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10022430557271 = 31117292452725117
BaseRepresentation
bin1001000111011000011101…
…1010011100010001010111
31022111010122102021121211210
42101312013122130101113
52303201414210313041
633152124021432503
72053045113054066
oct221660732342127
938433572247753
1010022430557271
113214541846760
12115a4b786b733
1357915a25a612
1426913414a1dd
15125a8e26e016
hex91d8769c457

10022430557271 has 64 divisors (see below), whose sum is σ = 15969164359680. Its totient is φ = 5519315343360.

The previous prime is 10022430557171. The next prime is 10022430557311. The reversal of 10022430557271 is 17275503422001.

10022430557271 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022430557271 - 29 = 10022430556759 is a prime.

It is a super-2 number, since 2×100224305572712 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022430557171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399017205 + ... + 399042321.

It is an arithmetic number, because the mean of its divisors is an integer number (249518193120).

Almost surely, 210022430557271 is an apocalyptic number.

10022430557271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10022430557271 is a deficient number, since it is larger than the sum of its proper divisors (5946733802409).

10022430557271 is a wasteful number, since it uses less digits than its factorization.

10022430557271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49704.

The product of its (nonzero) digits is 117600, while the sum is 39.

Adding to 10022430557271 its reverse (17275503422001), we get a palindrome (27297933979272).

The spelling of 10022430557271 in words is "ten trillion, twenty-two billion, four hundred thirty million, five hundred fifty-seven thousand, two hundred seventy-one".

Divisors: 1 3 11 17 29 33 51 87 187 319 493 561 957 1479 5423 16269 24527 25117 73581 75351 269797 276287 416959 426989 711283 728393 809391 828861 1250877 1280967 2133849 2185179 4586549 4696879 7824113 8012323 12091811 12382681 13759647 14090637 23472339 24036969 36275433 37148043 133009921 136209491 399029763 408628473 616044659 1848133977 6776491249 10472759203 17865295111 20329473747 31418277609 53595885333 115200351233 196518246221 303710016887 345601053699 589554738663 911130050661 3340810185757 10022430557271