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42032211100 = 22521191941579
BaseRepresentation
bin100111001001010100…
…001010010010011100
311000111022000120001021
4213021110022102130
51142040221223400
631150452053524
73015411620335
oct471124122234
9130438016037
1042032211100
111690a0a6350
1281906042a4
133c6b0c7139
14206a44d28c
15116010d71a
hex9c950a49c

42032211100 has 72 divisors (see below), whose sum is σ = 99612374400. Its totient is φ = 15267441600.

The previous prime is 42032211077. The next prime is 42032211107. The reversal of 42032211100 is 111223024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032211107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990111 + ... + 1031689.

It is an arithmetic number, because the mean of its divisors is an integer number (1383505200).

Almost surely, 242032211100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42032211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49806187200).

42032211100 is an abundant number, since it is smaller than the sum of its proper divisors (57580163300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42032211100 is a wasteful number, since it uses less digits than its factorization.

42032211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42523 (or 42516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 42032211100 its reverse (111223024), we get a palindrome (42143434124).

The spelling of 42032211100 in words is "forty-two billion, thirty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 919 1100 1838 3676 4595 9190 10109 18380 20218 22975 40436 41579 45950 50545 83158 91900 101090 166316 202180 207895 252725 415790 457369 505450 831580 914738 1010900 1039475 1829476 2078950 2286845 4157900 4573690 9147380 11434225 22868450 38211101 45736900 76422202 152844404 191055505 382111010 420322111 764222020 840644222 955277525 1681288444 1910555050 2101610555 3821110100 4203221110 8406442220 10508052775 21016105550 42032211100