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100000011111112 = 23721014016298661
BaseRepresentation
bin10110101111001100010001…
…001000111100101011001000
3111010001220111201020000212101
4112233030101020330223020
5101101400010321023422
6552403212040523144
730030522332450200
oct2657142110745310
9433056451200771
10100000011111112
1129954848306112
12b2708094804b4
1343a4c64536478
141a9a0524a5400
15b8636a766c27
hex5af31123cac8

100000011111112 has 96 divisors (see below), whose sum is σ = 220821137834040. Its totient is φ = 42326995200000.

The previous prime is 100000011111079. The next prime is 100000011111139. The reversal of 100000011111112 is 211111110000001.

It can be written as a sum of positive squares in 4 ways, for example, as 92516427154116 + 7483583956996 = 9618546^2 + 2735614^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12727062 + ... + 19025722.

Almost surely, 2100000011111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000011111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110410568917020).

100000011111112 is an abundant number, since it is smaller than the sum of its proper divisors (120821126722928).

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

100000011111112 is a wasteful number, since it uses less digits than its factorization.

100000011111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299183 (or 6299172 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100000011111112 its reverse (211111110000001), we get a palindrome (311111121111113).

The spelling of 100000011111112 in words is "one hundred trillion, eleven million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 401 404 707 802 808 1414 1604 2807 2828 3208 4949 5614 5656 9898 11228 19649 19796 22456 39298 39592 40501 78596 81002 157192 162004 283507 324008 567014 1134028 1984549 2268056 3969098 6298661 7938196 12597322 15876392 25194644 44090627 50389288 88181254 176362508 308634389 352725016 617268778 636164761 1234537556 1272329522 2469075112 2525763061 2544659044 4453153327 5051526122 5089318088 8906306654 10103052244 17680341427 17812613308 20206104488 31172073289 35360682854 35625226616 62344146578 70721365708 123762389989 124688293156 141442731416 247524779978 249376586312 255102069161 495049559956 510204138322 990099119912 1020408276644 1785714484127 2040816553288 3571428968254 7142857936508 12500001388889 14285715873016 25000002777778 50000005555556 100000011111112