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106100550513 = 3389257171803
BaseRepresentation
bin110001011010000010…
…1011110101101110001
3101010212022220102022000
41202310011132231301
53214243220104023
6120424131004213
710444161541026
oct1426405365561
9333768812260
10106100550513
1140aa6aa3a91
1218690a39669
13a00b682749
1451c736554d
152b5ead5243
hex18b415eb71

106100550513 has 32 divisors (see below), whose sum is σ = 159571555200. Its totient is φ = 69666398208.

The previous prime is 106100550511. The next prime is 106100550533. The reversal of 106100550513 is 315055001601.

106100550513 is a `hidden beast` number, since 1 + 0 + 6 + 100 + 550 + 5 + 1 + 3 = 666.

It is not a de Polignac number, because 106100550513 - 21 = 106100550511 is a prime.

It is a super-2 number, since 2×1061005505132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106100550511) 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 31 ways as a sum of consecutive naturals, for example, 531670 + ... + 703472.

It is an arithmetic number, because the mean of its divisors is an integer number (4986611100).

Almost surely, 2106100550513 is an apocalyptic number.

It is an amenable number.

106100550513 is a deficient number, since it is larger than the sum of its proper divisors (53471004687).

106100550513 is a wasteful number, since it uses less digits than its factorization.

106100550513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172158 (or 172152 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 106100550513 in words is "one hundred six billion, one hundred million, five hundred fifty thousand, five hundred thirteen".

Divisors: 1 3 9 27 89 257 267 771 801 2313 2403 6939 22873 68619 171803 205857 515409 617571 1546227 4638681 15290467 44153371 45871401 132460113 137614203 397380339 412842609 1192141017 3929650019 11788950057 35366850171 106100550513