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214231231142300 = 225247241557339557
BaseRepresentation
bin110000101101011110011000…
…011011101001100110011100
31001002112022020211202002221102
4300231132120123221212130
5211034431030133023200
62035344245142252232
763060460422163241
oct6055363033514634
91032468224662842
10214231231142300
1162295a55a8a639
122003b545a27078
13926cbc29a3448
143ac8bbdcd75c8
1519b79a51786d5
hexc2d7986e999c

214231231142300 has 144 divisors (see below), whose sum is σ = 477600203380608. Its totient is φ = 83371048857600.

The previous prime is 214231231142281. The next prime is 214231231142303. The reversal of 214231231142300 is 3241132132412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214231231142303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630744122 + ... + 631083678.

It is an arithmetic number, because the mean of its divisors is an integer number (3316668079032).

Almost surely, 2214231231142300 is an apocalyptic number.

214231231142300 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 214231231142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238800101690304).

214231231142300 is an abundant number, since it is smaller than the sum of its proper divisors (263368972238308).

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

214231231142300 is a wasteful number, since it uses less digits than its factorization.

214231231142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340416 (or 340409 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 214231231142300 its reverse (3241132132412), we get a palindrome (217472363274712).

The spelling of 214231231142300 in words is "two hundred fourteen trillion, two hundred thirty-one billion, two hundred thirty-one million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 241 470 482 557 940 964 1114 1175 1205 2228 2350 2410 2785 4700 4820 5570 6025 11140 11327 12050 13925 22654 24100 26179 27850 45308 52358 55700 56635 104716 113270 130895 134237 226540 261790 268474 283175 339557 523580 536948 566350 654475 671185 679114 1132700 1308950 1342370 1358228 1697785 2617900 2684740 3355925 3395570 6309139 6711850 6791140 8488925 12618278 13423700 15959179 16977850 25236556 31545695 31918358 33955700 63091390 63836716 79795895 81833237 126182780 157728475 159591790 163666474 189133249 315456950 319183580 327332948 378266498 398979475 409166185 630913900 756532996 797958950 818332370 945666245 1595917900 1636664740 1891332490 2045830925 3782664980 3846162139 4091661850 4728331225 7692324278 8183323700 8889262703 9456662450 15384648556 17778525406 18913324900 19230810695 35557050812 38461621390 44446313515 45581113009 76923242780 88892627030 91162226018 96154053475 177785254060 182324452036 192308106950 222231567575 227905565045 384616213900 444463135150 455811130090 888926270300 911622260180 1139527825225 2142312311423 2279055650450 4284624622846 4558111300900 8569249245692 10711561557115 21423123114230 42846246228460 53557807785575 107115615571150 214231231142300