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103997865169 = 11219215432
BaseRepresentation
bin110000011011011000…
…0010111110011010001
3100221102210022221021001
41200312300113303101
53200441423141134
6115435335102001
710341110161042
oct1406660276321
9327383287231
10103997865169
11401180a1400
12181a4811901
139a64b64533
145067dba8c9
152a8a1dc414
hex1836c17cd1

103997865169 has 27 divisors (see below), whose sum is σ = 120723000489. Its totient is φ = 89509491720.

The previous prime is 103997865157. The next prime is 103997865197. The reversal of 103997865169 is 961568799301.

It is a happy number.

The square root of 103997865169 is 322487.

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

It is not a de Polignac number, because 103997865169 - 211 = 103997863121 is a prime.

It is a super-2 number, since 2×1039978651692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103997865169.

It is not an unprimeable number, because it can be changed into a prime (103997865119) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67399012 + ... + 67400554.

Almost surely, 2103997865169 is an apocalyptic number.

103997865169 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

103997865169 is the 322487-th square number.

103997865169 is the 161244-th centered octagonal number.

It is an amenable number.

103997865169 is a deficient number, since it is larger than the sum of its proper divisors (16725135320).

103997865169 is an frugal number, since it uses more digits than its factorization.

103997865169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 64.

Multiplying 103997865169 by its sum of digits (64), we get a square (6655863370816 = 25798962).

The spelling of 103997865169 in words is "one hundred three billion, nine hundred ninety-seven million, eight hundred sixty-five thousand, one hundred sixty-nine".

Divisors: 1 11 19 121 209 361 1543 2299 3971 16973 29317 43681 186703 322487 557023 2380849 3547357 6127253 26189339 45236131 67399783 288082729 497597441 859486489 5473571851 9454351379 103997865169