Search a number
-
+
1145112500 = 2255723569
BaseRepresentation
bin100010001000001…
…0000011110110100
32221210201202001002
41010100100132310
54321122100000
6305343422432
740243203260
oct10420203664
92853652032
101145112500
11538427a74
1227b5b4a18
1315331757c
14ac1230a0
156a7e78d5
hex444107b4

1145112500 has 144 divisors (see below), whose sum is σ = 2992308480. Its totient is φ = 374880000.

The previous prime is 1145112481. The next prime is 1145112511. The reversal of 1145112500 is 52115411.

It is a super-2 number, since 2×11451125002 = 2622565275312500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2012216 + ... + 2012784.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 21145112500 is an apocalyptic number.

1145112500 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 1145112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496154240).

1145112500 is an abundant number, since it is smaller than the sum of its proper divisors (1847195980).

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

1145112500 is an equidigital number, since it uses as much as digits as its factorization.

1145112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 1145112500 is about 33839.5109302720. The cubic root of 1145112500 is about 1046.2032186712.

Adding to 1145112500 its reverse (52115411), we get a palindrome (1197227911).

The spelling of 1145112500 in words is "one billion, one hundred forty-five million, one hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 125 140 161 175 230 250 322 350 460 500 569 575 625 644 700 805 875 1138 1150 1250 1610 1750 2276 2300 2500 2845 2875 3125 3220 3500 3983 4025 4375 5690 5750 6250 7966 8050 8750 11380 11500 12500 13087 14225 14375 15932 16100 17500 19915 20125 21875 26174 28450 28750 39830 40250 43750 52348 56900 57500 65435 71125 71875 79660 80500 87500 91609 99575 100625 130870 142250 143750 183218 199150 201250 261740 284500 287500 327175 355625 366436 398300 402500 458045 497875 503125 654350 711250 916090 995750 1006250 1308700 1422500 1635875 1778125 1832180 1991500 2012500 2290225 2489375 3271750 3556250 4580450 4978750 6543500 7112500 8179375 9160900 9957500 11451125 12446875 16358750 22902250 24893750 32717500 40896875 45804500 49787500 57255625 81793750 114511250 163587500 229022500 286278125 572556250 1145112500