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213023120112 = 243211314338203
BaseRepresentation
bin1100011001100100101…
…0101101101011110000
3202100211221120201210100
43012121022231223300
511442232404320422
6241510024432400
721250624434135
oct3063112555360
9670757521710
10213023120112
1182384aa8090
1235351018700
131711b4274ca
14a44b94858c
15581b9417ac
hex31992adaf0

213023120112 has 120 divisors (see below), whose sum is σ = 671345745408. Its totient is φ = 62470108800.

The previous prime is 213023120083. The next prime is 213023120113. The reversal of 213023120112 is 211021320312.

213023120112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2130231201123 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213023120113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2119998 + ... + 2218205.

Almost surely, 2213023120112 is an apocalyptic number.

213023120112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213023120112 is an abundant number, since it is smaller than the sum of its proper divisors (458322625296).

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

213023120112 is a wasteful number, since it uses less digits than its factorization.

213023120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338259 (or 4338250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213023120112 its reverse (211021320312), we get a palindrome (424044440424).

The spelling of 213023120112 in words is "two hundred thirteen billion, twenty-three million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 24552 49104 4338203 8676406 13014609 17352812 26029218 34705624 39043827 47720233 52058436 69411248 78087654 95440466 104116872 134484293 143160699 156175308 190880932 208233744 268968586 286321398 312350616 381761864 403452879 429482097 537937172 572642796 624701232 763523728 806905758 858964194 1075874344 1145285592 1210358637 1479327223 1613811516 1717928388 2151748688 2290571184 2420717274 2958654446 3227623032 3435856776 4437981669 4841434548 5917308892 6455246064 6871713552 8875963338 9682869096 11834617784 13313945007 17751926676 19365738192 23669235568 26627890014 35503853352 53255780028 71007706704 106511560056 213023120112