Search a number
-
+
1120211122200 = 233522381174719
BaseRepresentation
bin10000010011010001110…
…010010011100000011000
310222002110102212011012020
4100103101302103200120
5121323143021402300
62214341244014440
7143634606301032
oct20232162234030
93862412764166
101120211122200
113a2095a7a275
12161130531420
1381835132791
143c30b828c52
151e2150218a0
hex104d1c93818

1120211122200 has 96 divisors (see below), whose sum is σ = 3623639500800. Its totient is φ = 285735007360.

The previous prime is 1120211122097. The next prime is 1120211122201. The reversal of 1120211122200 is 22211120211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1120211122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120211122201) 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, 40573560 + ... + 40601159.

It is an arithmetic number, because the mean of its divisors is an integer number (37746244800).

Almost surely, 21120211122200 is an apocalyptic number.

1120211122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120211122200 is an abundant number, since it is smaller than the sum of its proper divisors (2503428378600).

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

1120211122200 is a wasteful number, since it uses less digits than its factorization.

1120211122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81174761 (or 81174752 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1120211122200 its reverse (22211120211), we get a palindrome (1142422242411).

The spelling of 1120211122200 in words is "one trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 81174719 162349438 243524157 324698876 405873595 487048314 649397752 811747190 974096628 1217620785 1623494380 1867018537 1948193256 2029367975 2435241570 3246988760 3734037074 4058735950 4870483140 5601055611 6088103925 7468074148 8117471900 9335092685 9740966280 11202111222 12176207850 14936148296 16234943800 18670185370 22404222444 24352415700 28005278055 37340370740 44808444888 46675463425 48704831400 56010556110 74680741480 93350926850 112021112220 140026390275 186701853700 224042224440 280052780550 373403707400 560105561100 1120211122200