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106275241919 = 7119971384351
BaseRepresentation
bin110001011111001111…
…1110111111110111111
3101011022111121122212002
41202332133313332333
53220122430220134
6120453331132515
710451412436310
oct1427637677677
9334274548762
10106275241919
1141086670250
121871b44413b
13a038918242
14520263a607
152b700e087e
hex18be7f7fbf

106275241919 has 16 divisors (see below), whose sum is σ = 132631996416. Its totient is φ = 82728756000.

The previous prime is 106275241913. The next prime is 106275241951. The reversal of 106275241919 is 919142572601.

It is not a de Polignac number, because 106275241919 - 216 = 106275176383 is a prime.

It is a super-2 number, since 2×1062752419192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106275241913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615407 + ... + 768944.

It is an arithmetic number, because the mean of its divisors is an integer number (8289499776).

Almost surely, 2106275241919 is an apocalyptic number.

106275241919 is a deficient number, since it is larger than the sum of its proper divisors (26356754497).

106275241919 is a wasteful number, since it uses less digits than its factorization.

106275241919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385366.

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 106275241919 in words is "one hundred six billion, two hundred seventy-five million, two hundred forty-one thousand, nine hundred nineteen".

Divisors: 1 7 11 77 997 6979 10967 76769 1384351 9690457 15227861 106595027 1380197947 9661385629 15182177417 106275241919