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412101101214 = 232112081318693
BaseRepresentation
bin1011111111100110010…
…00111100011010011110
31110101201000221000010200
411333303020330122132
523222440340214324
6513152220444330
741526151364325
oct5776310743236
91411630830120
10412101101214
111498533678a0
1267a4b9a96a6
132cb2671096a
1415d353bb0bc
15aabde89ec9
hex5ff323c69e

412101101214 has 24 divisors (see below), whose sum is σ = 974057148792. Its totient is φ = 124879121520.

The previous prime is 412101101213. The next prime is 412101101221.

412101101214 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412101101213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1040659149 + ... + 1040659544.

It is an arithmetic number, because the mean of its divisors is an integer number (40585714533).

Almost surely, 2412101101214 is an apocalyptic number.

412101101214 is an abundant number, since it is smaller than the sum of its proper divisors (561956047578).

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

412101101214 is a wasteful number, since it uses less digits than its factorization.

412101101214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081318712 (or 2081318709 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, 412101 and 101214, that added together give a palindrome (513315).

The spelling of 412101101214 in words is "four hundred twelve billion, one hundred one million, one hundred one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2081318693 4162637386 6243956079 12487912158 18731868237 22894505623 37463736474 45789011246 68683516869 137367033738 206050550607 412101101214