Search a number
-
+
106602346053 = 3372324523199
BaseRepresentation
bin110001101000111111…
…1101011011001000101
3101012011022010021101000
41203101333223121011
53221310200033203
6120550014123513
710462463663550
oct1432177533105
9335138107330
10106602346053
1141234277445
12187b0ab0599
13a08b615b98
145233c67697
152b8dba54a3
hex18d1feb645

106602346053 has 32 divisors (see below), whose sum is σ = 188338176000. Its totient is φ = 58267118448.

The previous prime is 106602346051. The next prime is 106602346091. The reversal of 106602346053 is 350643206601.

106602346053 is a `hidden beast` number, since 1 + 0 + 6 + 602 + 3 + 46 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 106602346053 - 21 = 106602346051 is a prime.

It is a super-2 number, since 2×1066023460532 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106602345999 and 106602346017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106602346051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12257253 + ... + 12265946.

It is an arithmetic number, because the mean of its divisors is an integer number (5885568000).

Almost surely, 2106602346053 is an apocalyptic number.

It is an amenable number.

106602346053 is a deficient number, since it is larger than the sum of its proper divisors (81735829947).

106602346053 is a wasteful number, since it uses less digits than its factorization.

106602346053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24523238 (or 24523232 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 106602346053 in words is "one hundred six billion, six hundred two million, three hundred forty-six thousand, fifty-three".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 24523199 73569597 171662393 220708791 514987179 564033577 662126373 1544961537 1692100731 3948235039 4634884611 5076302193 11844705117 15228906579 35534115351 106602346053