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101343141444 = 223471103162907
BaseRepresentation
bin101111001100010000…
…1011001111001000100
3100200120202222222221010
41132120201121321010
53130022321011234
6114320103122220
710215243326526
oct1363041317104
9320522888833
10101343141444
1139a8561a156
1217783743370
139730b710ac
144c955b1a16
1529820ec6e9
hex1798859e44

101343141444 has 48 divisors (see below), whose sum is σ = 241718980608. Its totient is φ = 33032123808.

The previous prime is 101343141409. The next prime is 101343141461. The reversal of 101343141444 is 444141343101.

It is an unprimeable number.

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, 540639 + ... + 703545.

It is an arithmetic number, because the mean of its divisors is an integer number (5035812096).

Almost surely, 2101343141444 is an apocalyptic number.

It is an amenable number.

101343141444 is an abundant number, since it is smaller than the sum of its proper divisors (140375839164).

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

101343141444 is a wasteful number, since it uses less digits than its factorization.

101343141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164064 (or 164062 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 101343141444 its reverse (444141343101), we get a palindrome (545484484545).

The spelling of 101343141444 in words is "one hundred one billion, three hundred forty-three million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 1103 2206 3309 4412 6618 13236 51841 103682 155523 162907 207364 311046 325814 488721 622092 651628 977442 1954884 7656629 15313258 22969887 30626516 45939774 91879548 179686421 359372842 539059263 718745684 1078118526 2156237052 8445261787 16890523574 25335785361 33781047148 50671570722 101343141444