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112410014211 = 321143253110433
BaseRepresentation
bin110100010110000101…
…0001011001000000011
3101202011001021101100200
41220230022023020003
53320203430423321
6123350200420243
711056424232645
oct1505412131003
9352131241320
10112410014211
11437445824a0
1219951a77683
13a7a58b0a11
1456252cc895
152dcd99ad26
hex1a2c28b203

112410014211 has 48 divisors (see below), whose sum is σ = 181339247232. Its totient is φ = 66510259200.

The previous prime is 112410014149. The next prime is 112410014219.

112410014211 is a `hidden beast` number, since 1 + 1 + 241 + 0 + 0 + 1 + 421 + 1 = 666.

112410014211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112410014211 - 214 = 112409997827 is a prime.

It is a super-2 number, since 2×1124100142112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112410014219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10769251 + ... + 10779683.

It is an arithmetic number, because the mean of its divisors is an integer number (3777900984).

Almost surely, 2112410014211 is an apocalyptic number.

112410014211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112410014211 is a deficient number, since it is larger than the sum of its proper divisors (68929233021).

112410014211 is a wasteful number, since it uses less digits than its factorization.

112410014211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13024 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1124100 and 14211, that added together give a palindrome (1138311).

The spelling of 112410014211 in words is "one hundred twelve billion, four hundred ten million, fourteen thousand, two hundred eleven".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 2531 4257 7593 10433 22779 27841 31299 83523 93897 108833 114763 250569 326499 344289 448619 979497 1032867 1197163 1345857 3591489 4037571 4934809 10774467 14804427 26405923 44413281 79217769 237653307 290465153 871395459 1135454689 2614186377 3406364067 10219092201 12490001579 37470004737 112410014211