Search a number
-
+
1110133000000 = 26561110133
BaseRepresentation
bin10000001001111001000…
…101010100011101000000
310221010110002002111120001
4100021321011110131000
5121142023022000000
62205553230525344
7143130062543413
oct20117105243500
93833402074501
101110133000000
11398894156962
1215b199366854
13808ba1c186b
143ba3316bb7a
151dd2538146a
hex10279154740

1110133000000 has 98 divisors (see below), whose sum is σ = 2753617448558. Its totient is φ = 444052800000.

The previous prime is 1110132999977. The next prime is 1110133000001. The reversal of 1110133000000 is 3310111.

It can be written as a sum of positive squares in 7 ways, for example, as 1043519454784 + 66613545216 = 1021528^2 + 258096^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110133000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 444934 + ... + 1555066.

Almost surely, 21110133000000 is an apocalyptic number.

1110133000000 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 1110133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376808724279).

1110133000000 is an abundant number, since it is smaller than the sum of its proper divisors (1643484448558).

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

1110133000000 is an frugal number, since it uses more digits than its factorization.

1110133000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110175 (or 1110140 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 1110133000000 its reverse (3310111), we get a palindrome (1110136310111).

The spelling of 1110133000000 in words is "one trillion, one hundred ten billion, one hundred thirty-three million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 1110133 2220266 4440532 5550665 8881064 11101330 17762128 22202660 27753325 35524256 44405320 55506650 71048512 88810640 111013300 138766625 177621280 222026600 277533250 355242560 444053200 555066500 693833125 888106400 1110133000 1387666250 1776212800 2220266000 2775332500 3469165625 4440532000 5550665000 6938331250 8881064000 11101330000 13876662500 17345828125 22202660000 27753325000 34691656250 44405320000 55506650000 69383312500 111013300000 138766625000 222026600000 277533250000 555066500000 1110133000000