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106111360311 = 3112377900481
BaseRepresentation
bin110001011010010111…
…0101101110100110111
3101010220002020121112220
41202310232231310313
53214304002012221
6120425154413423
710444352452335
oct1426456556467
9333802217486
10106111360311
1141002107600
1218694591273
13a010998a88
1451c897ab55
152b60a1d0c6
hex18b4badd37

106111360311 has 24 divisors (see below), whose sum is σ = 159716144112. Its totient is φ = 62571801600.

The previous prime is 106111360283. The next prime is 106111360337. The reversal of 106111360311 is 113063111601.

It is not a de Polignac number, because 106111360311 - 26 = 106111360247 is a prime.

It is a super-2 number, since 2×1061113603112 (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 (106111367311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3936810 + ... + 3963671.

It is an arithmetic number, because the mean of its divisors is an integer number (6654839338).

Almost surely, 2106111360311 is an apocalyptic number.

106111360311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106111360311 is a deficient number, since it is larger than the sum of its proper divisors (53604783801).

106111360311 is a wasteful number, since it uses less digits than its factorization.

106111360311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900543 (or 7900532 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 106111360311 its reverse (113063111601), we get a palindrome (219174471912).

The spelling of 106111360311 in words is "one hundred six billion, one hundred eleven million, three hundred sixty thousand, three hundred eleven".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 13431 7900481 23701443 86905291 260715873 292317797 876953391 955958201 2867874603 3215495767 9646487301 35370453437 106111360311