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2103071338809 = 367276732
BaseRepresentation
bin11110100110101000110…
…100011111000100111001
321110001101122202101000000
4132212220310133010321
5233424042230320214
64250045421303213
7304641032300100
oct36465064370471
97401348671000
102103071338809
117409a8a42221
1229b70a404b09
1312341b47534c
1473b097a7037
1539a8bb9d809
hex1e9a8d1f139

2103071338809 has 63 divisors (see below), whose sum is σ = 3668445049503. Its totient is φ = 1201598429472.

The previous prime is 2103071338769. The next prime is 2103071338867. The reversal of 2103071338809 is 9088331703012.

It is a happy number.

The square root of 2103071338809 is 1450197.

It is a perfect power (a square), and thus also a powerful number.

2103071338809 is a `hidden beast` number, since 2 + 1 + 0 + 307 + 1 + 338 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1331358284025 + 771713054784 = 1153845^2 + 878472^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 2103071338809 - 27 = 2103071338681 is a prime.

It is a super-2 number, since 2×21030713388092 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2103071333809) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 274083397 + ... + 274091069.

Almost surely, 22103071338809 is an apocalyptic number.

2103071338809 is the 1450197-th square number.

2103071338809 is the 725099-th centered octagonal number.

It is an amenable number.

2103071338809 is a deficient number, since it is larger than the sum of its proper divisors (1565373710694).

2103071338809 is an frugal number, since it uses more digits than its factorization.

2103071338809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15378 (or 7683 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2103071338809 in words is "two trillion, one hundred three billion, seventy-one million, three hundred thirty-eight thousand, eight hundred nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 5103 7673 11907 23019 35721 53711 69057 161133 207171 375977 483399 621513 1127931 1450197 1864539 3383793 4350591 5593617 10151379 13051773 30454137 39155319 58874929 91362411 176624787 274087233 412124503 529874361 1236373509 1589623083 2884871521 3709120527 4768869249 8654614563 11127361581 14306607747 25963843689 33382084743 42919823241 77891531067 100146254229 233674593201 300438762687 701023779603 2103071338809