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106011500000505 = 35111737793761141
BaseRepresentation
bin11000000110101010111001…
…110011001011010011111001
3111220100121012201010122011120
4120012222321303023103321
5102343343023000004010
61013245002154415453
731221035540064621
oct3006527163132371
9456317181118146
10106011500000505
1130862252044180
12ba818a4a31589
13471cac2b85768
141c26dac067881
15c3c90815ee70
hex606ab9ccb4f9

106011500000505 has 32 divisors (see below), whose sum is σ = 195922857760128. Its totient is φ = 48376014259200.

The previous prime is 106011500000489. The next prime is 106011500000603. The reversal of 106011500000505 is 505000005110601.

It is not a de Polignac number, because 106011500000505 - 24 = 106011500000489 is a prime.

It is a super-2 number, since 2×1060115000005052 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18896877766 + ... + 18896883375.

It is an arithmetic number, because the mean of its divisors is an integer number (6122589305004).

Almost surely, 2106011500000505 is an apocalyptic number.

106011500000505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106011500000505 is a deficient number, since it is larger than the sum of its proper divisors (89911357759623).

106011500000505 is a wasteful number, since it uses less digits than its factorization.

106011500000505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37793761177.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 106011500000505 in words is "one hundred six trillion, eleven billion, five hundred million, five hundred five", and thus it is an aban number.

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 37793761141 113381283423 188968805705 415731372551 566906417115 642493939397 1247194117653 1927481818191 2078656862755 3212469696985 6235970588265 7067433333367 9637409090955 21202300000101 35337166666835 106011500000505