Search a number
-
+
106120775750 = 25311101382073
BaseRepresentation
bin110001011010101001…
…0101000100001000110
3101010220201221222002212
41202311102220201012
53214313404311000
6120430132303422
710444525465523
oct1426522504106
9333821858085
10106120775750
1141007458560
1218697771b72
13a012914542
1451c9d0c14a
152b6177cc35
hex18b54a8846

106120775750 has 64 divisors (see below), whose sum is σ = 218864213568. Its totient is φ = 38207200000.

The previous prime is 106120775689. The next prime is 106120775767. The reversal of 106120775750 is 57577021601.

It is a happy number.

It is a super-2 number, since 2×1061207757502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106120775698 and 106120775707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86714 + ... + 468786.

It is an arithmetic number, because the mean of its divisors is an integer number (3419753337).

Almost surely, 2106120775750 is an apocalyptic number.

106120775750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106120775750 is an abundant number, since it is smaller than the sum of its proper divisors (112743437818).

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

106120775750 is a wasteful number, since it uses less digits than its factorization.

106120775750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382202 (or 382192 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 41.

The spelling of 106120775750 in words is "one hundred six billion, one hundred twenty million, seven hundred seventy-five thousand, seven hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 101 110 125 202 250 275 505 550 1010 1111 1375 2222 2525 2750 5050 5555 11110 12625 25250 27775 55550 138875 277750 382073 764146 1910365 3820730 4202803 8405606 9551825 19103650 21014015 38589373 42028030 47759125 77178746 95518250 105070075 192946865 210140150 385893730 424483103 525350375 848966206 964734325 1050700750 1929468650 2122415515 4244831030 4823671625 9647343250 10612077575 21224155150 53060387875 106120775750