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100200222111011 = 1131348016061777
BaseRepresentation
bin10110110010000110101110…
…101001010011010100100011
3111010210001021202112121210212
4112302012232221103110203
5101113140023330023021
6553035202505244335
730051140625044231
oct2662065651232443
9433701252477725
10100200222111011
1129a217481926a0
12b2a35837936ab
1343baac0491649
141aa5a065cd951
15b8b6874b985b
hex5b21aea53523

100200222111011 has 16 divisors (see below), whose sum is σ = 109681423178208. Its totient is φ = 90781157376000.

The previous prime is 100200222111007. The next prime is 100200222111043. The reversal of 100200222111011 is 110111222002001.

It is a cyclic number.

It is not a de Polignac number, because 100200222111011 - 22 = 100200222111007 is a prime.

It is a super-2 number, since 2×1002002221110112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100200222111061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13498955 + ... + 19560731.

It is an arithmetic number, because the mean of its divisors is an integer number (6855088948638).

Almost surely, 2100200222111011 is an apocalyptic number.

100200222111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100200222111011 is a deficient number, since it is larger than the sum of its proper divisors (9481201067197).

100200222111011 is a wasteful number, since it uses less digits than its factorization.

100200222111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066902.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100200222111011 its reverse (110111222002001), we get a palindrome (210311444113012).

The spelling of 100200222111011 in words is "one hundred trillion, two hundred billion, two hundred twenty-two million, one hundred eleven thousand, eleven".

Divisors: 1 11 313 3443 4801 52811 1502713 6061777 16529843 66679547 1897336201 20870698211 29102591377 320128505147 9109111101001 100200222111011