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106035606541 = 1312069391219
BaseRepresentation
bin110001011000000110…
…1101111010000001101
3101010200210200220220201
41202300031233100031
53214130103402131
6120413451013501
710442442533014
oct1426015572015
9333623626821
10106035606541
1140a73376687
121867313a291
139ccb094367
1451bc89ba7b
152b59057761
hex18b036f40d

106035606541 has 8 divisors (see below), whose sum is σ = 106896952800. Its totient is φ = 105175047120.

The previous prime is 106035606529. The next prime is 106035606617. The reversal of 106035606541 is 145606530601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106035606541 - 219 = 106035082253 is a prime.

It is a super-2 number, since 2×1060356065412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106035606541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106035606241) 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 7 ways as a sum of consecutive naturals, for example, 75430 + ... + 466648.

It is an arithmetic number, because the mean of its divisors is an integer number (13362119100).

Almost surely, 2106035606541 is an apocalyptic number.

It is an amenable number.

106035606541 is a deficient number, since it is larger than the sum of its proper divisors (861346259).

106035606541 is a wasteful number, since it uses less digits than its factorization.

106035606541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393419.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 106035606541 in words is "one hundred six billion, thirty-five million, six hundred six thousand, five hundred forty-one".

Divisors: 1 131 2069 271039 391219 51249689 809432111 106035606541