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114221343210 = 235133722433529
BaseRepresentation
bin110101001100000011…
…1110110000111101010
3101220211021121102121220
41222120013312013222
53332411130440320
6124250023442510
711152340253342
oct1523007660752
9356737542556
10114221343210
1144493a74807
121a1785b6436
13aa03c39520
145757ab3d22
152e879e0e40
hex1a981f61ea

114221343210 has 128 divisors (see below), whose sum is σ = 303418241280. Its totient is φ = 27336185856.

The previous prime is 114221343209. The next prime is 114221343221. The reversal of 114221343210 is 12343122411.

It is a super-2 number, since 2×1142213432102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 32364726 + ... + 32368254.

It is an arithmetic number, because the mean of its divisors is an integer number (2370455010).

Almost surely, 2114221343210 is an apocalyptic number.

114221343210 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 114221343210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151709120640).

114221343210 is an abundant number, since it is smaller than the sum of its proper divisors (189196898070).

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

114221343210 is a wasteful number, since it uses less digits than its factorization.

114221343210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114221343210 its reverse (12343122411), we get a palindrome (126564465621).

The spelling of 114221343210 in words is "one hundred fourteen billion, two hundred twenty-one million, three hundred forty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 481 555 962 1110 1443 2243 2405 2886 3529 4486 4810 6729 7058 7215 10587 11215 13458 14430 17645 21174 22430 29159 33645 35290 45877 52935 58318 67290 82991 87477 91754 105870 130573 137631 145795 165982 174954 229385 248973 261146 275262 291590 391719 414955 437385 458770 497946 652865 688155 783438 829910 874770 1078883 1244865 1305730 1376310 1697449 1958595 2157766 2489730 3236649 3394898 3917190 5092347 5394415 6473298 7915547 8487245 10184694 10788830 15831094 16183245 16974490 23746641 25461735 32366490 39577735 47493282 50923470 79155470 102902111 118733205 205804222 237466410 292875239 308706333 514510555 585750478 617412666 878625717 1029021110 1464376195 1543531665 1757251434 2928752390 3087063330 3807378107 4393128585 7614756214 8786257170 11422134321 19036890535 22844268642 38073781070 57110671605 114221343210