Search a number
-
+
11000155600 = 245274997873
BaseRepresentation
bin10100011111010100…
…10000110111010000
31001101121201210200101
422033222100313100
5140012014434400
65015311302144
7536410531330
oct121752206720
931347653611
1011000155600
114735334795
12216bb1a954
131063c80415
14764d110c0
15445ac056a
hex28fa90dd0

11000155600 has 120 divisors (see below), whose sum is σ = 30267656000. Its totient is φ = 3763445760.

The previous prime is 11000155597. The next prime is 11000155601. The reversal of 11000155600 is 655100011.

It is a super-2 number, since 2×110001556002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000155601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393264 + ... + 1401136.

Almost surely, 211000155600 is an apocalyptic number.

11000155600 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 11000155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15133828000).

11000155600 is an abundant number, since it is smaller than the sum of its proper divisors (19267500400).

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

11000155600 is a wasteful number, since it uses less digits than its factorization.

11000155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 11000155600 its reverse (655100011), we get a palindrome (11655255611).

The spelling of 11000155600 in words is "eleven billion, one hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 499 560 700 998 1400 1996 2495 2800 3493 3992 4990 6986 7873 7984 9980 12475 13972 15746 17465 19960 24950 27944 31492 34930 39365 39920 49900 55111 55888 62984 69860 78730 87325 99800 110222 125968 139720 157460 174650 196825 199600 220444 275555 279440 314920 349300 393650 440888 551110 629840 698600 787300 881776 1102220 1377775 1397200 1574600 2204440 2755550 3149200 3928627 4408880 5511100 7857254 11022200 15714508 19643135 22044400 27500389 31429016 39286270 55000778 62858032 78572540 98215675 110001556 137501945 157145080 196431350 220003112 275003890 314290160 392862700 440006224 550007780 687509725 785725400 1100015560 1375019450 1571450800 2200031120 2750038900 5500077800 11000155600