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231013322100 = 22325211192371747
BaseRepresentation
bin1101011100100101110…
…1111000110101110100
3211002021201022200110200
43113021131320311310
512241103402301400
6254043121120500
722455503560461
oct3271135706564
9732251280420
10231013322100
1189a76aa8110
1238931a89130
1318a27607142
14b276d44668
156021011b00
hex35c9778d74

231013322100 has 648 divisors, whose sum is σ = 856710979488. Its totient is φ = 51592204800.

The previous prime is 231013322083. The next prime is 231013322153. The reversal of 231013322100 is 1223310132.

231013322100 is a `hidden beast` number, since 2 + 310 + 1 + 332 + 21 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 132233427 + ... + 132235173.

Almost surely, 2231013322100 is an apocalyptic number.

231013322100 is a gapful number since it is divisible by the number (20) 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 231013322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428355489744).

231013322100 is an abundant number, since it is smaller than the sum of its proper divisors (625697657388).

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

231013322100 is a wasteful number, since it uses less digits than its factorization.

231013322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231013322100 its reverse (1223310132), we get a palindrome (232236632232).

The spelling of 231013322100 in words is "two hundred thirty-one billion, thirteen million, three hundred twenty-two thousand, one hundred".