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106780014341 = 71113106673341
BaseRepresentation
bin110001101110010010…
…1011011011100000101
3101012121200102202102222
41203130211123130011
53222141140424331
6121015402142125
710500052101110
oct1433445333405
9335550382388
10106780014341
1141315597240
12188404b1945
13a0b9381650
14524d6b5577
152b9e59cb7b
hex18dc95b705

106780014341 has 16 divisors (see below), whose sum is σ = 143368971648. Its totient is φ = 76804804800.

The previous prime is 106780014283. The next prime is 106780014349. The reversal of 106780014341 is 143410087601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106780014341 - 26 = 106780014277 is a prime.

It is a super-2 number, since 2×1067800143412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106780014349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53335670 + ... + 53337671.

It is an arithmetic number, because the mean of its divisors is an integer number (8960560728).

Almost surely, 2106780014341 is an apocalyptic number.

106780014341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106780014341 is a deficient number, since it is larger than the sum of its proper divisors (36588957307).

106780014341 is a wasteful number, since it uses less digits than its factorization.

106780014341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106673372.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 106780014341 in words is "one hundred six billion, seven hundred eighty million, fourteen thousand, three hundred forty-one".

Divisors: 1 7 11 13 77 91 143 1001 106673341 746713387 1173406751 1386753433 8213847257 9707274031 15254287763 106780014341