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1122340066729 = 72374115098813
BaseRepresentation
bin10000010101010000101…
…011100101010110101001
310222021221210211202001121
4100111100223211112221
5121342023024113404
62215332414415241
7144041430106300
oct20252053452651
93867853752047
101122340066729
113a2a88787862
12161625501521
1381ab421607b
143c47048b437
151e2dbda4e54
hex10550ae55a9

1122340066729 has 24 divisors (see below), whose sum is σ = 1373569307208. Its totient is φ = 913176149760.

The previous prime is 1122340066717. The next prime is 1122340066733. The reversal of 1122340066729 is 9276600432211.

It can be written as a sum of positive squares in 4 ways, for example, as 2292494400 + 1120047572329 = 47880^2 + 1058323^2 .

It is not a de Polignac number, because 1122340066729 - 217 = 1122339935657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1122340066769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7475074 + ... + 7623739.

It is an arithmetic number, because the mean of its divisors is an integer number (57232054467).

Almost surely, 21122340066729 is an apocalyptic number.

It is an amenable number.

1122340066729 is a deficient number, since it is larger than the sum of its proper divisors (251229240479).

1122340066729 is a wasteful number, since it uses less digits than its factorization.

1122340066729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15098905 (or 15098898 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 1122340066729 in words is "one trillion, one hundred twenty-two billion, three hundred forty million, sixty-six thousand, seven hundred twenty-nine".

Divisors: 1 7 37 41 49 259 287 1517 1813 2009 10619 74333 15098813 105691691 558656081 619051333 739841837 3910592567 4333359331 22904899321 27374147969 30333515317 160334295247 1122340066729