Search a number
-
+
3117101088 = 253193155127
BaseRepresentation
bin1011100111001011…
…0011000000100000
322001020101010211110
42321302303000200
522340434213323
61233150143320
7140146631163
oct27162630040
98036333743
103117101088
11135a582202
1272bab1b40
133a8a34b1a
14217da9ada
151339c5793
hexb9cb3020

3117101088 has 96 divisors (see below), whose sum is σ = 8891043840. Its totient is φ = 952577280.

The previous prime is 3117101077. The next prime is 3117101129. The reversal of 3117101088 is 8801017113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28981 + ... + 84107.

It is an arithmetic number, because the mean of its divisors is an integer number (92615040).

Almost surely, 23117101088 is an apocalyptic number.

3117101088 is a gapful number since it is divisible by the number (38) 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 3117101088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445521920).

3117101088 is an abundant number, since it is smaller than the sum of its proper divisors (5773942752).

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

3117101088 is a wasteful number, since it uses less digits than its factorization.

3117101088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55190 (or 55182 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 30.

The square root of 3117101088 is about 55831.0047196000. The cubic root of 3117101088 is about 1460.7760133095.

The spelling of 3117101088 in words is "three billion, one hundred seventeen million, one hundred one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 28272 55127 56544 110254 165381 220508 330762 441016 661524 882032 1047413 1323048 1708937 1764064 2094826 2646096 3142239 3417874 4189652 5126811 5292192 6284478 6835748 8379304 10253622 12568956 13671496 16758608 20507244 25137912 27342992 32469803 33517216 41014488 50275824 54685984 64939606 82028976 97409409 100551648 129879212 164057952 194818818 259758424 389637636 519516848 779275272 1039033696 1558550544 3117101088