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112010321310 = 235172310499103
BaseRepresentation
bin110100001010001010…
…1011101110110011110
3101201010012011212202220
41220110111131312132
53313344120240220
6123242401530210
711043502010346
oct1502425356636
9351105155686
10112010321310
11435599a7288
1219860043966
13a740b49144
1455c81a7d26
152da8848540
hex1a1455dd9e

112010321310 has 128 divisors (see below), whose sum is σ = 297329356800. Its totient is φ = 26861531136.

The previous prime is 112010321281. The next prime is 112010321321. The reversal of 112010321310 is 13123010211.

It is a happy number.

112010321310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1120103213102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112010321310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12300219 + ... + 12309321.

It is an arithmetic number, because the mean of its divisors is an integer number (2322885600).

Almost surely, 2112010321310 is an apocalyptic number.

112010321310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112010321310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148664678400).

112010321310 is an abundant number, since it is smaller than the sum of its proper divisors (185319035490).

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

112010321310 is a wasteful number, since it uses less digits than its factorization.

112010321310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112010321310 its reverse (13123010211), we get a palindrome (125133331521).

The spelling of 112010321310 in words is "one hundred twelve billion, ten million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1049 1173 1955 2098 2346 3147 3910 5245 5865 6294 9103 10490 11730 15735 17833 18206 24127 27309 31470 35666 45515 48254 53499 54618 72381 89165 91030 106998 120635 136545 144762 154751 178330 209369 241270 267495 273090 309502 361905 410159 418738 464253 534990 628107 723810 773755 820318 928506 1046845 1230477 1256214 1547510 2050795 2093690 2321265 2460954 3140535 3559273 4101590 4642530 6152385 6281070 7118546 9549047 10677819 12304770 17796365 19098094 21355638 28647141 35592730 47745235 53389095 57294282 95490470 106778190 143235705 162333799 219628081 286471410 324667598 439256162 487001397 658884243 811668995 974002794 1098140405 1317768486 1623337990 2196280810 2435006985 3294421215 3733677377 4870013970 6588842430 7467354754 11201032131 18668386885 22402064262 37336773770 56005160655 112010321310