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11344124097 = 32192931109677
BaseRepresentation
bin10101001000010100…
…11001100011000001
31002021120222012202100
422210022121203001
5141213043432342
65113355541013
7551055315045
oct124412314301
932246865670
1011344124097
1148a150a379
12224715a769
1310ba304187
1479888c025
15465db6e4c
hex2a42998c1

11344124097 has 96 divisors (see below), whose sum is σ = 18615168000. Its totient is φ = 6623285760.

The previous prime is 11344124093. The next prime is 11344124111. The reversal of 11344124097 is 79042144311.

11344124097 is a `hidden beast` number, since 113 + 4 + 412 + 40 + 97 = 666.

It is not a de Polignac number, because 11344124097 - 22 = 11344124093 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11344124093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16756123 + ... + 16756799.

It is an arithmetic number, because the mean of its divisors is an integer number (193908000).

Almost surely, 211344124097 is an apocalyptic number.

It is an amenable number.

11344124097 is a deficient number, since it is larger than the sum of its proper divisors (7271043903).

11344124097 is a wasteful number, since it uses less digits than its factorization.

11344124097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11344124097 in words is "eleven billion, three hundred forty-four million, one hundred twenty-four thousand, ninety-seven".

Divisors: 1 3 9 19 29 31 57 87 93 109 171 261 279 327 551 589 677 899 981 1653 1767 2031 2071 2697 3161 3379 4959 5301 6093 6213 8091 9483 10137 12863 17081 18639 19633 20987 28449 30411 38589 51243 58899 60059 62961 64201 73793 97991 115767 153729 176697 180177 188883 192603 221379 293973 373027 398753 540531 577809 608623 664137 881919 1119081 1196259 1402067 1825869 1861829 2139997 2287583 3357243 3588777 4206201 5477607 5585487 6419991 6862749 11563837 12618603 16756461 19259973 20588247 34691511 40659943 43464077 66339907 104074533 121979829 130392231 199019721 365939487 391176693 597059163 1260458233 3781374699 11344124097