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107531083275 = 35271118620101
BaseRepresentation
bin110010000100101011…
…0100001111000001011
3101021120000201000022220
41210021112201320023
53230210424131100
6121222112145123
710524502061340
oct1441126417013
9337500630286
10107531083275
1141670547470
1218a0bb381a3
13a1a8b61835
1452c13447c7
152be54abaa0
hex19095a1e0b

107531083275 has 48 divisors (see below), whose sum is σ = 221653694208. Its totient is φ = 44688240000.

The previous prime is 107531083249. The next prime is 107531083277. The reversal of 107531083275 is 572380135701.

It is a happy number.

It is not a de Polignac number, because 107531083275 - 210 = 107531082251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107531083277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9304276 + ... + 9315825.

It is an arithmetic number, because the mean of its divisors is an integer number (4617785296).

Almost surely, 2107531083275 is an apocalyptic number.

107531083275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107531083275 is an abundant number, since it is smaller than the sum of its proper divisors (114122610933).

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

107531083275 is a wasteful number, since it uses less digits than its factorization.

107531083275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18620132 (or 18620127 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 107531083275 in words is "one hundred seven billion, five hundred thirty-one million, eighty-three thousand, two hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 18620101 55860303 93100505 130340707 204821111 279301515 391022121 465502525 614463333 651703535 1024105555 1396507575 1433747777 1955110605 3072316665 3258517675 4301243331 5120527775 7168738885 9775553025 15361583325 21506216655 35843694425 107531083275