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213442444104 = 233199145930631
BaseRepresentation
bin1100011011001000101…
…0010011101101001000
3202101221011121121011120
43012302022103231020
511444112231202404
6242015404155240
721264205561101
oct3066212235510
9671834547146
10213442444104
118257a77143a
1235449538b20
1317187273606
14a48b4dd3a8
1558436709d9
hex31b2293b48

213442444104 has 64 divisors (see below), whose sum is σ = 536672640000. Its totient is φ = 70739127360.

The previous prime is 213442444099. The next prime is 213442444109. The reversal of 213442444104 is 401444244312.

It is an interprime number because it is at equal distance from previous prime (213442444099) and next prime (213442444109).

It is not an unprimeable number, because it can be changed into a prime (213442444109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6952869 + ... + 6983499.

It is an arithmetic number, because the mean of its divisors is an integer number (8385510000).

Almost surely, 2213442444104 is an apocalyptic number.

213442444104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213442444104 is an abundant number, since it is smaller than the sum of its proper divisors (323230195896).

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

213442444104 is a wasteful number, since it uses less digits than its factorization.

213442444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32298 (or 32294 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 213442444104 its reverse (401444244312), we get a palindrome (614886688416).

The spelling of 213442444104 in words is "two hundred thirteen billion, four hundred forty-two million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 199 398 597 796 1194 1459 1592 2388 2918 4377 4776 5836 8754 11672 17508 30631 35016 61262 91893 122524 183786 245048 290341 367572 580682 735144 871023 1161364 1742046 2322728 3484092 6095569 6968184 12191138 18286707 24382276 36573414 44690629 48764552 73146828 89381258 134071887 146293656 178762516 268143774 357525032 536287548 1072575096 8893435171 17786870342 26680305513 35573740684 53360611026 71147481368 106721222052 213442444104