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214334032110 = 235113373735167
BaseRepresentation
bin1100011110011101001…
…1011100100011101110
3202111020022021221222120
43013213103130203232
512002424003011420
6242244054053410
721325253133042
oct3074723344356
9674208257876
10214334032110
1182997a78730
123565804a266
1317299bb3193
14a533aaa022
155896a89d40
hex31e74dc8ee

214334032110 has 128 divisors (see below), whose sum is σ = 564448794624. Its totient is φ = 51656693760.

The previous prime is 214334032069. The next prime is 214334032139. The reversal of 214334032110 is 11230433412.

It is a happy number.

It is a super-2 number, since 2×2143340321102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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, 41478747 + ... + 41483913.

It is an arithmetic number, because the mean of its divisors is an integer number (4409756208).

Almost surely, 2214334032110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214334032110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282224397312).

214334032110 is an abundant number, since it is smaller than the sum of its proper divisors (350114762514).

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

214334032110 is a wasteful number, since it uses less digits than its factorization.

214334032110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 214334032110 its reverse (11230433412), we get a palindrome (225564465522).

The spelling of 214334032110 in words is "two hundred fourteen billion, three hundred thirty-four million, thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 337 373 674 746 1011 1119 1685 1865 2022 2238 3370 3707 3730 4103 5055 5167 5595 7414 8206 10110 10334 11121 11190 12309 15501 18535 20515 22242 24618 25835 31002 37070 41030 51670 55605 56837 61545 77505 111210 113674 123090 125701 155010 170511 251402 284185 341022 377103 568370 628505 754206 852555 1257010 1382711 1705110 1741279 1885515 1927291 2765422 3482558 3771030 3854582 4148133 5223837 5781873 6913555 8296266 8706395 9636455 10447674 11563746 13827110 17412790 19154069 19272910 20740665 21200201 26119185 28909365 38308138 41481330 42400402 52238370 57462207 57818730 63600603 95770345 106001005 114924414 127201206 191540690 212002010 287311035 318003015 574622070 636006030 649497067 1298994134 1948491201 3247485335 3896982402 6494970670 7144467737 9742456005 14288935474 19484912010 21433403211 35722338685 42866806422 71444677370 107167016055 214334032110