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117121000 = 2353173677
BaseRepresentation
bin1101111101100…
…01111111101000
322011101100210211
412332301333220
5214440333000
615342150504
72621340433
oct676617750
9264340724
10117121000
1160125817
1233282434
131b359689
14117aa81a
15a4377ba
hex6fb1fe8

117121000 has 64 divisors (see below), whose sum is σ = 276054480. Its totient is φ = 46508800.

The previous prime is 117120979. The next prime is 117121057. The reversal of 117121000 is 121711.

It can be written as a sum of positive squares in 8 ways, for example, as 57244356 + 59876644 = 7566^2 + 7738^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172662 + ... + 173338.

Almost surely, 2117121000 is an apocalyptic number.

117121000 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 117121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138027240).

117121000 is an abundant number, since it is smaller than the sum of its proper divisors (158933480).

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

117121000 is a wasteful number, since it uses less digits than its factorization.

117121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 117121000 is about 10822.2456080058. The cubic root of 117121000 is about 489.2658727610.

Adding to 117121000 its reverse (121711), we get a palindrome (117242711).

The spelling of 117121000 in words is "one hundred seventeen million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 250 346 500 677 692 865 1000 1354 1384 1730 2708 3385 3460 4325 5416 6770 6920 8650 13540 16925 17300 21625 27080 33850 34600 43250 67700 84625 86500 117121 135400 169250 173000 234242 338500 468484 585605 677000 936968 1171210 2342420 2928025 4684840 5856050 11712100 14640125 23424200 29280250 58560500 117121000