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101301341466 = 231341127249421
BaseRepresentation
bin101111001011000000…
…1111100110100011010
3100200110212100100010210
41132112001330310122
53124431120411331
6114312011151550
710214225123643
oct1362601746432
9320425310123
10101301341466
1139a63a6a216
12177717455b6
1397252c7190
144c8dc106ca
15297d5e2446
hex179607cd1a

101301341466 has 64 divisors (see below), whose sum is σ = 225269968896. Its totient is φ = 30169843200.

The previous prime is 101301341437. The next prime is 101301341467. The reversal of 101301341466 is 664143103101.

It is a super-2 number, since 2×1013013414662 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101301341467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281436 + ... + 530856.

It is an arithmetic number, because the mean of its divisors is an integer number (3519843264).

Almost surely, 2101301341466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101301341466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112634984448).

101301341466 is an abundant number, since it is smaller than the sum of its proper divisors (123968627430).

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

101301341466 is a wasteful number, since it uses less digits than its factorization.

101301341466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249607.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 101301341466 its reverse (664143103101), we get a palindrome (765444444567).

The spelling of 101301341466 in words is "one hundred one billion, three hundred one million, three hundred forty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 127 246 254 381 533 762 1066 1599 1651 3198 3302 4953 5207 9906 10414 15621 31242 67691 135382 203073 249421 406146 498842 748263 1496526 3242473 6484946 9727419 10226261 19454838 20452522 30678783 31676467 61357566 63352934 95029401 132941393 190058802 265882786 398824179 411794071 797648358 823588142 1235382213 1298735147 2470764426 2597470294 3896205441 7792410882 16883556911 33767113822 50650670733 101301341466