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106101121335 = 3511643037099
BaseRepresentation
bin110001011010000011…
…1101010000100110111
3101010212100222102022120
41202310013222010313
53214243341340320
6120424151131023
710444166436156
oct1426407520467
9333770872276
10106101121335
1140aa7353940
1218691073a73
13a00b822501
1451c747359d
152b5eb99440
hex18b41ea137

106101121335 has 16 divisors (see below), whose sum is σ = 185194684800. Its totient is φ = 51442967840.

The previous prime is 106101121333. The next prime is 106101121339. The reversal of 106101121335 is 533121101601.

It is not a de Polignac number, because 106101121335 - 21 = 106101121333 is a prime.

It is a super-2 number, since 2×1061011213352 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101121333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321518385 + ... + 321518714.

It is an arithmetic number, because the mean of its divisors is an integer number (11574667800).

Almost surely, 2106101121335 is an apocalyptic number.

106101121335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106101121335 is a deficient number, since it is larger than the sum of its proper divisors (79093563465).

106101121335 is a wasteful number, since it uses less digits than its factorization.

106101121335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643037118.

The product of its (nonzero) digits is 540, while the sum is 24.

Adding to 106101121335 its reverse (533121101601), we get a palindrome (639222222936).

The spelling of 106101121335 in words is "one hundred six billion, one hundred one million, one hundred twenty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 165 643037099 1929111297 3215185495 7073408089 9645556485 21220224267 35367040445 106101121335