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106378553351 = 7191137078219
BaseRepresentation
bin110001100010010100…
…1111110100000000111
3101011120201000102111102
41203010221332200013
53220330402201401
6120511501330315
710454105532650
oct1430451764007
9334521012442
10106378553351
1141129a136a4
1218749b6699b
13a05414b075
145212250527
152b791eb56b
hex18c4a7e807

106378553351 has 16 divisors (see below), whose sum is σ = 129106732800. Its totient is φ = 85618124928.

The previous prime is 106378553329. The next prime is 106378553353. The reversal of 106378553351 is 153355873601.

It is not a de Polignac number, because 106378553351 - 214 = 106378536967 is a prime.

It is a super-2 number, since 2×1063785533512 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106378553296 and 106378553305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106378553353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3524081 + ... + 3554138.

It is an arithmetic number, because the mean of its divisors is an integer number (8069170800).

Almost surely, 2106378553351 is an apocalyptic number.

106378553351 is a deficient number, since it is larger than the sum of its proper divisors (22728179449).

106378553351 is a wasteful number, since it uses less digits than its factorization.

106378553351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078358.

The product of its (nonzero) digits is 1134000, while the sum is 47.

The spelling of 106378553351 in words is "one hundred six billion, three hundred seventy-eight million, five hundred fifty-three thousand, three hundred fifty-one".

Divisors: 1 7 19 113 133 791 2147 15029 7078219 49547533 134486161 799838747 941403127 5598871229 15196936193 106378553351