Search a number
-
+
1100432341041 = 3111271997091861
BaseRepresentation
bin10000000000110110111…
…000001111100000110001
310220012102000120222010220
4100000312320033200301
5121012141134403131
62201310500043253
7142334511365025
oct20006670174061
93805360528126
101100432341041
11394766406240
12159330693529
137ca02531287
143b392a8a385
151d958901e96
hex10036e0f831

1100432341041 has 64 divisors (see below), whose sum is σ = 1624498176000. Its totient is φ = 657070444800.

The previous prime is 1100432341003. The next prime is 1100432341061. The reversal of 1100432341041 is 1401432340011.

It is not a de Polignac number, because 1100432341041 - 238 = 825554434097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100432341061) 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, 591311451 + ... + 591313311.

It is an arithmetic number, because the mean of its divisors is an integer number (25382784000).

Almost surely, 21100432341041 is an apocalyptic number.

1100432341041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100432341041 is a deficient number, since it is larger than the sum of its proper divisors (524065834959).

1100432341041 is a wasteful number, since it uses less digits than its factorization.

1100432341041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1100432341041 its reverse (1401432340011), we get a palindrome (2501864681052).

The spelling of 1100432341041 in words is "one trillion, one hundred billion, four hundred thirty-two million, three hundred forty-one thousand, forty-one".

Divisors: 1 3 11 33 127 199 381 597 709 1397 1861 2127 2189 4191 5583 6567 7799 20471 23397 25273 61413 75819 90043 141091 236347 270129 278003 370339 423273 709041 834009 990473 1111017 1319449 1552001 2599817 2971419 3958347 4073729 4656003 7799451 12221187 14513939 17918557 43541817 47033053 53755671 141099159 167570023 197104127 262570351 502710069 517363583 591312381 787711053 1552090749 1843270253 2888273861 5529810759 8664821583 33346434577 100039303731 366810780347 1100432341041