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100204201141 = 11171427375509
BaseRepresentation
bin101110101010010100…
…0101100010010110101
3100120122101212211112221
41131110220230102311
53120204233414031
6114011055442341
710145103441052
oct1352450542265
9316571784487
10100204201141
1139550728480
12175062263b1
1395abc08015
144bc8218029
152917123a11
hex1754a2c4b5

100204201141 has 16 divisors (see below), whose sum is σ = 115825308480. Its totient is φ = 85675905280.

The previous prime is 100204201109. The next prime is 100204201157. The reversal of 100204201141 is 141102402001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100204201141 - 25 = 100204201109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100204201171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79095 + ... + 454603.

It is an arithmetic number, because the mean of its divisors is an integer number (7239081780).

Almost surely, 2100204201141 is an apocalyptic number.

100204201141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100204201141 is a deficient number, since it is larger than the sum of its proper divisors (15621107339).

100204201141 is a wasteful number, since it uses less digits than its factorization.

100204201141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376964.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100204201141 its reverse (141102402001), we get a palindrome (241306603142).

The spelling of 100204201141 in words is "one hundred billion, two hundred four million, two hundred one thousand, one hundred forty-one".

Divisors: 1 11 17 187 1427 15697 24259 266849 375509 4130599 6383653 70220183 535851343 5894364773 9109472831 100204201141