27100 33875 41000 44444 54200 55555 67750 88888 90001 111110 135500 180002 222220 271000 277775 360004 444440 450005 555550 720008 900010 1111100 1388875 1800020 2222200 2250025 2777750 3600040 3690041 4500050 5555500 7380082 9000100 11111000 11250125 14760164 18000200 18450205 22500250 24390271 29520328 36900410 45000500 48780542 73800820 90001000 92251025 97561084 121951355 147601640 184502050 195122168 243902710 369004100 461255125 487805420 609756775 738008200 922510250 975610840 1000001111 1219513550 1845020500 2000002222 2439027100 3048783875 3690041000 4000004444 4878054200 5000005555 6097567750 8000008888 10000011110 12195135500 20000022220 24390271000 25000027775 40000044440 50000055550 100000111100 125000138875 200000222200 250000277750 500000555500 1000001111000