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6000105012 = 22311307148063
BaseRepresentation
bin1011001011010001…
…00101011000110100
3120111011020220201120
411211220211120310
544242011330022
62431215023540
7301455023346
oct54550453064
916434226646
106000105012
1125a99a2780
1211b550abb0
137481047c5
1440cc39296
15251b58d5c
hex165a25634

6000105012 has 48 divisors (see below), whose sum is σ = 15322847232. Its totient is φ = 1812278880.

The previous prime is 6000104983. The next prime is 6000105029. The reversal of 6000105012 is 2105010006.

It is a junction number, because it is equal to n+sod(n) for n = 6000104982 and 6000105000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33508 + ... + 114555.

It is an arithmetic number, because the mean of its divisors is an integer number (319225984).

Almost surely, 26000105012 is an apocalyptic number.

It is an amenable number.

6000105012 is an abundant number, since it is smaller than the sum of its proper divisors (9322742220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6000105012 is a wasteful number, since it uses less digits than its factorization.

6000105012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148388 (or 148386 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 6000105012 is about 77460.3447707277. The cubic root of 6000105012 is about 1817.1311938518.

Adding to 6000105012 its reverse (2105010006), we get a palindrome (8105115018).

The spelling of 6000105012 in words is "six billion, one hundred five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 307 614 921 1228 1842 3377 3684 6754 10131 13508 20262 40524 148063 296126 444189 592252 888378 1628693 1776756 3257386 4886079 6514772 9772158 19544316 45455341 90910682 136366023 181821364 272732046 500008751 545464092 1000017502 1500026253 2000035004 3000052506 6000105012