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10227442077 = 3714093319
BaseRepresentation
bin10011000011001101…
…00110000110011101
3222101202201220000000
421201212212012131
5131421211121302
64410505324513
7511305552246
oct114146460635
928352656000
1010227442077
114379140676
121b95196739
13c6cb62398
146d0449ccd
153ecd3831c
hex2619a619d

10227442077 has 32 divisors (see below), whose sum is σ = 15354336000. Its totient is φ = 6811402752.

The previous prime is 10227442007. The next prime is 10227442109. The reversal of 10227442077 is 77024472201.

It is a happy number.

10227442077 is a `hidden beast` number, since 1 + 0 + 227 + 4 + 420 + 7 + 7 = 666.

It is not a de Polignac number, because 10227442077 - 28 = 10227441821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10227442007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3079824 + ... + 3083142.

It is an arithmetic number, because the mean of its divisors is an integer number (479823000).

Almost surely, 210227442077 is an apocalyptic number.

It is an amenable number.

10227442077 is a deficient number, since it is larger than the sum of its proper divisors (5126893923).

10227442077 is an frugal number, since it uses more digits than its factorization.

10227442077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 10227442077 in words is "ten billion, two hundred twenty-seven million, four hundred forty-two thousand, seventy-seven".

Divisors: 1 3 9 27 81 243 729 1409 2187 3319 4227 9957 12681 29871 38043 89613 114129 268839 342387 806517 1027161 2419551 3081483 4676471 7258653 14029413 42088239 126264717 378794151 1136382453 3409147359 10227442077