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100112221011 = 31137611976823
BaseRepresentation
bin101110100111100100…
…1110100001101010011
3100120101222210202112110
41131033021310031103
53120012212033021
6113554012200403
710142605560315
oct1351711641523
9316358722473
10100112221011
1139503814440
121749b469103
139595b419ca
144bb9d137b5
15290e005476
hex174f274353

100112221011 has 64 divisors (see below), whose sum is σ = 152799077376. Its totient is φ = 57763238400.

The previous prime is 100112221007. The next prime is 100112221021. The reversal of 100112221011 is 110122211001.

It is not a de Polignac number, because 100112221011 - 22 = 100112221007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100112221021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14669346 + ... + 14676168.

It is an arithmetic number, because the mean of its divisors is an integer number (2387485584).

Almost surely, 2100112221011 is an apocalyptic number.

100112221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100112221011 is a deficient number, since it is larger than the sum of its proper divisors (52686856365).

100112221011 is a wasteful number, since it uses less digits than its factorization.

100112221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7132.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100112221011 its reverse (110122211001), we get a palindrome (210234432012).

It can be divided in two parts, 100112 and 221011, that added together give a palindrome (321123).

The spelling of 100112221011 in words is "one hundred billion, one hundred twelve million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 11 33 37 61 111 183 197 407 591 671 1221 2013 2167 2257 6501 6771 6823 7289 12017 20469 21867 24827 36051 74481 75053 80179 132187 225159 240537 252451 396561 416203 444629 757353 1248609 1333887 1344131 2776961 4032393 4578233 4890919 8330883 13734699 14672757 14785441 15399511 44356323 46198533 49732847 81991991 149198541 169394621 245975973 508183863 547061317 901911901 1641183951 2705735703 3033703667 9101111001 33370740337 100112221011