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1214115100 = 2252112115231
BaseRepresentation
bin100100001011101…
…1110110100011100
310010121120102210221
41020113132310130
54441303140400
6320250411124
742041544112
oct11027366434
93117512727
101214115100
11573377710
1229a730aa4
131646c7103
14b7365ab2
15718c7c1a
hex485ded1c

1214115100 has 72 divisors (see below), whose sum is σ = 2888315136. Its totient is φ = 439320000.

The previous prime is 1214115079. The next prime is 1214115103. The reversal of 1214115100 is 15114121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214115103) 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, 229485 + ... + 234715.

It is an arithmetic number, because the mean of its divisors is an integer number (40115488).

Almost surely, 21214115100 is an apocalyptic number.

1214115100 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 1214115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444157568).

1214115100 is an abundant number, since it is smaller than the sum of its proper divisors (1674200036).

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

1214115100 is a wasteful number, since it uses less digits than its factorization.

1214115100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 1214115100 is about 34844.1544595360. The cubic root of 1214115100 is about 1066.8088753540.

Adding to 1214115100 its reverse (15114121), we get a palindrome (1229229221).

The spelling of 1214115100 in words is "one billion, two hundred fourteen million, one hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 211 220 275 422 550 844 1055 1100 2110 2321 4220 4642 5231 5275 9284 10462 10550 11605 20924 21100 23210 26155 46420 52310 57541 58025 104620 115082 116050 130775 230164 232100 261550 287705 523100 575410 1103741 1150820 1438525 2207482 2877050 4414964 5518705 5754100 11037410 12141151 22074820 24282302 27593525 48564604 55187050 60705755 110374100 121411510 242823020 303528775 607057550 1214115100