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106700725417 = 11213431577503
BaseRepresentation
bin110001101011111011…
…0111101110010101001
3101012102011020110111011
41203113312331302221
53222010341203132
6121003450503521
710465100126056
oct1432766756251
9335364213434
10106700725417
1141284861300
1218819a34ba1
13a0a5b0cb20
145242d5602d
152b97639b47
hex18d7dbdca9

106700725417 has 24 divisors (see below), whose sum is σ = 129241747712. Its totient is φ = 87456710880.

The previous prime is 106700725409. The next prime is 106700725423. The reversal of 106700725417 is 714527007601.

It is a happy number.

It is not a de Polignac number, because 106700725417 - 23 = 106700725409 is a prime.

It is a super-2 number, since 2×1067007254172 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106700725417.

It is not an unprimeable number, because it can be changed into a prime (106700725477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721113 + ... + 856390.

Almost surely, 2106700725417 is an apocalyptic number.

It is an amenable number.

106700725417 is a deficient number, since it is larger than the sum of its proper divisors (22541022295).

106700725417 is a wasteful number, since it uses less digits than its factorization.

106700725417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577581 (or 1577570 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 106700725417 in words is "one hundred six billion, seven hundred million, seven hundred twenty-five thousand, four hundred seventeen".

Divisors: 1 11 13 43 121 143 473 559 1573 5203 6149 67639 1577503 17352533 20507539 67832629 190877863 225582929 746158919 881824177 2481412219 8207748109 9700065947 106700725417