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34460010111021 = 311101197415912619
BaseRepresentation
bin1111101010111010110001…
…01010010110000000101101
311112000100022100120022212120
413311131120222112000231
514004043100042023041
6201142413214223153
710154440114002255
oct765353052260055
9145010270508776
1034460010111021
11aa864543786a0
123a466b77b4ab9
13162c746433441
14871c32814965
153eb5b5c2b366
hex1f5758a9602d

34460010111021 has 64 divisors (see below), whose sum is σ = 50893144473600. Its totient is φ = 20566532448000.

The previous prime is 34460010111017. The next prime is 34460010111101. The reversal of 34460010111021 is 12011101006443.

It is a happy number.

It is not a de Polignac number, because 34460010111021 - 22 = 34460010111017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34460010110982 and 34460010111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34460010111221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2730797250 + ... + 2730809868.

It is an arithmetic number, because the mean of its divisors is an integer number (795205382400).

Almost surely, 234460010111021 is an apocalyptic number.

It is an amenable number.

34460010111021 is a deficient number, since it is larger than the sum of its proper divisors (16433134362579).

34460010111021 is a wasteful number, since it uses less digits than its factorization.

34460010111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17090.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 34460010111021 its reverse (12011101006443), we get a palindrome (46471111117464).

The spelling of 34460010111021 in words is "thirty-four trillion, four hundred sixty billion, ten million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 11 33 101 197 303 591 1111 2167 3333 4159 6501 12477 12619 19897 37857 45749 59691 137247 138809 218867 416427 420059 656601 819323 1260177 1274519 2457969 2485943 3823557 4620649 7457829 9012553 13861947 14019709 27037659 27345373 42059127 52482421 82036119 82751623 157447263 248254869 251080243 577306631 753240729 910267853 1731919893 2730803559 2761882673 5300724521 8285648019 10339036937 15902173563 31017110811 58307969731 113729406307 174923909193 341188218921 1044242730637 3132728191911 11486670037007 34460010111021