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2000001106224 = 2432113734125053
BaseRepresentation
bin11101000110101001010…
…110110000000100110000
321002012100111221001102100
4131012221112300010300
5230232000240344344
64130442100420400
7264331614623142
oct35065126600460
97065314831370
102000001106224
11701217536a20
122837443a7700
131167a3860a44
146cb2ca9ac92
153705814a569
hex1d1a95b0130

2000001106224 has 120 divisors (see below), whose sum is σ = 6271092923472. Its totient is φ = 589680898560.

The previous prime is 2000001106199. The next prime is 2000001106247. The reversal of 2000001106224 is 4226011000002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2000001106197 and 2000001106206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17003919 + ... + 17121134.

Almost surely, 22000001106224 is an apocalyptic number.

2000001106224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2000001106224 is an abundant number, since it is smaller than the sum of its proper divisors (4271091817248).

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

2000001106224 is a wasteful number, since it uses less digits than its factorization.

2000001106224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34125115 (or 34125106 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2000001106224 its reverse (4226011000002), we get a palindrome (6226012106226).

The spelling of 2000001106224 in words is "two trillion, one million, one hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 3256 3663 4884 5328 6512 7326 9768 14652 19536 29304 58608 34125053 68250106 102375159 136500212 204750318 273000424 307125477 375375583 409500636 546000848 614250954 750751166 819001272 1126126749 1228501908 1262626961 1501502332 1638002544 2252253498 2457003816 2525253922 3003004664 3378380247 3787880883 4504506996 4914007632 5050507844 6006009328 6756760494 7575761766 9009013992 10101015688 11363642649 13513520988 13888896571 15151523532 18018027984 20202031376 22727285298 27027041976 27777793142 30303047064 41666689713 45454570596 54054083952 55555586284 60606094128 83333379426 90909141192 111111172568 125000069139 166666758852 181818282384 222222345136 250000138278 333333517704 500000276556 666667035408 1000000553112 2000001106224