Search a number
-
+
14212112310 = 2335117365551
BaseRepresentation
bin11010011110001101…
…11001111110110110
31100200110121002222000
431033012321332312
5213101300043220
610310130520130
71012121650524
oct151706717666
940613532860
1014212112310
116033404370
122907736046
131456547316
1498b72d314
15582a81390
hex34f1b9fb6

14212112310 has 128 divisors (see below), whose sum is σ = 41911326720. Its totient is φ = 3398112000.

The previous prime is 14212112287. The next prime is 14212112311. The reversal of 14212112310 is 1321121241.

14212112310 is a `hidden beast` number, since 1 + 421 + 2 + 11 + 231 + 0 = 666.

It is a super-2 number, since 2×142121123102 (a number of 21 digits) contains 22 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 (14212112311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184035 + ... + 249585.

It is an arithmetic number, because the mean of its divisors is an integer number (327432240).

Almost surely, 214212112310 is an apocalyptic number.

14212112310 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 14212112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20955663360).

14212112310 is an abundant number, since it is smaller than the sum of its proper divisors (27699214410).

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

14212112310 is a wasteful number, since it uses less digits than its factorization.

14212112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65651 (or 65645 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14212112310 its reverse (1321121241), we get a palindrome (15533233551).

The spelling of 14212112310 in words is "fourteen billion, two hundred twelve million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 73 90 99 110 135 146 165 198 219 270 297 330 365 438 495 594 657 730 803 990 1095 1314 1485 1606 1971 2190 2409 2970 3285 3942 4015 4818 6570 7227 8030 9855 12045 14454 19710 21681 24090 36135 43362 65551 72270 108405 131102 196653 216810 327755 393306 589959 655510 721061 983265 1179918 1442122 1769877 1966530 2163183 2949795 3539754 3605305 4326366 4785223 5899590 6489549 7210610 8849385 9570446 10815915 12979098 14355669 17698770 19468647 21631830 23926115 28711338 32447745 38937294 43067007 47852230 52637453 64895490 71778345 86134014 97343235 105274906 129201021 143556690 157912359 194686470 215335035 258402042 263187265 315824718 430670070 473737077 526374530 646005105 789561795 947474154 1292010210 1421211231 1579123590 2368685385 2842422462 4737370770 7106056155 14212112310