Search a number
-
+
1111132200 = 233523750051
BaseRepresentation
bin100001000111010…
…1000100000101000
32212102210100211110
41002032220200220
54233422212300
6302131230320
736351316323
oct10216504050
92772710743
101111132200
11520229082
122701483a0
1314927a999
14a77d97ba
1567834550
hex423a8828

1111132200 has 96 divisors (see below), whose sum is σ = 3537675360. Its totient is φ = 288288000.

The previous prime is 1111132199. The next prime is 1111132201. The reversal of 1111132200 is 22311111.

It is an interprime number because it is at equal distance from previous prime (1111132199) and next prime (1111132201).

It is a super-2 number, since 2×11111322002 = 2469229531753680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1111132201) 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, 2826 + ... + 47225.

It is an arithmetic number, because the mean of its divisors is an integer number (36850785).

Almost surely, 21111132200 is an apocalyptic number.

1111132200 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 1111132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768837680).

1111132200 is an abundant number, since it is smaller than the sum of its proper divisors (2426543160).

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

1111132200 is a wasteful number, since it uses less digits than its factorization.

1111132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50107 (or 50098 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1111132200 is about 33333.6496651657. The cubic root of 1111132200 is about 1035.7507214179.

Adding to 1111132200 its reverse (22311111), we get a palindrome (1133443311).

It can be divided in two parts, 111 and 1132200, that added together give a palindrome (1132311).

The spelling of 1111132200 in words is "one billion, one hundred eleven million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 50051 100102 150153 200204 250255 300306 400408 500510 600612 750765 1001020 1201224 1251275 1501530 1851887 2002040 2502550 3003060 3703774 3753825 5005100 5555661 6006120 7407548 7507650 9259435 10010200 11111322 14815096 15015300 18518870 22222644 27778305 30030600 37037740 44445288 46297175 55556610 74075480 92594350 111113220 138891525 185188700 222226440 277783050 370377400 555566100 1111132200