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61140100104116 = 221113731012052243
BaseRepresentation
bin11011110011011010010011…
…11100101011111110110100
322000110221021200212122020022
431321231021330223332310
531003204411111312431
6334011212500224312
715610140451061465
oct1571551174537664
9260427250778208
1061140100104116
1118532409653910
126a3543b99b098
132816643388007
1411152a77c8d6c
157105dac1107b
hex379b49f2bfb4

61140100104116 has 24 divisors (see below), whose sum is σ = 116807021793504. Its totient is φ = 27770713520480.

The previous prime is 61140100104107. The next prime is 61140100104169.

61140100104116 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×611401001041162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505965710 + ... + 506086533.

It is an arithmetic number, because the mean of its divisors is an integer number (4866959241396).

Almost surely, 261140100104116 is an apocalyptic number.

It is an amenable number.

61140100104116 is a deficient number, since it is larger than the sum of its proper divisors (55666921689388).

61140100104116 is a wasteful number, since it uses less digits than its factorization.

61140100104116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012053631 (or 1012053629 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

It can be divided in two parts, 61140100 and 104116, that added together give a palindrome (61244216).

The spelling of 61140100104116 in words is "sixty-one trillion, one hundred forty billion, one hundred million, one hundred four thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 1373 2746 5492 15103 30206 60412 1012052243 2024104486 4048208972 11132574673 22265149346 44530298692 1389547729639 2779095459278 5558190918556 15285025026029 30570050052058 61140100104116