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200410342132 = 2271113173349829
BaseRepresentation
bin1011101010100101100…
…0110010001011110100
3201011021221102020002011
42322221120302023310
511240420021422012
6232022305054004
720323232541520
oct2725130621364
9634257366064
10200410342132
1177aa2460330
1232a11027304
1315b8b341c80
1499b27b8d80
15532e4cc1a7
hex2ea96322f4

200410342132 has 192 divisors, whose sum is σ = 475546176000. Its totient is φ = 71367505920.

The previous prime is 200410342127. The next prime is 200410342147. The reversal of 200410342132 is 231243014002.

200410342132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241749094 + ... + 241749922.

It is an arithmetic number, because the mean of its divisors is an integer number (2476803000).

Almost surely, 2200410342132 is an apocalyptic number.

200410342132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200410342132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237773088000).

200410342132 is an abundant number, since it is smaller than the sum of its proper divisors (275135833868).

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

200410342132 is a wasteful number, since it uses less digits than its factorization.

200410342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 200410342132 its reverse (231243014002), we get a palindrome (431653356134).

The spelling of 200410342132 in words is "two hundred billion, four hundred ten million, three hundred forty-two thousand, one hundred thirty-two".