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1113132100 = 2252195091151
BaseRepresentation
bin100001001011001…
…0000110001000100
32212120112222011211
41002112100301010
54234430211400
6302242141204
736404316043
oct10226206104
92776488154
101113132100
11521374693
12270951804
131497cb062
14a7b9a55a
1567acbdba
hex42590c44

1113132100 has 72 divisors (see below), whose sum is σ = 2549836800. Its totient is φ = 420624000.

The previous prime is 1113132091. The next prime is 1113132101. The reversal of 1113132100 is 12313111.

It is not an unprimeable number, because it can be changed into a prime (1113132101) 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, 966525 + ... + 967675.

It is an arithmetic number, because the mean of its divisors is an integer number (35414400).

Almost surely, 21113132100 is an apocalyptic number.

1113132100 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 1113132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

1113132100 is an abundant number, since it is smaller than the sum of its proper divisors (1436704700).

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

1113132100 is a wasteful number, since it uses less digits than its factorization.

1113132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1113132100 is about 33363.6343943522. The cubic root of 1113132100 is about 1036.3717565375.

Adding to 1113132100 its reverse (12313111), we get a palindrome (1125445211).

The spelling of 1113132100 in words is "one billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 509 950 1018 1151 1900 2036 2302 2545 4604 5090 5755 9671 10180 11510 12725 19342 21869 23020 25450 28775 38684 43738 48355 50900 57550 87476 96710 109345 115100 193420 218690 241775 437380 483550 546725 585859 967100 1093450 1171718 2186900 2343436 2929295 5858590 11131321 11717180 14646475 22262642 29292950 44525284 55656605 58585900 111313210 222626420 278283025 556566050 1113132100