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11052122466151 = 134774843241687
BaseRepresentation
bin1010000011010100010111…
…0101010110011101100111
31110010120110102021022010201
42200311011311112131213
52422034221322404101
635301135220531331
72220326616633124
oct240650565263547
943116412238121
1011052122466151
1135811a7005218
1212a5b85550b47
13622297b196c0
142a2cd5b1d74b
15142757552e01
hexa0d45d56767

11052122466151 has 16 divisors (see below), whose sum is σ = 12155738563584. Its totient is φ = 9984721513824.

The previous prime is 11052122466113. The next prime is 11052122466179. The reversal of 11052122466151 is 15166422125011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11052122466151 is a prime.

It is a super-2 number, since 2×110521224661512 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11052122466151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052122466751) 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 15 ways as a sum of consecutive naturals, for example, 45608230 + ... + 45849916.

It is an arithmetic number, because the mean of its divisors is an integer number (759733660224).

Almost surely, 211052122466151 is an apocalyptic number.

11052122466151 is a deficient number, since it is larger than the sum of its proper divisors (1103616097433).

11052122466151 is a wasteful number, since it uses less digits than its factorization.

11052122466151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316590.

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 11052122466151 in words is "eleven trillion, fifty-two billion, one hundred twenty-two million, four hundred sixty-six thousand, one hundred fifty-one".

Divisors: 1 13 47 611 74843 241687 972959 3141931 3517621 11359289 45729073 147670757 18088580141 235151541833 850163266627 11052122466151